VII. The Main Tables.

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Key: Cxx Composite cofactor of xx digits

Pxx Prime factor of xx digits

(x; : : : ) Get algebraic factors from lines x; : : :

7_ 7 is an intrinsic (prime) factor (see III C)

L,M Aurifeuillian algebraic factorization (see III C)

h An odd integer, 2k 􀀀 1

cii

2􀀀

Factorizations of 2n 􀀀 1; n odd, n < 1200

n Prime Factors

3 7

5 31

7 127

9 (3) 73

11 23.89

13 8191

15 (3,5) 151

17 131071

19 524287

21 (3,7) 7*.337

23 47.178481

25 (5) 601.1801

27 (3,9) 262657

29 233.1103.2089

31 2147483647

33 (3,11) 599479

35 (5,7) 71.122921

37 223.616318177

39 (3,13) 79.121369

41 13367.164511353

43 431.9719.2099863

45 (3,5,9,15) 631.23311

47 2351.4513.13264529

49 (7) 443 2676798593

51 (3,17) 103.2143.11119

53 6361.69431.20394401

55 (5,11) 881.3191.201961

57 (3,19) 32377.1212847

59 179951.320 3431780337

61 230584300 9213693951

63 (3,7,9,21) 92737.649657

65 (5,13) 14529 5143558111

67 193707721.76 1838257287

69 (3,23) 1005 2678938039

71 228479.48544121.212885833

73 439.2298041.936 1973132609

75 (3,5,15,25) 100801.10567201

77 (7,11) 58128364 3249112959

79 2687.202029703.111 3491139767

81 (3,9,27) 2593.71119.97685839

83 167.579 1261411327 5649087721

85 (5,17) 952097280 6333758431

87 (3,29) 4177.985 7737155463

89 6189700 1964269013 7449562111

91 (7,13) 911.112901153.2 3140471537

93 (3,31) 65881228 8653553079

95 (5,19) 191.420778751.3 0327152671

97 11447.138426 0723582848 5645766393

99 (3,9,11,33) 199.153649.3 3057806959

101 743 2339208719.34111753 1003194129

103 2550183799.39 7665642994 1438590393

1

2􀀀 Prime Factors 2

105 (3,5,7,15,21,35) 29191.106681.152041

107 162 2592768292 1336339157 8010288127

109 745988807.8700 3598609872 0987332873

111 (3,37) 321679.26295457.319020217

113 3391.23279.65993.1868569.106681 8132868207

115 (5,23) 14951.4036961.264650 7710984041

117 (3,9,13,39) 937.6553.86113.7830118297

119 (7,17) 239.20231.6 2983048367.13 1105292137

121 (11) 727.1 7863938783 6316422785 8270210279

123 (3,41) 3887047.17772225 3954175633

125 (5,25) 26 9089806001.471088316 8879506001

127 170141183 4604692317 3168730371 5884105727

129 (3,43) 110530 3606504929 4753459639

131 263.10350794 4310551623 8671861923 7468234569

133 (7,19) 163 5372208527 2539885143 4325720959

135 (3,5,9,15,27,45) 271.348031.4997 1617830801

137 3203221559 6496435569.54 3904218360 0204290159

139 562 5767248687.1238761322 0520833576 2278423601

141 (3,47) 4375578271.64667503 5253258729

143 (11,13) 724153.15 8822951431.578217211 3400990737

145 (5,29) 2679 8951577838 6281469002 7494144991

147 (3,7,21,49) 7*.27416 7236252872 5535068727

149 8665626856 6282183151.82351 0933669084 6723986161

151 18121.55871.165799.2332951.72890 8838338825 3664437433

153 (3,9,17,51) 919.755824 8842417934 7083438319

155 (5,31) 31*.311.11471.73471.4649919401.1815 8209813151

157 852133201.6 0726444167.165 4058017289.213438 7368610417

159 (3,53) 6679.13960201.540701761.22 9890275929

161 (7,23) 1289.3188767.4 5076044553.1480860771 5315782481

163 150287.704161.110211473.2 7669118297.3623045457 0129675721

165 (3,5,11,15,33,55) 20485 6883529738 0486760231

167 2349023.7963 8304766856 5073777786 1629608744 8490695649

169 (13) 4057.674 0339310641.3 3407622839 5239532950 6327023033

171 (3,9,19,57) 93507247.30426 4563479254 1312037847

173 730753.1505447.7008443 6712553223.1552 8574328857 2277679887

175 (5,7,25,35) 39551.60816001.5353 4762479148 8552837151

177 (3,59) 184081.2 7989941729.921362408 4535989031

179 359.1433.148945910 9360039866 4569401970 9543372166 4951999121

181 43441.1164193.7648337.7923871 0972852956 2534464766 5764672671

183 (3,61) 367.55633.372017086 2530514630 3973352041

185 (5,37) 158785 5697992791.72488085 9928576000 1152755641

187 (11,17) 707983.103 2670816743 8438609988 5005627895 0666491537

189 (3,7,9,21,27,63) 1560007.2076174 8554425839 2970753527

191 383.7068569257.3 9940132241.33258 4516519201.8727449712 4602996457

193 13821503.616 5444023324 8340616559.147322653 2114531733 1353282383

195 (3,5,13,15,39,65) 1343041968 4509926257 2814573351

197 7487.268288 0399791288 6929710867 0418919894 9048689384 5712448833

199 16 4504919713.488416409 3883941177 6600490985 8632430297 7543600799

201 (3,67) 1609.22111.87 4494233974 2585794267 8833145441

203 (7,29) 136417.121793911.11348055 5808832720 1109085605 3175361113

205 (5,41) 2940521.7 0171342151.3 6557250655 0879718167 4078959681

207 (3,9,23,69) 79903.634569679.223 2578641663.4216 6482463639

209 (11,19) 9480 3416684681.151234 8937147247.53469 5054132396 0232319657

211 15193.6027295643 3838849161.3593875704 4958237573 8819989426 8773153439

213 (3,71) 66457.284988197 2114740679.420526857 4191396793

215 (5,43) 1721.731516431.51 4851898711.2979272 8974404776 4444862191

217 (7,31) 5209.62497.62 6870393384 0364033151.3784 2880443142 4484082633

219 (3,73) 3943.67116589 8617413417.48 1531461520 4347717321

221 (13,17) 1327.23654 5439841839 9772605086 2092143634 5855283986 6247069233

223 18287.196687.1466449.2916841.14 6949526239 8780123809.P24

225 (3,5,9,15,25,45,75) 115201.617401.1348206751.1386136 9826299351

3 Prime Factors 2􀀀

227 2698633 3437777017.P52

229 1504073.20492753.5983345 7464970183.P39

231 (3,7,11,21,33,77) 463.P34

233 1399.135607.622577.P57

235 (5,47) 2391314881.7 2296287361.P35

237 (3,79) 1423.49297.2372882351 2345609279.3135737341 7090093431

239 479.1913.5737.176383.134000609.P49

241 22000409.P66

243 (3,9,27,81) 487.1675 3783618801.19297 1705688577.371299016 3251158343

245 (5,7,35,49) 1471.P48

247 (13,19) 15809.645 9570124697.40200 4106269663.P34

249 (3,83) 1621324657.P40

251 503.54217.1 7823028721 4063289511.616 7688219869 5257501367.P26

253 (11,23) 23*.4103188409.1999 5773632843 5366769577.P32

255 (3,5,15,17,51,85) 106591.949111.P28

257 53500 6138814359.11556 8539524661 9182673033.P39

259 (7,37) 2499285769.P56

261 (3,9,29,87) P51

263 23671.1357 2264529177.1202263 6053684849 8024035943.P36

265 (5,53) 2 9324808311.19774 8738449921.P38

267 (3,89) 78903841.2875 3302853087.P32

269 13822297.P74

271 1 5242475217.P72

273 (3,7,13,21,39,91) 108749551.409320 4977277417.8697759580 1949844993

275 (5,11,25,55) 3 8202766513 4363932751.P40

277 1121297.31133636 3056102094 8220110905 0392404721.P40

279 (3,9,31,93) 16183.34039.1437967.83373 2508401263.20344 3983695186 7299888617

281 80929.P80

283 9623.6 8492481833.P71

285 (3,5,15,19,57,95) 14 9147703568 9218775711.253 4924298663 7720573561

287 (7,41) 1 7137716527.P62

289 (17) 12761663.1790 5831260439 2742511009.P52

291 (3,97) 272959.2065304407.5434876633.P34

293 401223 6245561622 1971122353.P63

295 (5,59) 4721.132751.5794391.128818831.3812358161.45282 4604065751.P22

297 (3,9,11,27,33,99) 8950393.P48

299 (13,23) 599.9341359.1 4718679249.1344447683 6590589479.

.5144156315 1591093599.2 6024244971 2509916159 299

301 (7,43) 490631.3655 0582371197 8039310711.P47

303 (3,101) 607.P58

305 (5,61) 1831.2441.4271.270841.48407 4637694471.P42

307 14608903.85798519.2 3487583303.7 8952752017.P57

309 (3,103) 19 5327276678 0718501831.P40

311 5344847.2 6476493739 1020515846 8946067671.P57

313 10960009.1478797 0697180273.38571 9476428914 1165278097.P47

315 (3,5,7,9,15,21,35,45,63,105) 870031.983431.P32

317 9511.58749252 1482839879.48681 2267132209 8041565641.P49

319 (11,29) 18503.64439.8 4819793631.P64

321 (3,107) 1786 6285599391.P51

323 (17,19) 647.7753.3904435878 8825633753.P61

325 (5,13,25,65) 7151.5 1879585551.P58

327 (3,109) 2059727673 4348736647.331 5702979495 9983067039.P23

329 (7,47) 12503.200033.9106063.270447871.P58

331 1693 7389168607.86511 8802936559.P72

333 (3,9,37,111) 1999.10657.169831.1238761.36085879.199381087.

.69 8962539799.409646055 9560875111 333

335 (5,67) 464311.1532217641.P65

337 18199.2806537.9 5763203297.72 6584894969.P68

339 (3,113) 10113049.3200216 2476840557 4452943847.P34

341 (11,31) 556012549 3425335999.1269 0114180536 9975317583.P49

343 (7,49) 6073159.1428389887.6 2228099977.P62

2􀀀 Prime Factors 4

345 (3,5,15,23,69,115) P54

347 141 4318911295 2632419639.P83

349 177 9973928671.34 7203962732 1265779992 0861294559.P62

351 (3,9,13,27,39,117) 446473.29121769.57189 0896913727.9371500 8807883087.P21

353 931921.2927 4554768003 0196411680 5545194017.P67

355 (5,71) 12 1932688511.P73

357 (3,7,17,21,51,119) 4999.2452 6224891371 5001137177.P31

359 719.855857.778165529.6587733 0027880703.

.370906 5807444927 8543029950 3112990447.P39 359

361 (19) 952 2401530937.36 4505682067 7060879117 8096385783.P59

363 (3,11,33,121) 8713.7593961.7 5824014993.P45

365 (5,73) 8761.1382 8603741081.8259 5052745831.P56

367 12479.51791041.7813 8581882953.3013111165 4089911444 6723859201.P56

369 (3,9,41,123) 637638 6802464073.P57

371 (7,53) 743.2969.6 3781899287.2 0471236659 7949333831.P57

373 25569151.P105

375 (3,5,15,25,75,125) 751.P58

377 (13,29) 5279.148055441.359661017.P81

379 18 0818808679.P103

381 (3,127) 2287.15241.349759.P63

383 1440847.7435494593.5038230 4420458112 9045587727.

.15174 9235586808 1261681843 6353130417.P39 383

385 (5,7,11,35,55,77) 55441.197 1764055031.P56

387 (3,9,43,129) 11492353.2276 3003975641.68340 4033534957 8249140287.P31

389 56478911.4765678679.P100

391 (17,23) 37537.2580624 8225716242 8454918322 4489963592 7231330561.P55

393 (3,131) 36093121.51118297.58352641.P55

395 (5,79) 12641.5435488351.1 6203007441.P70

397 2383.6353.50023.53993.202471.5877983.

.8141328728 0852258794 0886856743.1 2349042135 7600027254 2841146073.P31 397

399 (3,7,19,21,57,133) 73417.83791.P56

401 85 6971565399.21 3695896552 4920285681.

.594 5381008489 4522316988 2301931953.P55 401

403 (13,31) 45137.8532838289.P94

405 (3,5,9,15,27,45,81,135) 537841.1109652 7935003481.P44

407 (11,37) 3257.3068001817.18263759 4072223475 4636475033.P68

409 448 0666067023.7602 5626689833.P97

411 (3,137) 823.2726190 4199932321.6479 2346993635 5993348337.P39

413 (7,59) 2006647231.6774 0278334733 7597691502 1445395839.P62

415 (5,83) 47 0933694191.302 8917598961.13066 6175908831.

.323672 1847137583 5379289471.P35 415

417 (3,139) 760 6017793609.P70

419 839.90378 0021613921.58004 2271672283 3271214743.

.10287968 8843417722 3009615903 6619433593.P47 419

421 61400 2928307599.P112

423 (3,9,47,141) 1 6171899997 3041580172 8461273583.P53

425 (5,17,25,85) P97

427 (7,61) 33282089.P101

429 (3,11,13,33,39,143) 1 7286204937.1 0651077177 5654289288 2802586807.P33

431 863.3449.36238481.76859369.558062249.4642152737.

.1 4285031279 9017452169.P70 431

433 2208676541 7396827057.7377 4836381254 6584876297.

.50286 6783251171 5101284999.P63 433

435 (3,5,15,29,87,145) 2565822 2588558100 1782477601.P42

437 (19,23) 3198841.5579617.620314 5044672921.P90

439 104110607.12732 1491658223.1 2255175273 3003055543.P90

441 (3,7,9,21,49,63,147) 126127.309583.5828257.44875 3375334630 5838985313.P34

443 887.20781 8990653657.P117

445 (5,89) 2671.146038454 0571001412 2841418318 4545302663 7206635511.P55

447 (3,149) P89

5 Prime Factors 2􀀀

449 1256303.687 1197486841.35 7862061646 8306981503.

.526385 7337680511 8944194716 8504909159.P59 449

451 (11,41) 18041.216481.971 8704501529.53893972 0215834697.P80

453 (3,151) 79 0468905817.P79

455 (5,7,13,35,65,91) 200201.P82

457 150327409.P130

459 (3,9,17,27,51,153) 40777069 3450231393.2441867195 1944649151.P50

461 2767.35822885 6441770927.709935373 4763245383.P99

463 11113.3407681.44874 7600991881.2399320 7100985768 1156251129.

.3856065 8006268808 7218266143.P62 463

465 (3,5,15,31,93,155) 2791.103231.P65

467 121606801.11489845 3788590619 6977362003 6860907394 6072556474 7973734847.P76

469 (7,67) 7032195 8644800017.183963309 8314450447.P84

471 (3,157) P94

473 (11,43) 12853303.13313 9883512681.419355137 9485561391.

.17036166 9146983324 4854254847.P60 473

475 (5,19,25,95) 4751.18020551.13697 3873571388 8876695951.

.1137094 6743387812 0743807151.P48 475

477 (3,9,53,159) 94447.4879711.242003089.P74

479 33385343.6293443049.

.6834814 4511804127 8287416124 0737227111 6907030762 7777892361.P71 479

481 (13,37) 1 3872473380 5016586033.5800 9763180606 4494897042 4014255729.P76

483 (3,7,21,23,69,161) 967.18423553.172384633.11 8669455537 4004016103.P41

485 (5,97) 1008 4875238121.342240 6433812600 3049783351.

.6 4244147312 4595028645 0458211761.P46 485

487 4871.P143

489 (3,163) 836191.355307401.11653 9854237679.6 1907922236 1672204943.P48

491 983.7707719.11009 7436327057.697644705 2525718623.

.199709051 1862319585 1890562673.3717542 6764397794 7378687664 3915388439.P41 491

493 (17,29) 3616649.10353001.P121

495 (3,5,9,11,15,33,45,55,99,165) 991.3342029347 6473795143 8594746151.P40

497 (7,71) 6959.25 4461617383.P111

499 20959.1998 4472227111 4354593160 6352264121.P113

501 (3,167) 251290 0479691207 2003423103.P75

503 321368 4984979279.1215898705 4135300783.18 7303066506 1080894263.P96

505 (5,101) 190678584 9099933631.P102

507 (3,13,39,169) P94

509 12619129.1908947984 5124902223.6471 2571564388 4876759057.P104

511 (7,73) 15212471.

.1447809 7418708626 0903935034 7614137456 4363657829 0924150417.P67 511

513 (3,9,19,27,57,171) 57457.3 5473416481.12 1323854647.223771 7449946593.P56

515 (5,103) 1031.989831.960954 2171344242 4589832881 4050043401.P78

517 (11,47) 82721.387348809.129280093 9332382943.

.2703 7411413683 0957955241.26302 8957291795 7236576800 2599674239.P49 517

519 (3,173) 1039.P101

521 P157

523 160188778 3132021186 1054368536 8878688932 8287011365 0144493221 7468039063.P90

525 (3,5,7,15,21,25,35,75,105,175) 4201.7351.181165951.P57

527 (17,31) 1330 6086595097 8666322367 5273006762 9415649399.

.5006121462 2509969230 5281872801 4919168359 6667776057.P52 527

529 (23) 549991 4214774084 0245669969.3479166 0802631594 9237260151.

.911490 1722266383 6298075743 3221725894 4092868367.P55 529

531 (3,9,59,177) 1063.288236359.19 6629322303.1588 8898944343.

.8 0995594104 6412070884 8563721343.P38 531

533 (13,41) 166297.74 4487658617.P128

535 (5,107) 12841.95231.879622391.3313 4392085335 6078376431.

.23718232 0324015606 1744516668 6464799001.P49 535

537 (3,179) 4297.16111.196543.P94

539 (7,11,49,77) 234 3417892604 9393366240 2728271919.P95

541 4312790327.611 5209994009.77 1464482948 3186947215 1022106713.

.904106 5553818987 0325373325 4107256591.P73 541

2􀀀 Prime Factors 6

543 (3,181) 1087.53 4955385319 5925112274 1917587257 6025063351.P64

545 (5,109) 3271.213641.1810 9412991311.251169621 0834096991.

.76475 1317090334 9335637401.P65 545

547 5471.17272060 4638150729.1 5755219612 8597543991.P124

549 (3,9,61,183) 38431.138652 5709821079.P89

551 (19,29) 4409.14327.27551.P140

553 (7,79) 16615 3042787383.P127

555 (3,5,15,37,111,185) 27751.P83

557 3343.21993703.45 6550895141 4453792719.

.22053 2360969202 1927063252 1586535711.P101 557

559 (13,43) 3180000071.9215285 8950655262 9125651874 1915902569.P105

561 (3,11,17,33,51,187) 146983.200964 3799642447.P77

563 28157 4708025664 1401887817.13299 2139748728 2593245246 0424235657.P111

565 (5,113) 1 8531816017 1793066961.29444 5493037037 5461102653 7050435001.P80

567 (3,7,9,21,27,63,81,189) P98

569 15854617.55470673.1826027680 1569009911 0572536951.

.11 0582329556 3437045524 0401690435 6632250881.P87 569

571 5711.27409.696 9336604531 6671685098 7123010079 4095801832 5270028\

495 4822613267 5916172927.P91 571

573 (3,191) 32788207.P107

575 (5,23,25,115) 1151.1322 0653410551.P117

577 3463.13230 5774316967.P157

579 (3,193) P116

581 (7,83) 798037199.17590 8273685537.

.1 5444711420 0062033511 6517087984 8557117713.P85 581

583 (11,53) 755569.6 5780528969.10 6077807287.P129

585 (3,5,9,13,15,39,45,65,117,195) 2400314671.33917500 3117573351.

.2 5537521531 6698521591.P40 585

587 554129.2926783.3948 3330766889.7320828330 4744901303.

.37282 9886342203 9632638351.P107 587

589 (19,31) 18083479.36064471.

.202370 6519999643 9905852391 1506433698 0154410119.P103 589

591 (3,197) 407791.50070703.30 4292056417.P93

593 104369.30 6114430711 0551703729.

.4027016481 7611197635 5395246396 5455549881.P113 593

595 (5,7,17,35,85,119) 34511.199921.6993598 7114957671.P90

597 (3,199) 5066143.144 5406523039.P101

599 166 5937903460 7403556537.

.14829 6291984475 0779557273 1744756472 1950969097.P114 599

601 3607.64863527.

.6433907608 9682627280 6925563059 6126855090 3926503106 7456849993.P110 601

603 (3,9,67,201) 64 8168721774 4095113781 1615141089 8673195879.P78

605 (5,11,55,121) 3631.14 3448045841.P118

607 P183

609 (3,7,21,29,87,203) 15109165 3292455152 3198583492 5494692879.P65

611 (13,47) 1223.160965541 5875897360 9043710804 3716461150 1156560743.P115

613 4459947 6833089207.332817 7227703141 8779432544 6534549089.P133

615 (3,5,15,41,123,205) 1231.49201.9275753 1554705041.

.34270 0709460464 1668368081.P48 615

617 59233.6 8954123297.

.1 5775197811 5225385495 6475324210 0647812722 9405644601.P120 617

619 110183.71 0820995447.

.109378 6816710752 9719569248 0234213908 1236425601 9225103845 5204252439.P105 619

621 (3,9,23,27,69,207) 624456487.9374 7988411543.P97

623 (7,89) 7438343 0474532481.

.7471696 4067758844 3216618909 2550301133 7830328521.P95 623

625 (5,25,125) 127729767 9372570001.5737598 2050701863 9639785001.

.181 5290283929 1497575027 4626399771 6083270111 8299213751.P54 625

627 (3,11,19,33,57,209) 11287.12471031.8985 6878697433.

.8778523 0274665984 1620465605 8467252273.P47 627

7 Prime Factors 2􀀀

629 (17,37) 4 5470534643 4054795865 2711504761 9453123209.

.2052968152 6516856775 6164047567 3600974472 4710914288 9252157111.P74 629

631 33362801 5107245479.47 4640860193 5348826280 7858068080 7822523991.P131

633 (3,211) 2399291551.1768 9153588009.605 6085068193 8908875991.

.9 9701466660 5920336140 8046051199.P50 633

635 (5,127) 5081.

.836153382 3582668188 1707602454 5780997926 4994038363 5851698961.P89 635

637 (7,13,49,91) 3823.15289.3 1945881241.15392 5026222241.857319204 8327176271.

.60442 7426690160 3399200353.153 4726774059 5130647023 8401460959.P44 637

639 (3,9,71,213) 1279.844 6221056014 8142953097.

.1 3296281315 4693149710 3420134367.28 4353023012 1246149442 0074814087.P39 639

641 35897.49999.1173835097.24012588 9194952668 5926151441.745276300\

7344406062 2638692431 2213175677 9031827973 3485406448 6587296999.P79 641

643 3189281.2 2532429052 6056702250 2639105439 3428833168 2072348024 3\

491509088 1303620353.P117 643

645 (3,5,15,43,129,215) 46441.4175568751.17282 2146157794 4661374351.

.832125 2482200510 3181053031.P37 645

647 3033 0380612930 3896428103.11 5023837629 3195561918 3430785983.P141

649 (11,59) 649001.2 3952086159.344182031 5530043011 1979265857.P130

651 (3,7,21,31,93,217) 1303.11916227 8286643732 8993110351.P79

653 78557207.289837969.160 0852753875 3578495897.

.30449381 2582888918 4039273431.37867071 2318481272 3340717607.P103 653

655 (5,131) 597361.257675452 8566814601.3511 8293697257 0824983481.

.1533 3541100090 8244371295 3348527285 6744656791.P66 655

657 (3,9,73,219) 73*.1 0178663167.2 7265714183.527139 3791658529.

.276219413 4676763431.421859275 5298376314 7431373719.P45 657

659 1319.1152742927 7532648241.626 5649626136 7801266214 6877852049.P144

661 1330270433.337015 9489168519.10091 5784808236 1225065617.

.118420 2872670668 4482020892 6433723871.P116 661

663 (3,13,17,39,51,221) 47737.

.18 1702325379 8585112376 9556216359 1934675981 8823715057.P60 663

665 (5,7,19,35,95,133) 16151 7058694951.P117

667 (23,29) 12007.458897.88039999.246 2707358643 8727137578 9289856617.

.14508653 2629917346 7622566941 1020750337.P98 667

669 (3,223) 1822 2492131785 2297530287.P111

671 (11,61) 116356769.3 3491655209.6411054 7427930873.

.13646560 5945258258 9062718266 8772241639 7028377218 8995937231 7451952089.P78 671

673 581163767.4128 3139633378 6457249306 9448052022 6273492263. C151 673

675 (3,5,9,15,25,27,45,75,135,225) 1605151.

.1 0942700853 9847839039 5590841401.2842 4962631886 4764008979 4561760551.P39 675

677 1943118631.5 3113271713 9346021081.9781 4658398863 7765536217.

.536 2511269192 3843508117 9423115164 2817302190 3300344567.P98 677

679 (7,97) 6791.59753.93703.

.13373517 6409953606 2382592381 4056483166 6602558491 3912478511.P103 679

681 (3,227) 96 2744903648 2081087138 9883223509 0314894033.P94

683 1367. C203 683

685 (5,137) 119191.7084271.836486441 4452451011 1773141111.P123

687 (3,229) 6871.2104809991.1759323 2367951130 4414371921.P98

689 (13,53) 13 5995976143.106 7583682127.

.137261 7429248257 0631796361 1999955284 4862152089.P120 689

691 90 6642603313.1048816003 2325844521.28336377 2442794066 4433391497.

.166362019 4447026726 7182958207.P122 691

693 (3,7,9,11,21,33,63,77,99,231) 289511839.286825 1407519807.P85

695 (5,139) 3452778071.3578189431.225797 7172676377 0850652746 4987314161.

.90158469 2755427378 7228397706 5635416718 9649601351.P64 695

697 (17,41) 16729.P189

699 (3,233) 140 1190779823.19177 6542632834 4646895407.

.23482 4472577729 4833820775 2516264041.P69 699

701 796337.2983457.28812503.107 3825104511.998 3923992673.

.1586 5578195367.4068 6928318417.P140 701

2􀀀 Prime Factors 8

703 (19,37) 3528403 0283053759.129404630 2848776287.1193181267 4076681849.

.167823 6494751136 9346112223 2089506777.

.59588714 5978169063 8334876795 5828416209.P69 703

705 (3,5,15,47,141,235) 1579 2560532367 6378629391.P88

707 (7,101) 126729751.12 8782811543.7005532 7166582644 4242790841.

.3598 1944080307 4126933360 1460682311.

.5190387 2795463977 9626705565 9570047358 4389435543.P54 707

709 216868921.139164622 1255097953.P187

711 (3,9,79,237) 5689.4185 1365145831.8643281089 8454825776 3049805767.

.1957369 0271784800 4082148730 3842797285 3220421889.P48 711

713 (23,31) 68449.3352 0354801957 5991076297. C171 713

715 (5,11,13,55,65,143) 24960219 1565465311.59888785 3030285391.P110

717 (3,239) 40153.12417007.5 8392032593.5500 9358369431.

.1999 8753879082 6996082414 5862208627 4572062511 5339053303.P54 717

719 1439.772207. C208 719

721 (7,103) 1055028 1065119153.P168

723 (3,241) 1447.7480159.1020726 6098347859 5344638863.P109

725 (5,25,29,145) 448477751.2455738005 3526069299 3906074551.

.177 4575401532 7319296335 5393450351.

.330 6918468362 3958683463 2451464681 3146301551.P56 725

727 17606291 7118154340 3793488187 2331611670 7774911664 4530047274 94\

49436575 6223281710 9676226546 6521858927.P122 727

729 (3,9,27,81,243) 80191.97687.379081.

.66 4728004346 5582834487 2438987026 9691211809.P90 729

731 (17,43) 6787279274 9091946529. C183 731

733 69 4653525743.14399 1411488660 7714194196 6959399761.

.13948432 6010012737 8569925386 8326270649.P138 733

735 (3,5,7,15,21,35,49,105,147,245) 41161.4163041.2 0147473081.

.234 0389488711.2765371 0336343911.P51 735

737 (11,67) 4423.1 2148690313.515705015 9173695487.179 0404124193 8148871927.

.1963672 2147295909 2291632378 1834466879.P108 737

739 1846 0305651761 3273120809.48 0506835840 9200438080 5463790111. C168 739

741 (3,13,19,39,57,247) 83352127.26656756 6086138988 4202429169.P95

743 1487.1219280833.1 4904366017.1187 2271546109 2305629361.

.47215254 5540159774 0684262559.C151 743

745 (5,149) P178

747 (3,9,83,249) 32496520 1690131831.P131

749 (7,107) 46439.12 0618551047.2 2744484124 5238451591.

.963 6441960448 2818886935 1734353847.

.41 4341608571 6681490838 6536258566 6486381251 2904964849.P71 749

751 C227 751

753 (3,251) 4519.12049.22 0116640729.18079 7717027593.P117

755 (5,151) 1511.1 5073467791.28662 1334502631.P153

757 9815263.561595591. C213 757

759 (3,11,23,33,69,253) 1633369.46025761.P119

761 4567.6089.738 6864218131 9272892117 1408273447. C189 761

763 (7,109) C195 763

765 (3,5,9,15,17,45,51,85,153,255) 16831.3696481.210993 6092650831.

.2 4710462787 1359437914 7554826892 0478656481.P50 765

767 (13,59) 38351.29720 5245433279.661696 3204951529.63 2958830978 9019577199.

.7564501422 1164602027 8834399577.714106 6253975597 6594426542 8336645929.P87 767

769 1591805393.61235 6662385643 5977170641.P198

771 (3,257) 1543.P151

773 6864241.9461521.1165 6269886648 2379254997 1253972697. C186 773

775 (5,25,31,155) 3064351.2168815801.111 3614148551.P153

777 (3,7,21,37,111,259) 4663.6433561.47 5053534786 1726648681.

.967863966 4867340367 2115546439.P70 777

779 (19,41) 1559.3142487.21726311.10 4003232119.16459769 3569197241.

.2026644379 7456792501 0435751833.

.5390432 5286150873 0639718553 6832378267 2821790531 5243065969.P86 779

781 (11,71) 651 1616671913.6623283795 8133438967.7903473451 7219615663. C158 781

9 Prime Factors 2􀀀

783 (3,9,27,29,87,261) 1567.602 9999570322 7957127159 2229136193.

.1345967414 5229543031 6429691549 0846371433.P77 783

785 (5,157) 5393364481.1357322 5038515437 6731523201.

.2 1677318704 1232481053 6209829271.

.144883 1827359590 2692706536 5536842383 1738768018 2551817911.P67 785

787 995159 7611230279.9651200 8100928793. C204 787

789 (3,263) 560 9685181351.2744 7319533813 4592222791.5856 0853311970 6764820561.

.7480 9384762679 1888666559.20389 2925124070 5004344512 4186439967.P40 789

791 (7,113) 1583.7920714887. C189 791

793 (13,61) 4759.31721.14 5211798447.57 9981948313. C186 793

795 (3,5,15,53,159,265) P126

797 2006858753.5 4573369937.1 0475776286 4135516671.

.7476099 2819082108 6986322983.21023 7113237469 7495642374 7989180911.C139 797

799 (17,47) 2957 1110535825 4050499654 9489605401. C188 799

801 (3,9,89,267) 3344977.1 6960539007.179079 9748670521.

.1387 3241559461 8114488007.2326 9740105040 7561818756 1564812777.P71 801

803 (11,73) 1607.78366377.1384018681.153 3745237729.

.2 7623399983 0244889388 0313142073.P154 803

805 (5,7,23,35,115,161) 1 3816619111. C150 805

807 (3,269) 2771239.502502761.P146

809 C244 809

811 326023. C239 811

813 (3,271) 24391.2248759.36936217.15 2948738791.493 2275680348 5314471713.P111

815 (5,163) C195 815

817 (19,43) 8127 8478804329.15278 9037833826 1467896809.

.503836 7497639229 0568817694 4079261201.C154 817

819 (3,7,9,13,21,39,63,91,117,273) 268100 1528674743.

.2195163 3172714569 7249308031.P89 819

821 419273207.10984 0721427977.28612148 0219517473. C208 821

823 14 6091524843 6556406607.1 5340862004 6368878803 4864584049. C197 823

825 (3,5,11,15,25,33,55,75,165,275) 70294 8566745151.911578 4422509601.

.410 8316654247 2713979049 2285217756 8560929751.P48 825

827 66161.1637241673.1 6564893327 0617137007 2190422631.

.2550 7078230052 3079321201 5514781257.C172 827

829 72953.896542399 5597210483 8901500177.P216

831 (3,277) 1663.3772542223.50 2746492223.66 0284006953.67 9758314119.P118

833 (7,17,49,119) 1482 1647473599.2394594520 7098781352 5435619008 8519028761.

.79 4769178865 8038307962 5443830701 8567389833.

.1624 8173432447 8805088786 7246068133 4430321473.P65 833

835 (5,167) 18144551.4459 6548025921.8190481 7179338908 2617855311.P152

837 (3,9,27,31,93,279) 112731 6245518063.P148

839 26849.13856 1000316919.37780162 6929390823.

.113 9106817226 3519178106 7775764311.P185 839

841 (29) C245 841

843 (3,281) 1390916281.2475486361.P150

845 (5,13,65,169) 4493034001.53928095 6610794617 5499029224 1379839311.P141

847 (7,11,77,121) 422 6278468502 6262370553.P177

849 (3,283) 18679.147727.35371 2117583777.299401 6852827061 8887118001.P121

851 (23,37) 15303 2855329039 1228929969.118629 3891386550 7127049391.P189

853 2065711807.51374 0645819473.47 2799722880 5279065233. C212 853

855 (3,5,9,15,19,45,57,95,171,285) 7 0901826424 0844065111.

.158362232 6189408225 2639892029 1451047671.P72 855

857 6857. C255 857

859 7215601. C252 859

861 (3,7,21,41,123,287) 5167.

.20953 0011998277 6700969225 0090006239 3290897233.P97 861

863 8258911.169382737.17 5642891399. C234 863

865 (5,173) 526769431.P199

867 (3,17,51,289) 5266159.P158

869 (11,79) 361592639.2395 0688185662 6095535121.P203

2􀀀 Prime Factors 10

871 (13,67) 15679.95860519.127082 3795835418 7384010097.

.791926 6933917954 4112729479 5391450663.

.137403482 7268824423 8689557564 5854007713.P127 871

873 (3,9,97,291) 132697.9449353.7969524463.P152

875 (5,7,25,35,125,175) 7 2568848671 8330087751.P160

877 35081.1436527.1 8396997369 6934094902 6772071177. C224 877

879 (3,293) 1759.288313.142891999.4010077111.1 2760970401.

.470395 4662078801.940310 9546027095 1212691599.P98 879

881 26431.P261

883 8831.63577.2587774910 5734892654 6569104663.P228

885 (3,5,15,59,177,295) 27 5678866219 8217256191.P119

887 16173559.1397 1409999562 6040378049.23821542 9731339664 9423300881. C210 887

889 (7,127) 127*.P226

891 (3,9,11,27,33,81,99,297) 1783.124300376 6883412825 9094186647.P132

893 (19,47) 670 5767506519. C237 893

895 (5,179) 21481.691735353 0526492681.789 6197262965 1529859281.

.38017 5443574763 1530887777 4584227996 2515778711.

.16 9606765415 1459074824 2902534363 9757022234 1162468471.P73 895

897 (3,13,23,39,69,299) P160

899 (29,31) 460289.11052163 3444549751. C230 899

901 (17,53) 11 4684958103.50 3398609772 4889062887.P218

903 (3,7,21,43,129,301) 514711.P147

905 (5,181) 121271.1163487911. C203 905

907 1170031.3256645177.13189501 6205024767.P241

909 (3,9,101,303) P181

911 1823.26129303.201 9550489398 4084112178 6425435009.P232

913 (11,83) 3591 3067887863. C233 913

915 (3,5,15,61,183,305) 360511.95 8059518364 6802296669 2945378791.

.8013 9300860147 8316458030 2226587271.P74 915

917 (7,131) 5503.22 9268017217.571 9390844304 0877545241.

.1612 2624916475 1695652113.5734723347 3547780999 6357383167.

.3150916688 5766641436 1106944520 9929619169.

.18344113 1803022762 1304277229 6295217134 1869050463.P57 917

919 3355452 0197234177. C261 919

921 (3,307) 85724839.124071 8764955671.77189 6026621206 8280249289.P137

923 (13,71) 1847.5619297841. C240 923

925 (5,25,37,185) 27281951.867596056 0860123385 3529454601.P181

927 (3,9,103,309) 46351.2033839.2 2229194879.31 2842300671.

.15611326 5782932908 5404515097.165498880 8308408306 5824727273.P96 927

929 13007.34 0388595097. C265 929

931 (7,19,49,133) 14897.67033.476874814 2197177447.P200

933 (3,311) 37321.1 3129750729.188 9994038571 2874682842 0806061841. C140 933

935 (5,11,17,55,85,187) 1871.3706347481. C181 935

937 28111.2419437071. C269 937

939 (3,313) 1879.995114641.14 7859967407. C165 939

941 7529. C280 941

943 (23,41) 9431.39607.21698431.62209711.13832594 1036565103.

.92809 9351629785 5054039457.576444734 5764876700 5697802783.P171 943

945 (3,5,7,9,15,21,27,35,45,63,105,135,189,315)

124339 5210785469 4991430452 1499392241.P95

947 295130657.2 5749931927.462164 6208862937.

.11892 9800765008 6394296212 9100776937.C217 947

949 (13,73) 22777.78341849.42796 0745238703.7 0590008231 2653909721.

.3777 2504515284 2556276329.C189 949

951 (3,317) 241 4596599738 2530356782 6493454039.

.137 8790948509 4277176737 8909490075 7220589207.

.127182 4819271756 0896920728 6766970051 9167079543.P71 951

953 343081.56 2070136841.404 9665049184 2199555367.

.824 5014390266 3780561248 9876810823.C215 953

955 (5,191) 17191.91259801.1645375231.3858889 1859672359 5535405951.P181

11 Prime Factors 2􀀀

957 (3,11,29,33,87,319) 160 9806083534 3359020793 7412531099 4612192903.

.695 8677956790 6400453376 5292671988 8540642214 1822768937.P74 957

959 (7,137) 23017.531287.12959927.1296666 4479880063. C213 959

961 (31) 2806514 1627170974 5866686729. C254 961

963 (3,9,107,321) 14662639. C185 963

965 (5,193) 2184761.204948631.8671 0817849281.448 9405847425 4631045721.P180

967 23209.549257.143849581 8172960049. C263 967

969 (3,17,19,51,57,323) 1 1726744977.54 0538609159.

.781 6101656821 5708061327.432185728 4079046180 0099008661 0965513529.P91 969

971 C293 971

973 (7,139) 23560 7085938200 1284653313.21661765 4150049380 8960173319. C198 973

975 (3,5,13,15,25,39,65,75,195,325) 1951.883772 8285481551.

.261 5596668478 9722885001.16637633 8119230863 5718252801.P76 975

977 867577.1813313.206965537 4719577273.49 8589905807 8884305401 2690078841.C232 977

979 (11,89) 89*.13815649.788357624 8112389199.P237

981 (3,9,109,327) 10341703.499601719.9727892263.1280 1468302061 1040553769.

.8290 2495222044 8931078689 5351990721.

.20637251 4331790653 6511818489 9317542119 0047559657.P65 981

983 180 8226257914 5512099644 7326086641 7929207023.P254

985 (5,197) 70921.7263391.735187759 1853744614 4887630711. C196 985

987 (3,7,21,47,141,329) 958522 8595374769.5125129 2767738434 4303149537.P124

989 (23,43) 31649.36706 2215746913 4976744883 4021945679.

.1844138 9469531722 9655331210 2102187271.P203 989

991 8218291649.4 1473350001.23162 0367206687. C264 991

993 (3,331) 23833.55609.8574913 8718881051 6016046647.

.9217776662 8605721314 7728970951.P133 993

995 (5,199) 14369791.4 1735340671.11 4443156761.

.29495 7894459874 3237863911.323086033 9827177783 5967540631.P157 995

997 C301 997

999 (3,9,27,37,111,333) 7993.473589937.

.61075 0585993378 5339185713 6655113261 3003293697.P138 999

1001 (7,11,13,77,91,143) 6007.6952744 6946369608 5141217909 0394909207. C177 1001

1003 (17,59) 60582 9388649921.16 2923909790 7113911209. C244 1003

1005 (3,5,15,67,201,335) 6862662514 5959029951.

.66 3636889167 4013542795 0279553118 6216903001.P98 1005

1007 (19,53) 37430191.1 8380257872 8708044103. C254 1007

1009 3454817.19 8582684439.2064 9907789079.2162 4641697047.

.308502 5361572359 4284324529.1 1343273024 2159648677 9379019599.C204 1009

1011 (3,337) 39147943.685341 0184776097.P179

1013 6079.7148 6759597273. C288 1013

1015 (5,7,29,35,145,203) 2154593281.P194

1017 (3,9,113,339) 54919.7238634 7544037768 2986327336 3081527460 6848381343.P151

1019 2039.75407. C299 1019

1021 40841.795808241.5173 1968308257. C281 1021

1023 (3,11,31,33,93,341) 10558 6579766713.

.91979 4044753102 8403838976 3276277647.P132 1023

1025 (5,25,41,205) 6151.2252951.2721217151.13 3011858206 1732221401.

.124775213 3230211573 8661504201.519724 4882237713 5135790667 4152638351.C137 1025

1027 (13,79) 45259 9156086559.175602 3510194524 5417825001.

.675454 5578783992 6022098207.C216 1027

1029 (3,7,21,49,147,343) 7*.689 6727944023.271481915 7586383751.

.32 7416244212 9276091367.

.587892 0553871871 2912709849 5531809815 6844648537.P78 1029

1031 2063.435502649. C299 1031

1033 196271.36913223.8 8910338973 3594340767 7603811907 4340716281. C258 1033

1035 (3,5,9,15,23,45,69,115,207,345) 19616702 1419193231 2938871595 0912065791.

.6474639 3220655982 1122945033 2075244511 8306897013 9360141681.P65 1035

1037 (17,61) C289 1037

1039 5080711. C307 1039

1041 (3,347) 247 6999110472 8312891937.P186

1043 (7,149) 2087.100129.3256247.7346919119. C243 1043

2􀀀 Prime Factors 12

1045 (5,11,19,55,95,209) 6271. C214 1045

1047 (3,349) 1 8063321433.P200

1049 33569.459463.105909998 0653317121.P288

1051 3575503. C310 1051

1053 (3,9,13,27,39,81,117,351) 44207047.242 9581373896 5169951447.P166

1055 (5,211) 2111.2925755 4834707791. C233 1055

1057 (7,151) 5318798633.11 7801297041.66 4541876884 2321985721.P229

1059 (3,353) 1 8861552481. C202 1059

1061 C320 1061

1063 1485761479.P311

1065 (3,5,15,71,213,355) 1 4139262262 8081757986 0256620479 3985440361.

.625220050 5559391265 6608346117 3027704189 3919359311.P80 1065

1067 (11,97) 4884727.328 0567900383 1689475103. C260 1067

1069 1748172 7674576239. C306 1069

1071 (3,7,9,17,21,51,63,119,153,357) 10711.861229657.5 2877551231.

.9 1005071977.58807340 0712446782 9187484937.

.204 4333418084 6916399175 6356117218 0103378559.P69 1071

1073 (29,37) 441 9721397972 7234355841. C281 1073

1075 (5,25,43,215) 4718966201.P244

1077 (3,359) 247711.1 3759551679.P200

1079 (13,83) 41 7042099631.110454717 3371974879.123494449 5181377943.

.112 5214508184 5795021017 4975426777.C217 1079

1081 (23,47) 47*.3137063.275605 9353782849.1 2484328526 0356168563 0837661279.C251 1081

1083 (3,19,57,361) 1 4107651849. C196 1083

1085 (5,7,31,35,155,217) 217001.553351.10 5254261561.31 9268480441.P184

1087 10722169.214 4921195591.3399025 0708335239.210548587 9475562449.

.421733524 8431907802 4938826183 9156579767.C235 1087

1089 (3,9,11,33,99,121,363) 14 1641296831.2730604 6411338223. C172 1089

1091 87281.551978359.79134 3585595817.97535 1303646536 7353542211 3471207017.C265 1091

1093 43721.111487.425658 8016870335 7316051447. C294 1093

1095 (3,5,15,73,219,365) 702595801. C165 1095

1097 980719.4666639.2292 6719175799.17344 9276533866 1710171833.

.360795842 3792741151 1333522577.205 2959738986 2002952827 2537868263.P220 1097

1099 (7,157) 1 1302318217.28 6171304984 2080440375 6708531447.P240

1101 (3,367) 79273.2 5897774435 6523549983.8835330903 6087372390 3538281367.P165

1103 2207.41261 1027559871 4647074087.P305

1105 (5,13,17,65,85,221) 7555991.11581202 4214750631. C208 1105

1107 (3,9,27,41,123,369) 76 7519549132 6802969559.4728 9700600620 2784083089.P172

1109 3096 3501968569.8560896598 2066833903. C301 1109

1111 (11,101) 4578 9213675927 0759480793. C278 1111

1113 (3,7,21,53,159,371) 15583.51199.2363 0263903949 1667304683 0675466863.P146

1115 (5,223) C268 1115

1117 53617. C332 1117

1119 (3,373) 2239.20143.154565233.1100558881.P199

1121 (19,59) 8969.P311

1123 77728843 5261989969. C321 1123

1125 (3,5,9,15,25,45,75,125,225,375) 213751.1502 1258003313 8336342001. C153 1125

1127 (7,23,49,161) C279 1127

1129 33871.833798113. C327 1129

1131 (3,13,29,39,87,377) C203 1131

1133 (11,103) 2923 7863091999.497 8572634732 3441303511.

.2468805 3501907609 9297993521 6750635087.C235 1133

1135 (5,227) 1 3283923860 2148428191.45030314 1878528372 5652516551. C225 1135

1137 (3,379) 328909853 1153894127. C209 1137

1139 (17,67) 138959. C313 1139

1141 (7,163) 301230847.1 6742221609.1449 3503199673.62800 7894034529.

.1 3138042269 7420095809.8759 3809018275 4292028329.

.106 0141230288 2966472211 1227465753.P170 1141

1143 (3,9,127,381) 518814559.1003420916 4734137046 9161844713.P190

1145 (5,229) 4946401.199439 0009987387 7258890807 7106387241. C233 1145

13 Prime Factors 2􀀀

1147 (31,37) 100937.92452690 2536493341 3947751633.

.1418071209 2102984421 0677840999.C263 1147

1149 (3,383) 265155238 1122661167.12 9172545158 2048356963 3735619111. C181 1149

1151 28 4278475807.813448 9876388726 0484533897.6586221 0725474511 2979229913.C283 1151

1153 267497.8 4755607199. C331 1153

1155 (3,5,7,11,15,21,33,35,55,77,105,165,231,385) 2311.6250631311.

.49 4224324441.P120 1155

1157 (13,89) 167512 5010930879.55192 6781483447 7438497153.

.88355 3889809869 5059049137.154720 7812137844 2801745561.C228 1157

1159 (19,61) 185441.5 6256385753. C309 1159

1161 (3,9,27,43,129,387) 6967.5979151.6049 9150497847. C204 1161

1163 84 8181715001.3 3709730057 0078978047. C318 1163

1165 (5,233) C280 1165

1167 (3,389) 604591287 7373534611 6971161647. C205 1167

1169 (7,167) 514361.6020351.7322617.893 2786385279.P268

1171 15 3606920351. C342 1171

1173 (3,17,23,51,69,391) 428417137.1822858 0446571609.40390678 2348344599.

.5158 7873717864 9880676177.C146 1173

1175 (5,25,47,235) 1000943131 6533167951.10 9488380431 1836270751. C237 1175

1177 (11,107) 3775817.5960329. C306 1177

1179 (3,9,131,393) 28297. C231 1179

1181 4742897.1968341 6867010662 5096599487.

.199 6689110544 6691479119 0422986407.C291 1181

1183 (7,13,91,169) 28393.4665596 9015605951. C261 1183

1185 (3,5,15,79,237,395) 11 5150116391.2179265 2855138681.P161

1187 256393.113603023.1761 5331179656 9621262632 5049982897. C311 1187

1189 (29,41) 600619 5478204556 0713559063 9621491727. C302 1189

1191 (3,397) 2744 0463593147 5033688839.107126 1308516214 1902489577. C190 1191

1193 121687. C355 1193

1195 (5,239) 270071.10602041.150885481.50286269 2004168161.

.492568752 5543853241.C230 1195

1197 (3,7,9,19,21,57,63,133,171,399) C196 1197

1199 (11,109) 2399.174181129. C314 1199

2+(odd)

Factorizations of 2n + 1; n odd, n < 1200

n Prime Factors

1 3

3 (1) 3*

5 (1) 11

7 (1) 43

9 (1,3) 3*.19

11 (1) 683

13 (1) 2731

15 (1,3,5) 331

17 (1) 43691

19 (1) 174763

21 (1,3,7) 5419

23 (1) 2796203

25 (1,5) 251.4051

27 (1,3,9) 3*.87211

29 (1) 59.3033169

31 (1) 715827883

33 (1,3,11) 67.20857

35 (1,5,7) 281.86171

37 (1) 1777.25781083

39 (1,3,13) 22366891

41 (1) 83.8831418697

43 (1) 293 2031007403

45 (1,3,5,9,15) 18837001

47 (1) 283.16 5768537521

49 (1,7) 436 3953127297

51 (1,3,17) 307.2857.6529

53 (1) 107.2805 9810762433

55 (1,5,11) 11*.2971.48912491

57 (1,3,19) 571.160465489

59 (1) 2833.37171.1824726041

61 (1) 76861433 6404564651

63 (1,3,7,9,21) 7 7158673929

65 (1,5,13) 131.409891.7623851

67 (1) 7327657.671 3103182899

69 (1,3,23) 139.16 8749965921

71 (1) 56409643.1395 2598148481

73 (1) 1753.179591803 8741070627

75 (1,3,5,15,25) 113 3836730401

77 (1,7,11) 617.78233.3 5532364099

79 (1) 2014 8763660243 8195784363

81 (1,3,9,27) 3*.163.135433.272010961

83 (1) 499.1163.2657.155377.1 3455809771

85 (1,5,17) 2683142303 6065352611

87 (1,3,29) 9607679 1871613611

89 (1) 179.62020897.1858477 4046020617

91 (1,7,13) 224771.1210483.2 5829691707

93 (1,3,31) 529510939.2903110321

95 (1,5,19) 2281.301134747 9614249131

97 (1) 971.1553.31817.110087601 8364883721

99 (1,3,9,11,33) 5347.24209 9935645987

101 (1) 8451004001 5215293433 1135470251

14

15 Prime Factors 2+(odd)

103 (1) 41 5141630193.814276708 1771726171

105 (1,3,5,7,15,21,35) 211.664441.1564921

107 (1) 643.841157474 4904788148 8635567801

109 (1) 104124649.20777 5684736234 8863128179

111 (1,3,37) 3331.17539.10777 5231312019

113 (1) 227.48817.636190001.49100336 9344660409

115 (1,5,23) 691.1884103651.34576 7385170491

117 (1,3,9,13,39) 53 0230622637 0307681801

119 (1,7,17) 823679683.1 4316255316 5560959297

121 (1,11) 117371.110541845 8279780045 5736061107

123 (1,3,41) 739.165313.1319431 7913029593

125 (1,5,25) 229668251.55 1948541833 6288303251

127 (1) 56713727 8201564105 7722910123 8628035243

129 (1,3,43) 1033.1591582393.1568 6603697451

131 (1) 1049.4744297.1823311286 8120778178 4391813611

133 (1,7,19) 4523.1067882904 4384829528 4382097033

135 (1,3,5,9,15,27,45) 811.15121.38583 8642647891

137 (1) 1097.15619.3212796 3626435681.10549821 2027592977

139 (1) 4506937.51542 6395246617 9530007417 4250365699

141 (1,3,47) 1681003.3 5273039401.11 1349165273

143 (1,11,13) 2003.6156182033.1 0425285443.1550 0487753323

145 (1,5,29) 7553921.9998028 5472471530 0883845411

147 (1,3,7,21,49) 748819.2603288584 5392093851

149 (1) 1193.650833.38369587.79845595 7350425985 6359124657

151 (1) 1871 7738334417.50 8340508241 0077967730 6460621499

153 (1,3,9,17,51) 123931.2 6159806891.2743 9122228481

155 (1,5,31) 11161.594760 3221397891.2912605 6043168521

157 (1) 15073.2350291.1775178 3757817897.9683329919 8971305921

159 (1,3,53) 6043.44751303 6651810208 4427698737

161 (1,7,23) 8103467492 7597923271 4980036156 4410265219

163 (1) 1 1281292593.102339 8150341859.3375 7054705039 0415041769

165 (1,3,5,11,15,33,55) 415365721.225212 7523412251

167 (1) 6235740319 2785191176 6905528625 6140883865 3121833643

169 (1,13) 492991076 4223610387.185262386 4601108673 2742614043

171 (1,3,9,19,57) 19*.19 1774583879 4026811634 9766612211

173 (1) 347.4153.3 5374479827.4 7635010587.16434 6424772818 9221623609

175 (1,5,7,25,35) 1051.110251.34 7833278451.3401003 2331525251

177 (1,3,59) 13099.445 3762543897.189868549 6465999273

179 (1) 5 8745093521.434 7868190665 8793734959 5056277570 7707143803

181 (1) 1811.31675363.1781 0163630112 6245793428 1173397808 5990447907

183 (1,3,61) 1772303 9943798878 2976979507 7302561451

185 (1,5,37) 1481.28136651.778 4293653978 8760854061 8330873281

187 (1,11,17) 219116582 5376888084 7501577164 2457906201 5865776131

189 (1,3,7,9,21,27,63) 379.119827.12 7391413339.5620 2143607667

191 (1) 10461836 2256444679 3972631570 5346110693 5039257407 7339085483

193 (1) 6563.35679139.1871670769.745509 9975844049.12 8076133738 8845898643

195 (1,3,5,13,15,39,65) 107251.5714 0392112607 6957182161

197 (1) 19 7002597249.134895935 2853811313.2519515738 6725301225 9144010843

199 (1) 2678230073 7649837925 6993682056 8604337537 0049896379 8805883563

201 (1,3,67) 2011.9649.6324667.591515 4911853267 6874448563

203 (1,7,29) 596834617.3692022713.252 7158146155 6596241868 8965855731

205 (1,5,41) 212582056 3389437533 3902438938 3459784675 7304863651

207 (1,3,9,23,69) 6113142872 4042278348 4044389824 1613032969

209 (1,11,19) 419.34 1062328465 4639440707.1 6077920187 8039402409 5514317003

211 (1) 4643.9878177.5344743097.19 9061567251.22 4811275125 7517586423 4185190299

213 (1,3,71) 5113.17467.102241.2035255457 6630130693 3226271929

215 (1,5,43) 9084611.5990 4608378705 6613774301 8260871169 8924130721

217 (1,7,31) 16233337.14050860 8590164280 2259342330 9886684274 5808905947

219 (1,3,73) 907019 7542196643.32782446 9015622243 4135906137

221 (1,13,17) 443.471 4692062809.450 7513575406 4465158454 0145836674 1487526913

223 (1) 21 9256122131.204934 9592090504 3950407650 4509181712 6031830315 4708405513

2+(odd) Prime Factors 16

225 (1,3,5,9,15,25,45,75) 4714696801.2819414 7295371017 7758647201

227 (1) 297371.345463157 9714210387.P44

229 (1) 18754643.P62

231 (1,3,7,11,21,33,77) 14323.P32

233 (1) 467.27961.P63

235 (1,5,47) 32 8006342451.46179790 7949997211.P27

237 (1,3,79) 647011.13664473.P35

239 (1) 340337.326051 4298370422 1670173899.P41

241 (1) 2411.1 0411181203.1505982 8108442641.P43

243 (1,3,9,27,81) 3*.1459.139483.1042940743 1911334611.9 1812505160 2568899753

245 (1,5,7,35,49) 491.1516286875 8218274451.P29

247 (1,13,19) 207481.10049443.355011619.P45

249 (1,3,83) 920 2419446683.P37

251 (1) 238451.P70

253 (1,11,23) 4049.85009.31797547.8 1776791273.P40

255 (1,3,5,15,17,51,85) 12241.41856 2986357561.5136614945 5494753931

257 (1) 3723 9639534523.5 1814415660 2508243009.P43

259 (1,7,37) 1 4562355969 0431904173 8812533139.P36

261 (1,3,9,29,87) 523.6929826139.345341290 1832690553.3356385645 0515702761

263 (1) 1579.92051.2926111 4397558193.P55

265 (1,5,53) 5937 8367896686 3030035641.P40

267 (1,3,89) 3739.4273.P46

269 (1) 4242 5591579618 7428893811.P57

271 (1) 1627.11541796 6565804897.46 3526001587 3357770993.P40

273 (1,3,7,13,21,39,91) 547.10 5310750819.P30

275 (1,5,11,25,55) P61

277 (1) 2579 2643401363.P70

279 (1,3,9,31,93) 26227.11 9232435043.8538 4915399027.64443 6537614061 1199022187

281 (1) 563.5203536083.P72

283 (1) 1699.62827.2486265371.6753 5788803713.P54

285 (1,3,5,15,19,57,95) 1101811.P38

287 (1,7,41) 1723.8441323 8703660609.433679083 1080504259.P34

289 (1,17) 72251.79187.1077971.1836 0250452977.19776680 3208315851.P36

291 (1,3,97) 25609.563696 3037465601.58154660 6903256979.9969550342 7255026561

293 (1) 587.26371.33403.13453 8907795406 3294533189 2129844577.P42

295 (1,5,59) P71

297 (1,3,9,11,27,33,99) 23761.694387.621 5074747201.P32

299 (1,13,23) 2393.83449 0119087067.P62

301 (1,7,43) 43*.P75

303 (1,3,101) 112102729.P53

305 (1,5,61) 331841.3134755923 2075126851.P48

307 (1) 1249678499.431 5199443523.2 1070882506 3558235331.P50

309 (1,3,103) 619.2473.15451.89620507.240 0744384937.9827 7023988499.

.6854585 2036177507 309

311 (1) 64067.P89

313 (1) P94

315 (1,3,5,7,9,15,21,35,45,63,105) 1765891.P38

317 (1) 326330579.49198112 2308467411.P69

319 (1,11,29) 12 1333341977.16952351 4238420211.259255 1649443838 2632167017.P31

321 (1,3,107) 154723.2 0636399209.4806 2571001539 4052365153.P25

323 (1,17,19) 1779583090 8608814443.32 1158605463 9813621611.

.63 1995764203 3539607139.20652 5587851947 5622261353 323

325 (1,5,13,25,65) 3251.5840251.781 2610577851.986094 2209386451.P34

327 (1,3,109) 666427.6927735019.P50

329 (1,7,47) 659.76239 4321774681.P66

331 (1) 5297.2983001129.7520796641.85306742 5084227471 7434530683.P49

333 (1,3,9,37,111) 304363.985 3387597819.3103132 0083857011.P31

335 (1,5,67) 93131.P75

337 (1) 21569.5333388961.96409 4242760707.P72

339 (1,3,113) 156619.28448881.P55

341 (1,11,31) 647219.1434929.3736 8615235403.P65

17 Prime Factors 2+(odd)

343 (1,7,49) 2513690593.288358003 0222424891.P61

345 (1,3,5,15,23,69,115) P53

347 (1) P104

349 (1) 131282633.P97

351 (1,3,9,13,27,39,117) 42477 1330322455 2237738169.P41

353 (1) 3803909 5720787468 3729509405 1706948091.P70

355 (1,5,71) 1552463 5883992211.P69

357 (1,3,7,17,21,51,119) 428401.P53

359 (1) 3536450843.111067 1633637523.1 9419397456 3158088483.P63

361 (1,19) 687 4301617534 8275093505 7576845435 6245025403.P61

363 (1,3,11,33,121) 2179.1948 8182484739.P50

365 (1,5,73) 581874971.498 3860557465 3477927323 1850742131.P46

367 (1) 2203.19819.14626 4881313513.2083706288 5084633147.

.460 2336168618 5206616518 0033789571.P37 367

369 (1,3,9,41,123) 18451.174907.2630 9368807003.P50

371 (1,7,53) 1835194 5672220987.104718 4633680244 0580575859.

.903389 0180249079 3533882683.P27 371

373 (1) 60427.69457949 7316894264 4256612436 5980637197 2188318857.P60

375 (1,3,5,15,25,75,125) 2251.199 6377842904 6466946251.P35

377 (1,13,29) 13454377.P95

379 (1) 1501 2732261073.7280409237 2182169758 6308784409.P71

381 (1,3,127) 3049.3825718 4231365987.P56

383 (1) 13517 1073178598 1752792617.56091 2281791431 3723820539.P66

385 (1,5,7,11,35,55,77) 219980531.4 3629892114 2286134032 0935785851.P34

387 (1,3,9,43,129) 1090536789 6894030236 4939183451.P47

389 (1) 107 4456464321.136937 9108017267.274209 4407638203.P75

391 (1,17,23) 2347.1578859.194902553.29143833 4156037699.

.2911194824 8642861801.P52 391

393 (1,3,131) 787.7237 4970654455 4305500305 7643920459.P42

395 (1,5,79) 5531.1415681.P85

397 (1) 13499.321571.476401.17414009.P97

399 (1,3,7,19,21,57,133) 63841.113556903 2520567138 0495907537.P33

401 (1) 1 8885983617.31786416 0671793549 6778334833.

.2 4789994689 9800130782 7521737357 2023257787.P43 401

403 (1,13,31) 6449.18539.576759899.15363 3897920257.P78

405 (1,3,5,9,15,27,45,81,135) 6481.9721.74967931.2437880491.

.44 8217524891.1036 0573664851.196954 3281137041 405

407 (1,11,37) 15467.2248206137.2533006 7076999169.

.42897 6890554496 3658268464 0379732099.P44 407

409 (1) 1765960294 5091540865 2219208387.

.1879 1937710720 5753057607 2158896678 9412396307.P51 409

411 (1,3,137) 7663507.2017223347.2707079449.P57

413 (1,7,59) 827.17073597 4773267443.P85

415 (1,5,83) 116201.134396921.P86

417 (1,3,139) 441187.1694689.392856 1315258466 4719123806 6992041449.P36

419 (1) 5867.5485604 8933689096 0473978059.P96

421 (1) 4211.3298307 6027612611.P107

423 (1,3,9,47,141) 85693033.659 6828416459.P63

425 (1,5,17,25,85) 91362251.504 6718903451.P76

427 (1,7,61) 5 7461778571.1340 2353088548 1150604420 5739394787.P65

429 (1,3,11,13,33,39,143) 859.8 3403577371 3963728978 6276330761.P39

431 (1) 180 7447391779.3745 2571239931.P104

433 (1) 2837017.P124

435 (1,3,5,15,29,87,145) 7060051.23476081.24578371.P46

437 (1,19,23) 7867.66821445 2631436913.3 1592975812 5865060721.

.1 9059768154 2627360573 3466333451.P47 437

439 (1) 3740281.5612260289.7 8527789689.

.6563213024 2813789128 6402051371 7469284499.P65 439

441 (1,3,7,9,21,49,63,147) 883.3529.22051.311347.

.19961876 5653083859 9012839257.P33 441

2+(odd) Prime Factors 18

443 (1) 48731.489333371.203682 9768181123.

.20336956 7047358792 5972308539 5687118626 7775970073.P57 443

445 (1,5,89) 7121.13 1865932411.408 5315514961 2675915761.P69

447 (1,3,149) 1 9687929049.P79

449 (1) 194867.4332851.1792 9395314182 3358107657.P100

451 (1,11,41) 20747.21737299.216 8435713049.P97

453 (1,3,151) 907.70089067.566722821 5161742851.13 0221683238 5373385027.P40

455 (1,5,7,13,35,65,91) 131041.1185685411.3953 7592800161.17152 5190684121.P45

457 (1) 688535756 0205319573 0606338968 0091844825 4904729193.P89

459 (1,3,9,17,27,51,153) 3673.98227.3320491 7536003441.57240473 5191016891.P44

461 (1) 99577.110641.477 6428166707.10890 2775905377.

.1017228 5871610222 1859893264 2491638987.P66 461

463 (1) 235675 9188941953.768 3496620985 8049526107.

.88119 3079252690 4110741840 4833666787.P66 463

465 (1,3,5,15,31,93,155) 26041.316201.364831561.P54

467 (1) 33702457.4 8919673417.951637 5589637513.13311632 7626495251.

.7593 5500395270 1949854003.27 3123909618 2403838452 9619828691.P34 467

469 (1,7,67) 40 8335956841.3 6231242731 7443674457.

.762077649 5688579527 5897986139.P59 469

471 (1,3,157) 290137.3125517399 3464476009.1 1779176005 9111382841.

.2070 8015468421 8888000497.P26 471

473 (1,11,43) 947.8116681.430461 3491867393.

.2 3193267908 3345584849 4271717419.P71 473

475 (1,5,19,25,95) 31453933 9112375003 9342489201.

.23 3525313154 1260692882 3082635851.P50 475

477 (1,3,9,53,159) P94

479 (1) 3833.38321.72417021 9181001433 2930493433.

.54657255 0482866774 8803316085 1148008819.P70 479

481 (1,13,37) 1484463163.116082946 1657347000 2183237558 3736205537.P83

483 (1,3,7,21,23,69,161) 2456410505 4101666518 8014626987.P50

485 (1,5,97) 1123834 4415062964 4421472433 2427263086 8644399851.P70

487 (1) 2270205511 5491393903 9124941009.P117

489 (1,3,163) 2840113.P92

491 (1) 153959 5189603332 2050978817.

.3563269486 9776511547 5906202095 0904488457.P83 491

493 (1,17,29) 4931.244529.408071 1563727942 9392714717 6542113833.P91

495 (1,3,5,9,11,15,33,45,55,99,165) P73

497 (1,7,71) 14 5915152433.521352656 8247671787.

.8705752 0608031578 1320008699 9866476019.P60 497

499 (1) 163673.825347.61176403.11924257 9295015787 4662150001.

.15 7558558752 4885013687 3911146842 4415849956 5933913187.P53 499

501 (1,3,167) 304609.223318747.113 4974373913.P75

503 (1) 20497 4474626356 8646584566 1759083859 0741501232 9005298331.P97

505 (1,5,101) 8081.223211.690 9226326451.4639 3668925691.

.14513081 4068214641.102569874 0064276331.7 2767995659 5455269121.P29 505

507 (1,3,13,39,169) 1003 0854869257.496630024 8405749059.P63

509 (1) 1019.1171 1759955199 3893463748 6085538049.P117

511 (1,7,73) 3191707.10435643.4452388694 2460772001.

.22310 8638472250 1814286178 3673497419.P63 511

513 (1,3,9,19,27,57,171) 144667.1465129.P87

515 (1,5,103) 48111 1547919147 7176958235 4405627641.

.1925631 5368273983 4275094545 1754630611.P53 515

517 (1,11,47) 220243.8 0765938529.63515210 1298808699.

.419418789 3609755408 2013916913.1 3988771339 9075018153 2404877513.P46 517

519 (1,3,173) 7348400530 7733779892 8914412909 2395161857.P64

521 (1) 501203.44 3418473521.9 0268296000 1896498686 7810255277 5904610963.P99

523 (1) 36667531.83207209.129175771.1 1694270587.5 8052548129.

.6280226 6052329939.P96 523

525 (1,3,5,7,15,21,25,35,75,105,175) 3205651.24 7772800801.

.722359 1273619001.12926671 1542799251.23 1014122231 2973778401 525

527 (1,17,31) 3163.4217.57818964 8968825099.P120

19 Prime Factors 2+(odd)

529 (1,23) 17987.6190092443.863 3301049969.P126

531 (1,3,9,59,177) 470656 0382366302 6660218883.P80

533 (1,13,41) 354979.11171 9734852571.P126

535 (1,5,107) 205441.101 5502191705 7853331411.

.43 1458267304 9504096186 7363407954 5142558161.P59 535

537 (1,3,179) 13963.54408841.1700184749 3570697053 0240356699.P67

539 (1,7,11,49,77) 12460603.3110026909 2898119731.P100

541 (1) 86561.59199467.396588707.51 2917469041.30111 8908380643.

.841 6367433669 8854450433.901912542 7422507476 6209510322 4539896393.P54 541

543 (1,3,181) 3259.P105

545 (1,5,109) 1091.8619 2661003172 8629577011.P104

547 (1) 153 3926272849.115148954 5548740064 9824422273.P124

549 (1,3,9,61,183) 2146261699.3729 1324871089.16596 3031279777.P72

551 (1,19,29) 304153.400280563.P138

553 (1,7,79) P142

555 (1,3,5,15,37,111,185) 1 6975554121.2293 3014202051.3891439271 4281976571.P44

557 (1) 4457.124769.P159

559 (1,13,43) 32 6667346721.1255 3986510209.10111952 6079159121.

.164 0422918232 1439707977.337154 7628302580 3700130451.

.6374677 6853588265 4780280209.P36 559

561 (1,3,11,17,33,51,187) 1123.314161.15 3356423089.

.2 0561864752 7006690058 3885539731.P47 561

563 (1) 52211408 5011580241.749 0692419407 6922022321.P129

565 (1,5,113) 19211.P131

567 (1,3,7,9,21,27,63,81,189) 56 2873504411.474 4655685883.P74

569 (1) 10243.223439473.205801 7388830521.

.82079370 0834095033 5985340006 3460572205 9739038841.P96 569

571 (1) 9137.7 3205584889.964 0632099001.90 7948623160 2709376885 3899468313.P112

573 (1,3,191) 8437952161.106 3307289553.39052789 7582929297.

.294893623 0551432174 4929966859.P47 573

575 (1,5,23,25,115) 21851.270332801.1567238401.2299609001.

.1480777681 9440781028 6646636543 7148576514 8925580001.P52 575

577 (1) 75011.2796392419.1956469940 9833266851.P140

579 (1,3,193) 60217.92641.1036411.3497161.769643857.

.3 1370568307 2406514521.1870305 3251338140 3767944747.P38 579

581 (1,7,83) 18593.219619.5258 8634980729.P125

583 (1,11,53) 17491.339307.2611841.4929150778 8508089522 6946001921.P111

585 (1,3,5,9,13,15,39,45,65,117,195) 1171.65521.2 6959262851.

.437255525 3234330347 7113703251.P40 585

587 (1) 2769467.1311977076 5051463547.5 8304599029 5828143461 74509784\

80 5811323612 5910218633 1890293830 6546239131.P80 587

589 (1,19,31) 95419.59512561.20 8431792655 9146687910 5346889451 2489769379.P109

591 (1,3,197) 858840889 7489780521.20 5402154473 4875175323.

.171 7420766135 8066885721 2300403179.P46 591

593 (1) 1187.6243 8341552073.69757296 1277548351 7844546731.P134

595 (1,5,7,17,35,85,119) 208702 2330866411.6 9221828089 7365325531.

.1656091 4356165296 2744166091.P54 595

597 (1,3,199) 515354 3358319177.

.161672 1141393989 4823514477 4006666392 3511303121.P59 597

599 (1) 366994123.P172

601 (1) 929342429 4571360217.P162

603 (1,3,9,67,201) 1460467.533471689.44 8427389805 5819958731.P83

605 (1,5,11,55,121) 11*.7157266213 7576998831 0557612811.P102

607 (1) 115331.20 2769117249.1678086932 6776069043.

.16 2294942212 9340362249.1 9567836751 7306258415 5810896697.P96 607

609 (1,3,7,21,29,87,203) 160 2776802691.1753144 8231309625 1408712577.

.173964560 9824008224 2545082771.P35 609

611 (1,13,47) 82154 6524439369.367533168 3377539444 8156716611.

.389 5479947009 8707550322 7548229025 5237164363 0493051193.P71 611

613 (1) 6288254243 9656284776 3602356101 5424303471 2327123864 6163429\

271 4267317577.P115 613

2+(odd) Prime Factors 20

615 (1,3,5,15,41,123,205) P97

617 (1) 4937.254 9322536147.

.275 0740332203 0377199658 6651044091 7146582337 6047109547.P117 617

619 (1) 1 2573881599 1080426576 3446600825 2782563180 1224969766 1907431\

303 0346298113 1174086460 1663325811.P96 619

621 (1,3,9,23,27,69,207) 31051.25069771.115 9185064537.552109 4269128307.

.1 8554155309 1188485307.551281550 1609772761 7011127633.P31 621

623 (1,7,89) 59809.333929.390863971.P141

625 (1,5,25,125) 61932403 5675566251.2329 8341126492 3603130001.

.983 2621662709 1356287799 3411320001.P77 625

627 (1,3,11,19,33,57,209) 52 7119237980 0221868753 4164008761.

.97816902 8529917659 4906831708 4025791019.P39 627

629 (1,17,37) 1259.2998322233.3 1438035163.161 4575158577.33519 9740796521.P124

631 (1) 8309009.2530111867.4882057097.8318853450 9828089497.

.187 1572341734 8972017502 6708502754 1506881240 3108132161.P92 631

633 (1,3,211) 312 6092185651 4644012890 3576490694 7922212259.P85

635 (1,5,127) 85091.431801.141512291.P134

637 (1,7,13,49,91) 225499.

.48658 5358967104 4882475767 9951992943 3474885874 8304194627.P92 637

639 (1,3,9,71,213) 6977 9014917427.89709484 2396430102 4591994817.P85

641 (1) 1283.32051.139739.353833.1078163.

.738198438 2315474972 6309925820 3143560636 9577820813 5055585507.P110 641

643 (1) 108175 6861144651.P179

645 (1,3,5,15,43,129,215) 1291.P98

647 (1) 4570409.9021769.93 2184694939. C169 647

649 (1,11,59) 72689.580 4125093339.8 5103070830 4492139579.

.2489588 3322731461 8649866043.

.20 2562054896 4486290862 3959429128 3005510511 2948209849.P59 649

651 (1,3,7,21,31,93,217) 392624346 9330528571.P90

653 (1) 1307.1 2550478467.7396293982 1546198686 3452049897. C154 653

655 (1,5,131) 104801.4235167121.529001871 0085175364 8745461411.

.17208429 5846396957 2139456919 1520766721.P77 655

657 (1,3,9,73,219) 6571.1754336807 1267913387.

.2297469978 2180646194 9873523193.P78 657

659 (1) 67219.284689. C188 659

661 (1) 206233.4611137.1433 0525250739.366407 0988387756 9115302731. C148 661

663 (1,3,13,17,39,51,221) 8401537.100 1115859537.6123 1726987393.

.1139440 4518417567 7416498327 1590070953.P47 663

665 (1,5,7,19,35,95,133) 7482637214 2978943808 4581826972 8205334531.P91

667 (1,23,29) 2784059.25276633.7 7954721883. C161 667

669 (1,3,223) 247531.43 4030154636 2831119363.P107

671 (1,11,61) 4027.48313.150238243. C165 671

673 (1) 1330725593.406 1132942857.P181

675 (1,3,5,9,15,25,27,45,75,135,225) 377204851.57 8348287651.

.1 2627431611 6265155801.6355 5888202891 2657106651.P45 675

677 (1) 2920579.6190489.464344418 9241244139.

.569759 9730308896 2411797462 4560195467.

.222155488 7922930388 1641434232 4245378243.P98 677

679 (1,7,97) 4837 2050082931.486 1364755896 5025358622 7318540449.

.20926 3101129304 3814171857 9491487452 7112788657.P83 679

681 (1,3,227) 4419691.4010501617.

.21087284 6643006600 8721288692 5064153234 6790007334 3968942243.P63 681

683 (1) 1676083.2 6955961001.P189

685 (1,5,137) 920641.472748641.22633 8814638851.

.2365647 7881255230 0459414801.

.1316624887 2913462314 4415287942 6128691804 1120435881.P60 685

687 (1,3,229) 77 9704994617.1 6881360305 8115744761.

.815148 6864670450 7393379787.P80 687

689 (1,13,53) 175083169.1 6181916011. C170 689

691 (1) 4668478921.963375828 4523287289.54566469 3183178636 7242204139.

.53568019 1297395026 2324347623 3360296971.P114 691

21 Prime Factors 2+(odd)

693 (1,3,7,9,11,21,33,63,77,99,231) P109

695 (1,5,139) 323414081.244471 9759493201.

.5504854563 3636680923 8043881239 6758392800 6647872401.P93 695

697 (1,17,41) 107339.246739.234292369. C175 697

699 (1,3,233) 9551137.373746913.5359075 2072775417.P108

701 (1) P211

703 (1,19,37) 151849.9621259.9137976433.P174

705 (1,3,5,15,47,141,235) 29611.2708611.305 9396467891.683070 5352239611.

.4218 0315565990 6892289931.6672 9542646570 6396181651.P24 705

707 (1,7,101) 1463491.1 6729032587.P165

709 (1) 340321.504558 6197318561. C192 709

711 (1,3,9,79,237) 711001.377460 6664682589 5604238713 8512734907.

.2784647 3132777515 4128598057 3724799363.P64 711

713 (1,23,31) 1427.1993292747.2281 6032820817.

.1012570175 7622655276 8717949102 4662141651.P135 713

715 (1,5,11,13,55,65,143) 519091.17 6510711521.16685004 4395914881.

.6918033 8847103804 0964238491 6290854761.P74 715

717 (1,3,239) 542487937.46 3307610283 7130131059.

.2171 9294766013 5214231281 5916826025 5839743617.P70 717

719 (1) 34513.3138112889.4900402 1019632699 1818036113 0213343099. C166 719

721 (1,7,103) 8248287587. C175 721

723 (1,3,241) 4339.153500131.5957570611.1342321 5628953313.

.9854248896 2492304565 7501064259.P77 723

725 (1,5,25,29,145) 1451.37293 3190718801.494 6110376200 4289880601.

.1161 7226716583 5167280913 6367089201.

.1576 4220531866 2155775185 7821413401.P62 725

727 (1) 11633.520684724 4211914451 1578580563.

.59803 9967692416 5054507436 1210286131.P151 727

729 (1,3,9,27,81,243) 3*.227862073.311 0690934667.

.2168 9251325248 9863991753.11020 9916107596 4924744009.P78 729

731 (1,17,43) 1531693423 1051174801.

.1 5797542906 1284119310 8992398119 8031035849.P144 731

733 (1) 39648532 4677401403.60321002 1469084665 5623731769. C175 733

735 (1,3,5,7,15,21,35,49,105,147,245) 5881.P98

737 (1,11,67) 355635 5492892313. C184 737

739 (1) 33407751 1117879213 0230681288 2603339179.P185

741 (1,3,13,19,39,57,247) 1483.19267.P123

743 (1) 22291.4343579.6562222067.P203

745 (1,5,149) 2639421761.211385 4074762921.8022 5605531720 2422034838 9258622531.

.51383124 5433313985 1139441197 0333527291.P83 745

747 (1,3,9,83,249) 354854881.3049576 5703115017.

.2 9004089048 7518370827 7501475595 7683255977.P83 747

749 (1,7,107) 1499. C189 749

751 (1) 274867. C221 751

753 (1,3,251) 1307209.1 0212446539.9 5741909371.P124

755 (1,5,151) 54361.28992001.33673001.20476 4382884291.P147

757 (1) 417817067.P219

759 (1,3,11,23,33,69,253) 10627.4036363.442 6119162421 7967508561.

.837308 5998359158 6460452561.P74 759

761 (1) 1523.148577828 8798957523.3288826787 7547582651.

.591336 1964964505 8522941873.C162 761

763 (1,7,109) 1795 8105295747.7 4709079304 7295291603.P162

765 (1,3,5,9,15,17,45,51,85,153,255) 1531.6121.

.33141 8332048281 4219670615 0379164851.P75 765

767 (1,13,59) 10739.42953.1103294219.

.6 6213049032 0398954426 5753007379 8459769131.P152 767

769 (1) 36913.77836643.86369467.940 1836358059.6 0214177287 5227166401.P177

771 (1,3,257) 831139.1 5853011980 1167697937.

.10414 6006567817 3436164039 6674583500 9927452310 7429396640 0432773827.P65 771

2+(odd) Prime Factors 22

773 (1) 533371.232063162 2007839640 4383777135 5342619283.

.17376 3974263925 4060437861 5213444643 8169582980 2369522859.2 32063\

16220 0783964043 8377713553 4261928387 0461866110 7966214343 4527093563.P102

775 (1,5,25,31,155) 4651.28 2519050251. C166 775

777 (1,3,7,21,37,111,259) P130

779 (1,19,41) 384827. C212 779

781 (1,11,71) P211

783 (1,3,9,27,29,87,261) 1 2745935523.

.44 3677006741 1056146721 3850972770 2937674624 9130734567 8065875601.P80 783

785 (1,5,157) 1571.25121.6412853401.P171

787 (1) 942827.54053693 6099617873 8798259049.

.44773 8411301927 9914803913 6997839721.C169 787

789 (1,3,263) 2559 4406272338 6721566481.P135

791 (1,7,113) 5 4112378027. C192 791

793 (1,13,61) 50753.286428 5210191809 4655832541 2679485917 0149406203.P167

795 (1,3,5,15,53,159,265) 8088331.381199321.10781499 9632867521.

.7 4648508328 7310097651.P72 795

797 (1) 875107.1056706494 3347324310 7529297593. C205 797

799 (1,17,47) 119851.1699 3492187603.81 7785261598 6685170165 4313293617. C172 799

801 (1,3,9,89,267) 264331.34 4129122172 3107683457.

.36045 1236527568 5408664824 5551969409.P98 801

803 (1,11,73) 11243.2148631 4512550902 8597735617.P187

805 (1,5,7,23,35,115,161) 3303598 1768945891. C143 805

807 (1,3,269) 11299.3 6934519241 7701052571.

.18 6303427023 1582655719 9328264881.466 0470246272 2448021107 6768171369.P73 807

809 (1) 1619.14563.19417.601897.3959 5205804249.P213

811 (1) 710292 7740195899.7626530492 4973882264 8895115723. C198 811

813 (1,3,271) 450403.8 8760231089.89718651 6077633497.

.111705854 2027740397 3061107961 3870737888 9597893071 4757404139.P71 813

815 (1,5,163) 6521.11411.148331.P183

817 (1,19,43) 1 5840460057.P218

819 (1,3,7,9,13,21,39,63,91,117,273) 11467.13503673.P119

821 (1) 6569.10378663 2191157616 9081957409.P216

823 (1) 316033.1361 5553872073. C229 823

825 (1,3,5,11,15,25,33,55,75,165,275) 1 0006979401.

.659666841 9738471802 7476767451.P82 825

827 (1) C249 827

829 (1) 131147801.31 5406949339 7876555121.2751 0961908692 8694988181 6932924433.

.7446182219 4443848397 3964572596 1979800147.P147 829

831 (1,3,277) 97103 4308087215 8664398414 9247966467 6774419087 7182055\

801 1275780034 6489383481.P92 831

833 (1,7,17,49,119) 1667. C200 833

835 (1,5,167) P201

837 (1,3,9,27,31,93,279) 2584 5192277364 8099179883.P140

839 (1) 13770623 7237112689 5706481139.P225

841 (1,29) 114377.249 2918387059.26 0420754632 1714056580 4312036553.P196

843 (1,3,281) 28383811.731 7767583121.

.116512122 0595973490 0282727898 3561616575 7454893337.P101 843

845 (1,5,13,65,169) 6761.103091.108161.367 0823346804 1380780858 2241279931.C142 845

847 (1,7,11,77,121) 593590 4348495138 3441635753. C173 847

849 (1,3,283) 6793.

.1252478787 4674354369 2481610705 9959926666 9771131677 4071921529.P107 849

851 (1,23,37) 542939.1298528378 0501700403. C214 851

853 (1) 2465171.715 5452470451.1434382 6193517763. C221 853

855 (1,3,5,9,15,19,45,57,95,171,285) 6841.198098371.

.232 4138957258 5939528171.1175622349 6731894524 2451174930 2390882321.P57 855

857 (1) 252182368 3601252891 8089819907 3630970779. C220 857

859 (1) 4045891.267946153.7 2068132891. C233 859

861 (1,3,7,21,41,123,287) 10388827.2 0958338017.7 8390786811.

.44 2336463314 2650480377.113068 3183801822 0372427161.

.32215 3272098354 4180695988 9495947251.P35 861

23 Prime Factors 2+(odd)

863 (1) 53 5070645969.1761771969 3732711808 4628312251.

.605471 4103782225 7475394975 1873375051.C183 863

865 (1,5,173) 29923811.603 1375205570 1307811411. C178 865

867 (1,3,17,51,289) 67901521 5511191577.59 1395038231 6342222561.P125

869 (1,11,79) 15643.27809.140779. C222 869

871 (1,13,67) 9168220907.20 8597663875 5288150171.576 0449988051 8482364227.C185 871

873 (1,3,9,97,291) 1747.22699.92144632 0166308603.

.4353509 6250286053 3102854399 0653601637 8722423696 4302573321.P92 873

875 (1,5,7,25,35,125,175) 558251.10022251. C168 875

877 (1) 29819.4235 5831233323.18 9691791362 7664517210 0272388219.

.5493451945 3108657523 4909029971 6764102827.C175 877

879 (1,3,293) 42193.P172

881 (1) 22907.58147.70481.149771.42295049. C238 881

883 (1) 21193.294923.467517108 9162696937.P237

885 (1,3,5,15,59,177,295) 516266521.87 3791632531.235 4488203481.P107

887 (1) 5323.260741 1387302489.11 8667786561 3380869048 9654291350 1309901939.C207 887

889 (1,7,127) 19901 5479740190 7244590074 6812468273. C194 889

891 (1,3,9,11,27,33,81,99,297) 7129.35 2246478761.62061 7419930817.

.14090333 1387825310 9224688819.2365526241 0102963030 6294196057.P76 891

893 (1,19,47) 1787. C247 893

895 (1,5,179) 14321.121721.14556 0017652641.1043055 7104202241.

.507046310 6922154841.16784344 5087730786 1649130441.

.298 3602691084 9144367944 9696455011.P97 895

897 (1,3,13,23,39,69,299) 21529.258337.6635453 0124557299.

.3173548499 1529375057.84 3764924538 5270023387.P91 897

899 (1,29,31) 21577.6994 8188740643.12780249 3095470979.

.575087 6078708904 3634696391 0799123377.P182 899

901 (1,17,53) 105108859.P243

903 (1,3,7,21,43,129,301) 5757529.7243867.

.378717 3766734872 6709726629 1431316313.P103 903

905 (1,5,181) 12 7002291721. C206 905

907 (1) 81569 0878143277 5187914049.292 6949273865 7669549749 8001026561.P216

909 (1,3,9,101,303) 9091.1 1312395373 6745874552 8018455717 6229738187.

.756 6725580973 1248208147 6315648327 6883350707.P94 909

911 (1) 830833.346637323.P260

913 (1,11,83) 238905 9505456889. C232 913

915 (1,3,5,15,61,183,305) 19895761.3015049441.28884 2216366491.

.68207639 7349635633 6137221345 6131836731.P76 915

917 (1,7,131) P235

919 (1) 14968673.2014093267.431770434 1862180531.

.1852454 8929928583 4957735107.P215 919

921 (1,3,307) 24365977.3 1992843313. C167 921

923 (1,13,71) C254 923

925 (1,5,25,37,185) C217 925

927 (1,3,9,103,309) 6 1339736467.39512 5276559977.113 7273214438 4815780057.P137

929 (1) 8243947.370 6175321483.38959 3452245969.48962 4750530873.

.1521188051 7062219326 0551601681.8082 3081657485 2707228222 8058900817.P168 929

931 (1,7,19,49,133) 5684313601.42050291 8802525203.

.5714479757 8125846064 7919827630 0869021129.C161 931

933 (1,3,311) 1867.121291. C179 933

935 (1,5,11,17,55,85,187) 7481.22441.192611.4942411.96162881.P165

937 (1) 1431737.20795779.40172939.196107588 5814321323.

.2007 8288538991 4176986808 2345131291.P209 937

939 (1,3,313) 3 5534561977.2 4929852463 0962527080 4406373331.P148

941 (1) 1738969.506215 5107501579.10 5333601626 1649316809.P240

943 (1,23,41) 148 4493554507.285 5450113608 9979495033.

.1112321273 7055374231 5881007760 2360080577.C192 943

945 (1,3,5,7,9,15,21,27,35,45,63,105,135,189,315) 69931.

.535 0270740873 4986203593 6711342201.P93 945

947 (1) 7577.13259.9 1254170041.21 2341461377.8 8120629000 8086216099.

.230 1648546180 6757328483.C212 947

2+(odd) Prime Factors 24

949 (1,13,73) 182209.4 2598203337. C245 949

951 (1,3,317) 1480727923. C182 951

953 (1) 1907.42 5796183929.1624700 2794788943 8559877965 5842584377.

.3802306 7385494413 2443213909 1271828121.

.12 8064886830 1666714448 0257612911 5872060027.C158 953

955 (1,5,191) 276603 7497160081. C214 955

957 (1,3,11,29,33,87,319) 246907.2398243.14 3241922561.

.310692509 9920735897.P128 957

959 (1,7,137) 1726201.1459025 0979416323.2944685412 1733451929.P204

961 (1,31) 1 2787096753.8457 4094077694 3899258211.

.223405 1064751291 5642585947.C221 961

963 (1,3,9,107,321) 315614841 3859611691.P174

965 (1,5,193) 1931.30881.37420771.5 7252188728 1927268815 6683843001.P186

967 (1) 440953. C285 967

969 (1,3,17,19,51,57,323) 1932620113. C164 969

971 (1) 495211.301996 7621847401.7457 9777362500 2825025979.

.249 1229639091 3846106385 9592251764 9613788649.P205 971

973 (1,7,139) 15569.490393.173 8265567571 6231563653 4086604757 8896250851.P198

975 (1,3,5,13,15,25,39,65,75,195,325) 38626387 9315103401.

.1366767780 8819301503 7036862018 4321770343 3450089157 2775415001.P68 975

977 (1) 7817.728843.7128193.952471604 8809932689.P259

979 (1,11,89) 39161.585443. C255 979

981 (1,3,9,109,327) 17659.295188787.9676 1365841467. C169 981

983 (1) 880060241.669 2446515577.450533013 8768309778 9972114796 5761959561.C236 983

985 (1,5,197) 1512961.4213 6857550241.25910146 7678452891.

.121200860 6838635171.5 0041324686 9794048734 6607403971.P151 985

987 (1,3,7,21,47,141,329) 513512 3689810129.515 4800594447 7448439636\

1980298330 5243869440 1533964821 9950040453 5444787331.P78 987

989 (1,23,43) 1979.49451.14407753.19744 3880998681. C249 989

991 (1) 3060209.5819153.31 2289504052 7689387017. C264 991

993 (1,3,331) 1987.25819.7 5904445347. C181 993

995 (1,5,199) P239

997 (1) 614153.27557081. C287 997

999 (1,3,9,27,37,111,333) 23977.5814899281.9 7377658867.

.2 4194770787 3451279499.P150 999

1001 (1,7,11,13,77,91,143) 66067. C212 1001

1003 (1,17,59) 21014857.P273

1005 (1,3,5,15,67,201,335) 14908171.P152

1007 (1,19,53) 169177. C277 1007

1009 (1) 962587.3986502327 5343572161.9950 3550177156 3154298401 6422092411.C244 1009

1011 (1,3,337) 37760873 1632477282 3582837216 9734753939. C165 1011

1013 (1) 2027.1428494 2415590523.20 2203379146 6488360947.P264

1015 (1,5,7,29,35,145,203) 6091.316681.395851.4936961.

.118310908 1162192341 4755021087 2300654121.

.13414 8838212903 4569899071 6477137981 6790203241.P99 1015

1017 (1,3,9,113,339) 146449.457651.2887640788 5213594067. C173 1017

1019 (1) 313097213 4342573797 2332358633. C278 1019

1021 (1) 10211.18379.441073.6314 5268487193.21164 2910583695 4764874673.

.6950602802 3563619678 7387625147.C225 1021

1023 (1,3,11,31,33,93,341) 6679688731.

.809412655 9730787970 8460403908 7771314939.P132 1023

1025 (1,5,25,41,205) 4036451.142958801.124359 5348645401.

.2 6815123266 6704881059 2666965226 6381711401.C171 1025

1027 (1,13,79) 6163.16433.14983931.23908561.41 9502198233.

.65001 9848845206 3592176409.C223 1027

1029 (1,3,7,21,49,147,343) 8233.3689243 7056956699.

.1 7008283446 3067409204 0186897803 1815852569.P117 1029

1031 (1) 79445908 0231178477 1135014606 6567930257.P272

1033 (1) 2465 1922299337. C298 1033

1035 (1,3,5,9,15,23,45,69,115,207,345) 21 1104810001.

.6971 7454323743 0742710277 7670820910 4594944911 4019397091.P94 1035

25 Prime Factors 2+(odd)

1037 (1,17,61) 2 3889800393.61 5240811219. C267 1037

1039 (1) 155851.76264284 7088874611.15029 3020197239 9146277968 5090903481.P256

1041 (1,3,347) 2083.14865481.77910 2442743098 6498793899. C174 1041

1043 (1,7,149) 17747689. C261 1043

1045 (1,5,11,19,55,95,209) 661333546 7116613731.2165473496 1841342681.

.3 0283060129 9346947201.P158 1045

1047 (1,3,349) 2 4474001921.P200

1049 (1) 2099.177 9522099931.2413275664 1778030091. C281 1049

1051 (1) 2601 5176530521.23 4166918021 1812982298 4892341113 7491270809. C262 1051

1053 (1,3,9,13,27,39,81,117,351) 1016 6476786129.9396171 1110587347.P166

1055 (1,5,211) 101281. C249 1055

1057 (1,7,151) C272 1057

1059 (1,3,353) 3286329043.11759 8477011619.

.83787479 6108785109 5647896563 0065403939.P151 1059

1061 (1) 342873632 5987808713.P301

1063 (1) 11 4584129081.262104885 1811832316 4267329859. C281 1063

1065 (1,3,5,15,71,213,355) 2131.675310507 2024926404 4979244321.

.1 6052588807 9920212258 8437482458 0419144567 0399750291.P87 1065

1067 (1,11,97) 8537.2570 5142292017.4 2823468278 8982633446 4447699353. C242 1067

1069 (1) 7681945177. C312 1069

1071 (1,3,7,9,17,21,51,63,119,153,357) 6427.17137.119953.1340000929.

.4969716475 2429114523.

.107882519 1548640568 1434078411 7374246049 3739682993.P84 1071

1073 (1,29,37) 34149299.723 1794763528 0240063695 3428399129.P264

1075 (1,5,25,43,215) 6451.32251. C245 1075

1077 (1,3,359) 2 5742490619.6 1965231619.4897190990 7332782346 5690986241.P165

1079 (1,13,83) 110059.28 0664183205 9217497692 0728908193. C260 1079

1081 (1,23,47) 139910 0926820497.17 2944404909 4495656521.P269

1083 (1,3,19,57,361) 206283 5090323897.P191

1085 (1,5,7,31,35,155,217) C217 1085

1087 (1) 12 1398914459.5901504614 2680340633.1 4428805393 8906556201. C276 1087

1089 (1,3,9,11,33,99,121,363) 2779129.P193

1091 (1) 41 7676772832 2304092689. C307 1091

1093 (1) 306041.149076457.P315

1095 (1,3,5,15,73,219,365) 3241201.5665531.1005823201.2437 5654323161.

.7558575883 4018224531.

.83 9528735475 4937404878 7480932338 8746794701 4370925681.P66 1095

1097 (1) 1237417.993889 9271706737 9719706367 6220796827. C288 1097

1099 (1,7,157) 11661543 9604018153.7192 4691072021 1929911689. C242 1099

1101 (1,3,367) 28627. C217 1101

1103 (1) 227219.2035422 2567550187.2353105 5927158473.

.17 2634405376 5465479516 2809143644 5763552227.C253 1103

1105 (1,5,13,17,65,85,221) 44201. C227 1105

1107 (1,3,9,27,41,123,369) 36 9560523547. C206 1107

1109 (1) 314468041.449 8094107721.1147071 9176395975 1382208987. C287 1109

1111 (1,11,101) 151206 1925484570 7358936819.

.359 8469760756 3086300749 8752386627.P244 1111

1113 (1,3,7,21,53,159,371) 90972169.740060681 7397019353. C161 1113

1115 (1,5,223) 38255 7003061241. C253 1115

1117 (1) 7053306 3399945787.P319

1119 (1,3,373) 326208643.3015550 6036528513. C200 1119

1121 (1,19,59) 2243.6088599401.5814209 8448088409.

.3590716 4026858234 2735956401.P258 1121

1123 (1) C338 1123

1125 (1,3,5,9,15,25,45,75,125,225,375) 9001.11251.13 0147868251.

.210449 6060760001.1 9114918482 2837112790 9236272251.

.199393 3870783443 3467107535 7457256575 7274335261 0488782001.P61 1125

1127 (1,7,23,49,161) 773678 6575986931. C263 1127

1129 (1) 5297035427. C330 1129

1131 (1,3,13,29,39,87,377) 6131839320 6415264609.

.86212 9909267689 2324232743 5267276546 3729913497.C138 1131

2+(odd) Prime Factors 26

1133 (1,11,103) 2267.12945659. C297 1133

1135 (1,5,227) 7025651.685467361.1046622091.61566 9475808407 5792273361. C223 1135

1137 (1,3,379) C228 1137

1139 (1,17,67) 19509095 4822051707. C301 1139

1141 (1,7,163) 18257.30187 0128784337.120089 3348906161.

.72252614 6028558523.170606135 3929846091 3312913761.P213 1141

1143 (1,3,9,127,381) 2576323.206 1165716371.

.9403580 9272892889 5307269283 1494040201.C172 1143

1145 (1,5,229) 40622 5165149481.735630322 5632068242 1346570851.

.3762 2703972445 7716564082 6633613851.P198 1145

1147 (1,31,37) 305771849. C317 1147

1149 (1,3,383) P231

1151 (1) 9209.264731.718 3639052011.80 5708908416 3503088491. C302 1151

1153 (1) 27673.377 2896236651.18152 2173837889 8021554747. C306 1153

1155 (1,3,5,7,11,15,21,33,35,55,77,105,165,231,385) 9241.18481.

.11357 1560808091.

.9282 6785914504 8237228203 4390640603 8423584116 7452667731.P69 1155

1157 (1,13,89) C319 1157

1159 (1,19,61) 117466969. C318 1159

1161 (1,3,9,27,43,129,387) 277 9191397441. C216 1161

1163 (1) 59301371.1053 4255862017.116 8777403325 1901173729 2886104457. C297 1163

1165 (1,5,233) 179411.9813961. C268 1165

1167 (1,3,389) 9337.9748 4277202003.459 0859278731 9236096963.

.9366227322 8326604483 4451024147.C164 1167

1169 (1,7,167) 2339.37409.161323.146083 5167157280 7850092203.

.84141600 7270558505 3393085689.C234 1169

1171 (1) 25763.84313.P343

1173 (1,3,17,23,51,69,391) 236947.647674297.408049453 9544536849. C180 1173

1175 (1,5,25,47,235) 185651. C272 1175

1177 (1,11,107) 4950407 8597120643.1664197271 5642472724 1892848411. C274 1177

1179 (1,3,9,131,393) 25939.82531. C226 1179

1181 (1) 49603.59051.11403737.6 7685946763.

.9186599509 8827272622 7976086237 9532536049.P288 1181

1183 (1,7,13,91,169) 182 5653342995 5747955939. C260 1183

1185 (1,3,5,15,79,237,395) 2371.1885937 7449506801.P169

1187 (1) 6265 2393706472 8884681163. C334 1187

1189 (1,29,41) 28537.306763.975874 4379744403.P312

1191 (1,3,397) 1819849.43247593.6 4339323043.42 7329609001.

.668 0956469612 0553953329.C180 1191

1193 (1) 324497.613 2176836553. C341 1193

1195 (1,5,239) 184087361. C279 1195

1197 (1,3,7,9,19,21,57,63,133,171,399) 778051.1697347.P183

1199 (1,11,109) 44725255 9596639611.2 9825741563 8476586139.

.7 9414490749 4779140961.1996742 1766156212 7504717865 3063503969.P230 1199

2LM

Factorizations of 2n + 1; n = 4k 􀀀 2; n<2400

n Prime Factors

2 5

6 (2) 13

10L (2) 5*

M 41

14L 113

M (2) 29

18L (6) 37

M (2) 109

22L (2) 397

M 2113

26L (2) 1613

M 53.157

30L (6,10M) 61

M (2,10L) 1321

34L 137.953

M (2) 26317

38L (2) 229.457

M 525313

42L (2,14M) 14449

M (6,14L) 1429

46L 277.30269

M (2) 1013.1657

50L (10M) 101.8101

M (2,10L) 5*.268501

54L (2,18M) 246241

M (6,18L) 279073

58L (2) 107367629

M 536903681

62L 5581.384773

M (2) 8681.49477

66L (6,22M) 312709

M (2,22L) 4327489

70L (2,10L,14M) 47392381

M (10M,14L) 7416361

74L (2) 149.184481113

M 593.231769777

78L (6,26M) 13*.313.1249

M (2,26L) 3121.21841

82L 181549.12112549

M (2) 10169.43249589

86L (2) 175 9217765581

M 173.101653.500177

90L (2,10L,18M,30M) 181.54001

M (6,10M,18L,30L) 29247661

94L 14073 7471578113

M (2) 3761.7484047069

98L (14L) 498 1857697937

M (2,14M) 197.1 9707683773

102L (2,34M) 409.3061.13669

M (6,34L) 1326700741

27

2LM Prime Factors 28

106L (2) 180143 9824104653

M 15358129.586477649

110L (10M,22M) 41 5878438361

M (2,10L,22L) 363 0105520141

114L (6,38M) 131101.160969

M (2,38L) 27 5415303169

118L (2) 1181.3541.157649.174877

M 5521693.10 4399276341

122L (2) 733.1709.36 8140581013

M 3456749.66 7055378149

126L (6,14L,18L,42M) 11 8750098349

M (2,14M,18M,42L) 4 0388473189

130L (10M,26M) 10814 0989558681

M (2,10L,26L) 521.51481.34110701

134L (2) 269.42875177.2559066073

M 15152453.973 9278030221

138L (2,46M) 7033 4392823809

M (6,46L) 541 5624023749

142L 4999465853.47 2287102421

M (2) 569.148587949.5585522857

146L 94 4473296560 1851473921

M (2) 293.9929.64930 1712182209

150L (2,10L,30M,50M) 63901.13334701

M (6,10M,30L,50L) 1201.1182468601

154L (2,14M,22L) 869467061.3019242689

M (14L,22M) 8317.7609 6559910757

158L 6044 6290980621 5075725313

M (2) 317.3 8136461186 6507317969

162L (6,18L,54M) 3618757.4977454861

M (2,18M,54L) 106979941.168410989

166L (2) 13063537.14806719 7374074653

M 997.4 6202197673.20 9957719973

170L (2,10L,34M) 1021.4421.550801.23650061

M (10M,34L) 722690435 2843746841

174L (6,58M) 2217021 4192500421

M (2,58L) 349.29581.2 7920807689

178L 1069.5790 1779199499 9956106149

M (2) 1237940 0392854506 4364330189

182L (2,14M,26L) 1093.1093.886108 5190774909

M (14L,26M) 4733.55633852 5912325157

186L (2,62M) 461154528 3086450689

M (6,62L) 373.95108 8215727633

190L (10M,38M) 761.241692362 0660807201

M (2,10L,38L) 54721.27669663 1250953741

194L 389.4657.4959325597.1763 7260034881

M (2) 3881.5821.3555339061.39 4563864677

198L (2,18M,22L,66M) 42373.1597 5607282273

M (6,18L,22M,66L) 235621.846 3901912489

202L (2) 9491060093.5342503736 3873248657

M 809.521 8735279937.60050 3817460697

206L 41201.520379897.47300015 7711296729

M (2) 17325013.1170 7009745765 6623005977

210L (6,10M,14L,30L,42M,70M) 104181 5865690181

M (2,10L,14M,30M,42L,70L) 421.14 6919792181

214L (2) 857.378668090 6166005726 4219253397

M 843589.817 4912477117.2352 8569104401

218L (2) 7432 3515777853.174651885 2140345553

M 5669.666184021.1 7185764601 2809566969

222L (6,74M) 14 5303029800 1690873541

M (2,74L) 3109.1398316729.4345052821

29 Prime Factors 2LM

226L 10384 5937170696 5511294580 4582584321

M (2) 58309.2362153.150 7911621390 1326178369

230L (2,10L,46M) 461.5981.3 5900691276 5190408181

M (10M,46L) 15096281.1021622741.7834788541

234L (2,18M,26L,78M) 7489.37024440 5487013669

M (6,18L,26M,78L) 21061.348661.111 2388285061

238L (14L,34L) 2381.42841.823481.53629 6539263941

M (2,14M,34M) 9521.182928 9898415691 6156396101

242L (22M) 3389.91961.40369 6258401080 7014809213

M (2,22L) 1339 2725398336 6838695892 0468400193

246L (2,82M) 802333429.602704 3735173469

M (6,82L) 2953.1 2596597697 6392564317

250L (2,10L,50M) 5*.28001.96001.9429186693 2171243501

M (10M,50L) 7001.3775501.4797013360 3445383501

254L 509.26417.140385293.901 3356691791 3517709497

M (2) 18797.72118729.279 2688414613.898 8357880501

258L (6,86M) 59516 3196629668 5834686149

M (2,86L) 17029.46957.9675877 1543686753

262L (2) 642811237.2745098189.3 0854469540 9769427309

M 269665073.81 0791440841.1245075181 5271172041

266L (2,14M,38L) 1597.4493293862 9223253525 0647435097

M (14L,38M) 2129.12684 8469231149.67925 3585011429

270L (6,10M,18L,30L,54M,90M) 541.49681.16504 1853060421

M (2,10L,18M,30M,54L,90L) 30241.16624293 5471754241

274L 189061.921525 7079118405 8739061733 0886362701

M (2) 16843 4085820849.2068756 7010495774 4917147613

278L (2) 1408349.1 5736774913.49 2717674609.1276 3660054721

M 557.1251163891 2999676358 6027250922 9764287909

282L (2,94M) 1129.1768141.54865357.18 0846660913

M (6,94L) 5641.2700 9726848416 7653999069

286L (22M,26M) 958673.6615213493 5110533966 8937661297

M (2,22L,26L) 25741.3426853.9467173.417016557 0896115649

290L (10M,58M) 168781.120045415 0195481108 5302214141

M (2,10L,58L) 17401.24 4716883381.390209519 2430070721

294L (2,14M,42L,98M) 540961.4054485969 3521152369

M (6,14L,42M,98L) 170594 1050473832 3992180849

298L (2) 1 2961064789.11011 8089519717 4591531324 2336927641

M 1789.1464 1916303149.272433866 0239558843 7243602121

302L 285449 5385411919 7621164963 8103526435 8442074113

M (2) 43 7368927017 6379261201.1305 3032390189 9210670077

306L (6,18L,34L,102M) 2582029.4260133.1245872 3489217613

M (2,18M,34M,102L) 613.318194713.23849519 7879143209

310L (2,10L,62M) 37201.87421.52597081.2486589969 3834809641

M (10M,62L) 8973817381.578058 2874569275 8010628581

314L (2) 2790467761.594103 5366826969.22 0394203343 9148343973

M 18268770 4666362864 7754612085 5244518477 1578920961

318L (6,106M) 207973.300074 5925439318 1618012897

M (2,106L) 10177.79718620 0486710330 3293462593

322L (14L,46L) 3221.169373.209160253.270 3702811844 8801270021

M (2,14M,46M) 1933.298817.11 5927640417.1 7935157473 6387915177

326L (2) 653.9781.7807049.4826612561.97161 3420158567 9932947173

M 1169201309 8647223345 6294834974 3354261576 4159168513

330L (2,10L,22L,30M,66M,110M) 661.3301.8581.1212 7627350301

M (6,10M,22M,30L,66L,110L) 39 1249826881.1337 9250952981

334L 1 8707220957 8355573530 0716392448 7111268189 2570202113

M (2) 75005713.2739532 5377910797.182082 6078119015 6536114609

338L (26M) 677.61594 6323850313.2156563293 8289155092 0192462661

M (2,26L) 180201997.125 9036730797.4089468 7672970399 2293841657

342L (2,18M,38L,114M) 4598533.414356 0637122783 5355919073

M (6,18L,38M,114L) 25309.5675149.39291697.9946 3730244517

2LM Prime Factors 30

346L (2) 1 3625405957.17 5739665310 5057529688 7774035031 3227534889

M 715 2893721041.1673815085 1865747003 2217423206 9942181681

350L (10M,14L,50L,70M) 701.2430 0659246935 1719855032 2751963101

M (2,10L,14M,50M,70L) 1038213 7934478419 4090829335 5871461401

354L (6,118M) 709.12037.29952400 8711790907 8735942093

M (2,118L) 31153.5397793.94789873.2084785 8316750657

358L (2) 31815461.4 1611501383 0990336221.115757 0933663659 5278866333

M 1301260549.58885 0381287433 0282790841 1047440018 1861465037

362L (2) 9413.17892 5762979037.383053 8323149121.9501637613 5553173181

M 2873 9737348957.10 6646454159 1577895336 8533937767 9881781493

366L (6,122M) 5080081.420 9508589941.1912555 6519918081

M (2,122L) 1283 6737570021.4141 9495873379 6530899181

370L (10M,74M) 1392776941.496416 6554103541.125871072 5115650761

M (2,10L,74L) 29246281.567471221.42998818 3417207835 0686174001

374L (2,22L,34M) 2 6509131221.3515507 7044989397.40 2929206562 9191839853

M (22M,34L) 5237.551353793.181 9762572673.1353 2204591711 8601273437

378L (2,14M,18M,42L,54L,126M) 757.4563764310 5362633947 3533320957

M (6,14L,18L,42M,54M,126L) 304 8327561958 6522928480 7891468769

382L 25212001.5972216269.2 0844252715 3792520909 3848500344 7004944677

M (2) 3821.8961 8875387061.1833085153 8426654426 5228323416 5143433597

386L 773.6 3528368960 3233836449.25564 7743603632 1274038224 7547878573

M (2) 3089.148997.1440203064 4704405877.3787913000 2708963567 7652285973

390L (2,10L,26L,30M,78M,130M) 2341.723447661.892527 8993793241

M (6,10M,26M,30L,78L,130L) 468781.7204 5377242751 8446437641

394L (2) 4729.1079423677.15 2874915601.51480 3697091705 0130439411 8553664009

M 52009.38621 6338580579 8697201354 7951946615 1272644136 4448411929

398L 797.10081167 1534441046 1444141839 6101802392 2317850375 1442552629

M (2) 7655 4648784441.209907 3106303095 0253038854 6087971791 8033130293

402L (6,134M) 3217.192961.214473433.7 1848008781.17 5132692529

M (2,134L) 10453.132661.15 7049009596 5129377427 0521395753

406L (2,14M,58L) 29*.2847408367 6894571496 7262803488 9135424066 1831606009

M (14L,58M) 981 0958633253.21597468 5494939586 6490250433 1670645757

410L (2,10L,82M) 6121 3422340181.76401 5570526610 7026640534 0180269721

M (10M,82L) 41*.821.269896441.8277772 0757144341.75839980 1407611361

414L (6,18L,46L,138M) 829.853669.2 6785337149.4 9681708110 9150685921

M (2,18M,46M,138L) 3313.18217.318781.6542857.2539538214 1805460457

418L (22M,38M) 885 7714771093.306629041 1598855013.272 9081289312 0485231161

M (2,22L,38L) 6689.2039731321.14983275 0683283097.19373 8524141656 4065603093

422L (2) 95110361.69204 0084811035 9047653995 0576249413 6748583495 4585997077

M 1845 5044087121.1 7832572488 6188112393 5734764584 8296525678 2477560753

426L (2,142M) 266677.1396429.18369973.4 0524027877.2011 1008087273

M (6,142L) 853.189997.2646 1853284868 5412969316 9911139349

430L (10M,86M) 129001.113183 2377932535 1241891247 8798890586 0893840561

M (2,10L,86L) 370661.1952201.4538991421.26012 5854015641.140134 5270171101

434L (14L,62L) 8679 8856474727 4927163124 8681278986 5797648931 3137639569

M (2,14M,62M) 31249.7767 2966850700 5203702993.1393355 4603291368 1584758997

438L (2,146M) 877.1013533.70 4710824913.1424 0686876552 5436670617

M (6,146L) 37 1335727233.18 4786091137 1012202355 0126425157

442L (2,26L,34M) 667091492 5963435577.2380142106 5091222001 2734588581 9001687213

M (26M,34L) 1210509821.229 1059412513.1118498 4408988805 6206295917 7194663477

446L 95768689.5201643 5676012089.270 5981985587 5271918527 5232579507 6108854553

M (2) 11597.6530333.691201046 4887165201.P37

450L (6,10M,18L,30L,50L,90M,150M) 41315 0254353901.31 9226150421 6112476901

M (2,10L,18M,30M,50M,90L,150L) 695701.30711 6398490301.626998 9892198401

454L (2) 45657954 1250072512 8240734773.P40

M 5449.83132849.694512857.5661492593.P39

458L (2) 2749.5523481.8 4948746297.621 1454306149.P35

M 602633653.3 3074236421.441 8552078989 4155033573.P27

462L (6,14L,22M,42M,66L,154M) P37

M (2,14M,22L,42L,66M,154L) P36

31 Prime Factors 2LM

466L 30757.1557697434 8063186977.253 3659497537 4725568037.P25

M (2) 3108221.P63

470L (2,10L,94M) 941.894434441.335 7909154141.3842 5816980821.72250180 9616926841

M (10M,94L) 8 7255998201.323781 1125343321.P29

474L (2,158M) 151681.P43

M (6,158L) 1889033105 7055511701.P28

478L P72

M (2) 7 7852679293.P61

482L P73

M (2) 2640397.15594629.7611 9208744309.P45

486L (2,18M,54L,162M) 333 3950193493.P37

M (6,18L,54M,162L) 2917.4861.2612 9603777437.P29

490L (2,10L,14M,70L,98M) 30617 8659371201.137222 6516822701.P22

M (10M,14L,70M,98L) 7439220181.P41

494L (26M,38M) 515737.P60

M (2,26L,38L) 104729.2638949.53145 5155350809.P40

498L (6,166M) 136453.218166829.4 1732461753.57914 8740542722 8378717709

M (2,166L) 1993.8048516651 4184335373.P27

502L (2) 1912621.5 7762875981.197 2386557777.3850 8212572597.P32

M 5021.450631 8024012806 6017730357.P47

506L (2,22L,46M) 699404 2018866541.P51

M (22M,46L) 25301.109297.756550961.2569737193.9623862953.

.15 6296877661.10102736 0307659633 506M

510L (6,10M,30L,34L,102M,170M) 51001.2949879781.61 1787251461.1545 5023589221

M (2,10L,30M,34M,102L,170L) 15571321.P31

514L 2 2988734297.P68

M (2) 28564009.360197837.P61

518L (2,14M,74L) 203525988 4744589189.P48

M (14L,74M) 6217.P61

522L (2,18M,58L,174M) P51

M (6,18L,58M,174L) 7309.P47

526L 4319546 4658778477.801818 5473877547 1107692957.P37

M (2) 119929.731141.9 9972364781.P57

530L (10M,106M) 1061.3181.P56

M (2,10L,106L) 51941.24082141.3121 3331016701.P38

534L (2,178M) 3401264941.1 1221454641.P35

M (6,178L) 2137.928574737.P41

538L (2) 2153.3229.5381.4273873.163 3401082697.39186 9517930421 4327885157.P27

M 8609.1225752215 5068235430 2309961053.P48

542L 10474693.104167 7554991686 9669374386 7494211841.P40

M (2) 97561.P76

546L (6,14L,26M,42M,78L,182M) 503413.46 7811806281.P27

M (2,14M,26L,42L,78M,182L) 1948129.P37

550L (2,10L,22L,50M,110M) 12101.35201.69 8617420601.1873521 6413769901.P24

M (10M,22M,50L,110L) 19059 1117813882 4081520901.P37

554L (2) 1109.98787998 4327104437.P62

M 232681.98002601.1093620377.434 3215646437.36588378 5511434081.P31

558L (6,18L,62L,186M) 1117.140617.P47

M (2,18M,62M,186L) 77 5844757937.P43

562L 91568909.P77

M (2) 3373.3827221.58 3814409739 3452251044 4290213069.P43

566L (2) P85

M P86

570L (2,10L,30M,38L,114M,190M) 185821.247381.3996146881.P23

M (6,10M,30L,38M,114L,190L) 145777 2869697961.P29

574L (14L,82L) 2297.16073.P65

M (2,14M,82M) 10333.383 9331472313.1716 0693383233.P43

578L (34L) 7698961.21886549.11 3478990853.P57

M (2,34M) 936361.8540962 7558953934 1506608949.P49

582L (2,194M) 580837.856752889.P44

M (6,194L) 757039 0327211773.6918656 2412120809.36875 3186143805 2950582913

2LM Prime Factors 32

586L (2) 22396921.1 2377633813.79 6088615657.49803 9116406053.P44

M 5861.12893.60488093.6 4446752010 7517023949.P52

590L (10M,118M) 677321.824821.533194801.P49

M (2,10L,118L) 3474759 9647361961.P54

594L (6,18L,22M,54M,66L,198M) 529 2250152949.P42

M (2,18M,22L,54L,66M,198L) 2377.22573.15 5399494141.471 2151755917.P23

598L (2,26L,46M) 6542689297.20825 7309828865 8487833056 1061323409.P36

M (26M,46L) 20333.956801.15595841.1 9294368341.633984 0806910833.P36

602L (2,14M,86L) P77

M (14L,86M) 4817.18061.2789669.5956189.23 6344687097.

.2600756115 5890556369.4612 9120326545 7936024109 602M

606L (6,202M) 1213.10838917.4 8260169439 8006137569.P29

M (2,202L) 1896781.12753877.27 9393856326 4652590777.P26

610L (10M,122M) 7321.289541381.6978 3494046481.P46

M (2,10L,122L) 42701.211061.183102481.162147 4400951381.

.52512218 1762140401.40 2381691094 9111979881 610M

614L (2) 93329.1021697.P81

M 1229.7369.254197.201846361.30275 6422009117.1780398 4478124349.P42

618L (2,206M) 539455909.40911 0293612180 5539709429.P29

M (6,206L) 1237.P58

622L 6221.21149.P86

M (2) 889299 2859964273.25 0296080860 6492609801.P56

626L 42569.681089.6386453.59593 5893598452 7488648293.P53

M (2) 1933526201.30 7168226569.33843 1049916629.P59

630L (2,10L,14M,18M,30M,42L,70L,90L,126M,210M) 2521.P41

M (6,10M,14L,18L,30L,42M,70M,90M,126L,210L) 1711081.430839361.P29

634L (2) 6 3799650128 6702584141.7682 3960710503 7206095941.P51

M 344759057.41 0590256720 9832582077.3460215920 5085758779 9867500257.P36

638L (22M,58M) P84

M (2,22L,58L) 1277.181193.945 8426345106 0203297797.

.746942 9548715174 1747603533.P28 638M

642L (6,214M) 1016929.9512986513.1 6612568137 1619629161.P28

M (2,214L) 57781.9763322857.8725 1820842149.15750013 0135806013.

.339610376 6435902981 642M

646L (2,34M,38L) 10337.5779117.P77

M (34L,38M) P87

650L (2,10L,26L,50M,130M) 1301.666901.1 7812009801.P53

M (10M,26M,50L,130L) 500501.667 4103748838 5925405181 0171126401.P34

654L (6,218M) 5233.9157.P57

M (2,218L) 2617.285433069.119 3312900149.727351328 1851561317.P23

658L (14L,94L) 1198877.P77

M (2,14M,94M) 2633.6581.1822661.165989713.529 3859911206 7767917869.P39

662L (2) 589181.P94

M 432655397.5 1861618869.17 8005165204 0095043377.P60

666L (2,18M,74L,222M) 8271721.13441213.44 9818591141.P40

M (6,18L,74M,222L) 37*.1 9467440249 1792252193.P44

670L (10M,134M) 14271001.P72

M (2,10L,134L) 32 2495062136 9762729981.P59

674L 683437.30499849.P89

M (2) 5393.32353.2549069.15 6778842728 5810782881.P65

678L (2,226M) 2713.654 1323708817.P52

M (6,226L) 972239797.P58

682L (2,22L,62M) 162 6518693141.6302977 5697163441.4991 6029455783 0061662001.P39

M (22M,62L) 2729.9968113.3 5547685493.156565 7514926957.P54

686L (14L,98L) 1516061.14183737.2876 6422491720 1632616069 6843982089.P42

M (2,14M,98M) 1373.106301189.P78

690L (6,10M,30L,46L,138M,230M) 942 6998044141.468750001 9013509441.P22

M (2,10L,30M,46M,138L,230L) 1381.475904041.12 4398214921.

.223 6879829941.10154500 5972588481 690M

33 Prime Factors 2LM

694L (2) 5575597.60988721.5237357057.3419 5523753509.

.1154415 9832121397 7591105829.P40 694L

M 2777.1 8223420687 5674913613.42992 7788447751 2812338461.P57

698L (2) 8377.763613.2754 7678215997.15766 1163902833.11483591 4561123841.P50

M 19634 2372356257.1163229 3942370469.P75

702L (6,18L,26M,54M,78L,234M) 7011385057.2145 5171100793.P42

M (2,18M,26L,54L,78M,234L) 9829.59012929.52037 8545363301.P39

706L P107

M (2) 54102824 9071570661.363408 4258617465 0879031363 9089881017.P53

710L (2,10L,142M) 5039581.P79

M (10M,142L) 6561576218 5579629181.P65

714L (2,14M,34M,42L,102L,238M) 107445577.P50

M (6,14L,34L,42M,102M,238L) 12853.45697.242888 0150373517.P35

718L 585889.5199757.19 5352923041.62734125 5004753577.P67

M (2) 4909342 7230218193.287 6957196545 8458648037.P69

722L (38M) 47653.59961 8935673335 5044555777.456317820 7350998102 5650312961.P45

M (2,38L) 26980101 3130578289 2600265853 6748515187 8717233637.P56

726L (2,22L,66M,242M) 1453.11617.4124265157.1 0494482658 8233689949.P30

M (6,22M,66L,242L) P67

730L (2,10L,146M) 16061.20441.454061.P74

M (10M,146L) 844 8942064460 3064685541.P64

734L P111

M (2) 9252530 3484856757.P93

738L (6,18L,82L,246M) 2 7303986737.117 5968411417.P50

M (2,18M,82M,246L) 110069749.233957809.P56

742L (2,14M,106L) 4207141.P88

M (14L,106M) 752201 4358008949.7968576 1538122350 2399146729.P51

746L (2) 1493.699640 2304983061.P93

M 1 0856405213.P103

750L (6,10M,30L,50L,150M,250M) P61

M (2,10L,30M,50M,150L,250L) 3001.791058001.16806 9194932501.P34

754L (26M,58M) 10 7134819481.P90

M (2,26L,58L) 6576389.852121037.3 0084532141.P76

758L (2) 4549.10219357.27341 7303839929.P89

M P115

762L (2,254M) 19816 8459411337.P63

M (6,254L) 124347733.11899 6959723157.645 0243401921 5168363033.P31

766L 13789.111650629.16 0613346430 7410656290 2609963477.P72

M (2) 4597.210 9242532781.429 3744999756 3729850241.

.83938 9895387301 1112551573.P52 766M

770L (10M,14L,22M,70M,110L,154M) P73

M (2,10L,14M,22L,70L,110M,154L) 1823 0707209829 4717589401.

.14235 6688182500 6865551221.23359 2820429265 6509957961 770M

774L (2,18M,86L,258M) 147835549.1868 0859000948 8458594153.P45

M (6,18L,86M,258L) 1549.6043393.121717693.1451 2828061449.P45

778L (2) 17117.51349.2852149.13576 4017104229.P87

M 7461759101.P108

782L (34L,46L) P106

M (2,34M,46M) 3898 4039641073.91022 8332911141.223995 6782073053.P63

786L (6,262M) 14149.33013.1994869.1865269177.220310750 6077035781.P36

M (2,262L) 12577.39301.342697.7261434 8401770282 2117388229.P38

790L (2,10L,158M) 1 2769755739 6400084281.P75

M (10M,158L) 22 2895231858 6839413441.14 2762049959 6597354935 3488548021.P42

794L (2) 11117.7 0290725429.296 9043149112 0476836186 6863639017.P72

M 14293.25409.6312301.P105

798L (6,14L,38M,42M,114L,266M) 25537.568177.12828649.10 4038692997.

.8435068 4843543413.1 8515569129 4150619421 798L

M (2,14M,38L,42L,114M,266L) 186733.37137 1482910511 3122459933.P35

802L 42425 8268183989.2 4146400346 6457649643 1927438433 8661119475 4374657421.P56

M (2) 3209.322 2399621281.92 3607294368 7123019337 9118006301.P73

2LM Prime Factors 34

806L (2,26L,62M) 25793.P105

M (26M,62L) 3604799537.2482993 0066167773.2 0772889861 6807400249.

.70 8321664526 7849385001.P40 806M

810L (2,10L,18M,30M,54L,90L,162M,270M) 1621.1511474581.989 3662806061.P40

M (6,10M,18L,30L,54M,90M,162L,270L) 6876901.2458695061.3934029061.P40

814L (22M,74M) 18217 6230672267 9835497610 7737040389.P74

M (2,22L,74L) 24421.25465177.285298861.567115429.

.6195 2596147798 2276740749.P56 814M

818L 1637.9817.887 8514532229.6947 8655030362 2241850993.P80

M (2) 4909.1531297.1856861.2920693541.34835590 1370793093.P80

822L (2,274M) 17026909.43 5700800793.53 6097283051 1237186105 1024218617.P32

M (6,274L) 103573.681 2020940897 2507562389.P54

826L (2,14M,118L) 1908628 4787228608 5346690729.P79

M (14L,118M) 369788888 4800902289.856 4919928689 3829987711 9627656209.P54

830L (10M,166M) 300 6223089184 1609742650 9812306269 9840591301.P56

M (2,10L,166L) 15188 5505618086 0747273812 1395023341.P66

834L (6,278M) 1669.10009.8468437.575 5632532254 0264790905 4046710513.P36

M (2,278L) 6 1941520273.263 5018202833.P61

838L (2) 63689.356989.1 6651785611 5024467733 1682477892 1195502289.P75

M 53633.186037.86 0166859801.362 9006995613.2124 9026860157.P79

842L (2) 31142213.3457679737.

.16430914 4186724605 8226041071 6166347479 9516846681.P62 842L

M 5442059869.1300902386 9226815161.P98

846L (6,18L,94L,282M) 8499 5141991620 2422143761.P60

M (2,18M,94M,282L) 1693.8461.500715223 2772194889.

.2152814 1269055821 4223757449.P31 846M

850L (10M,34L,50L,170M) 5101.P93

M (2,10L,34M,50M,170L) 8501.504123101.164 2180113401.P72

854L (2,14M,122L) 11 7955793453.5 8173423339 7519028692 3081347291 4416283229.P57

M (14L,122M) 5124001.700853 1058606134 3663513542 0807573041 7605687061.P56

858L (2,22L,26L,66M,78M,286M) 3433.1148134 3507470409.2177085203 7342601909.P33

M (6,22M,26M,66L,78L,286L) 360960601.1151 7089006281.1289 2407528001.

.10296 8399238277.10904 4656340314 7928146313 858M

862L 91373.3754873.1096464158 4403141057.

.293570 1687054949 9500380868 0954965317.P64 862L

M (2) 1289 5071553121.P116

866L 1733.5197.P124

M (2) 31177.239017.26206346 8403105021.P103

870L (2,10L,30M,58L,174M,290M) 789961.4818061.11 4082022941.443 1960464101.P31

M (6,10M,30L,58M,174L,290L) 1741.P65

874L (2,38L,46M) 32 5096053553.P109

M (38M,46L) 35591029.2968523521.

.4 5818248313 2499053328 6431977728 1951332281.P62 874M

878L 695377.36297785 7081457472 4017301853.P99

M (2) 15 0554282629.4421 0591644829.15 6897117024 9692917853.P86

882L (6,14L,18L,42M,98L,126L,294M) 85225897.P68

M (2,14M,18M,42L,98M,126M,294L) 720636337.P68

886L (2) 2086650224 7259130263 4938023901.P104

M 77 3339215189.137589 7917513661.P107

890L (2,10L,178M) 9867209 5457750041.P90

M (10M,178L) 87221.1153441.

.55914 1875690047 6022231964 0717462096 6113027521.P50 890M

894L (6,298M) 107173 6941969853.11 5712304912 8856803853 5595405733.P43

M (2,298L) 9177656424 7913969107 0722713534 2022959333.P50

898L 3615349.111190361.6235 6600805137.

.8 6420054428 2117054232 3275703407 9819511061.P66 898L

M (2) 3593.165233.14 8061155217.48188915 9039762177 9692694053.P87

902L (2,22L,82M) 66749.5957537 0467415918 0615519593.P90

M (22M,82L) 5413.440177.547 5904622663 3791814015 3285718193.P78

906L (2,302M) 1398353017.P82

M (6,302L) 5437.23557.61109541 9792177937.1 4735064051 3623971909.P44

35 Prime Factors 2LM

910L (10M,14L,26M,70M,130L,182M) 2273429341.1299750 1575909761.

.1398648 1040036186 7053688001.P36 910L

M (2,10L,14M,26L,70L,130M,182L) 50436 0902692921.P72

914L P138

M (2) 71293.6196 3339792346 7946602186 4314534473.

.584529625 7595668545 5249699376 9750792368 2374822769.P50 914M

918L (2,18M,34M,54L,102L,306M) 27541.142 6465062181.215220 4823142217.P55

M (6,18L,34L,54M,102M,306L) 67135177.4875 2128660789.P66

922L (2) 14753.7278269.2 5002764653.P117

M 226813.21102737.44089 6496421649.44089 9435059844 7800331911 2411840301.P77

926L 1 6694937341.1054 7461581281.9227 3133899101.

.384481 5826238691 0553851972 9859671451 5071097181.P57 926L

M (2) 46475941.P132

930L (6,10M,30L,62L,186M,310M) 7 6712902561.10341 0510721501.P48

M (2,10L,30M,62M,186L,310L) 1861.102301.4242661.1 1292210661.

.384333673 6934094661.P28 930M

934L (2) 13453337.27 9037459866 2529629911 8201729068 0305257169.P92

M 252181.1372981.P130

938L (2,14M,134L) 8158354429.2 9782911970 6021674037.

.2 0507066557 4211000839 2345075817.P59 938L

M (14L,134M) 1877.P116

942L (6,314M) 5653.167677.5 4994615633.376 8143933833.P62

M (2,314L) 3769.154 2530589829.4974427586 2735900818 3994483801.P50

946L (22M,86M) 9461.38629983 5479975297.5880 7360051860 2649955549.

.3685966951 1618643471 4529041561.P52 946L

M (2,22L,86L) 109 6710113137.353 0395687588 7883008321.

.322728 7178880200 4477006473.P67 946M

950L (2,10L,38L,50M,190M) 1901.P105

M (10M,38M,50L,190L) 4016 3004754501.P95

954L (2,18M,106L,318M) 861 9619038134 4385442209.P71

M (6,18L,106M,318L) 28621.4439299717.P81

958L 6380281.39557737.79190197.2 0447266728 4853311874 8512612521.

.1084189530 3773125040 7515741079 9939962357.P53 958L

M (2) 70309537.344713309.9148411421.4 6121007006 2342745541.

.882 6201527535 3805633103 5832702581.P64 958M

962L (26M,74M) 481001.1644 1275231629.P111

M (2,26L,74L) 2582009.114389497.258190 3893652794 4611398599 9067417377.P81

966L (2,14M,42L,46M,138L,322M) 378600 5537047189.

.426737559 8171065492 1991317497.P35 966L

M (6,14L,42M,46L,138M,322L) 25117.83077.625969.927361.20527501.

.1 1706990709.3464715360 9626757361.84 2045142092 0740248349 966M

970L (2,10L,194M) 46948001.8835219781.678 4358150187 4371319121.

.11948666 3830373584 2185457565 2337185701.P39 970L

M (10M,194L) 145501.3140861.232136521.

.7494507 6544223461 9275537511 1824820641.P59 970M

974L 1949.7651273904 0807565074 3952748313.

.4 3606879892 4858636311 9735607827 8763527729.P73 974L

M (2) 7793.890237.1506459 1396749221.785728 7903500369 3344205781.P94

978L (6,326M) 23473.12799 6604801206 6420189837.P69

M (2,326L) 16 8007642969.P87

982L (2) 3 9177439921.330 3581302573.2109274 8383123969.

.154 1329369352 7703852730 9886275715 6143027753.P66 982L

M 3929.34631213.1748832017.249353 2754808701.

.2315 5466613303 7316219458 2208321642 5083536307 7969665249.P59 982M

986L (2,34M,58L) 1973.18872041.

.58160045 2099029650 6434032498 7869923863 2906101009.P77 986L

M (34L,58M) 93 3985597217.565 9514797721.22700 9328902320 8850095397.P86

990L (6,10M,18L,22M,30L,66L,90M,110L,198M,330M) 162938144 7071722081.

.31471 7574384073 6588737901.P30 990L

M (2,10L,18M,22L,30M,66M,90L,110M,198L,330L) 7 8061555441.P62

2LM Prime Factors 36

994L (14L,142L) 33797.3 0847666781.187 8507528353.636 6714750257.

.413 5158124929 4313852093.P64 994L

M (2,14M,142M) 371805701.1 0786013281.P109

998L (2) 43913.1179637.823727 9052304889.

.3 0596612236 5443084273 2230922240 4949749049 5035605409 1133804913.P63 998L

M 1997.2206 1306071789.11075 8371371929.

.234792 2294282923 5644294920 9158283361.P85 998M

1002L (2,334M) 6 8488673941.7 7510291046 8546720718 9451891583 0832016429.P49

M (6,334L) 857713.5 8152051961.7925986 1740715737.

.11 0162093098 9311809850 5744897029.P35 1002M

1006L 6037.10061.5798167517.

.31040 9448422247 0608516824 8565214869 4686802345 5696697717.P80 1006L

M (2) 35 0862114989.P140

1010L (10M,202M) 98981.27338681.316273421.8284 5386590381.

.2429 6994257808 7732337791 1266793981.P52 1010L

M (2,10L,202L) 32321.369661.432281.40 6188130940 2353667921.

.48301 5647212121 7145581641.P59 1010M

1014L (2,26L,78M,338M) 5270773.40318669.165902090 4838638433.P62

M (6,26M,78L,338L) 13*.2029.795557710 1083457851 4483494605 9455614837.P51

1018L (2) 103837.2 9297608369.4304432101 0100086325 3503312757.

.870 0072752606 3668702562 5654066442 5172655971 3155616893.P55 1018L

M 4073.13350053.82384622 0420458757.

.520829 8499888892 8182021581 6258562729.P89 1018M

1022L (14L,146L) 6133.136949.2967 3421931954 7615227369 3588914270 8934673077.P78

M (2,14M,146M) 38780813.58775221.125 3161372513.202 8060820549.P91

1026L (6,18L,38M,54M,114L,342M) 2053.8209.3311929.

.1 2279445240 0182217239 3353063497.P54 1026L

M (2,18M,38L,54L,114M,342L) 16417.68897953.645106 3913299122 8987740813.P60

1030L (2,10L,206M) 18541.5 9411261081.40824 9548543821.P94

M (10M,206L) 43214788 6392149801.3713 4042981653 6026068221.P82

1034L (2,22L,94M) 2069.8273.136624489.1 5709397621 6637466381.

.128357036 6802434228 9606276801.P76 1034L

M (22M,94L) 49633.97539 1949683066 4355860441.

.4198290 7768571099 9814594461.60 6821377656 9258563803 5411639241.P51 1034M

1038L (6,346M) 173622109.P95

M (2,346L) 41521.332161.1 1065889641.P84

1042L 8 9353834081.293 2551327184 1158911701.374564 9296296417 3214784249.P98

M (2) 16673.62 7186185377.

.1655 7976115131 2296194143 4005140879 9100211921 6371476353.P87 1042M

1046L (2) 8369.351457.54 7912280753.476 4361120086 0147977473.P113

M 1051 7093353577.127532599 0422611449 7812548454 4688931081.P107

1050L (2,10L,14M,30M,42L,50M,70L,150L,210M,350M)

7436896275 9708115735 3277424901.P43 1050L

M (6,10M,14L,30L,42M,50L,70M,150M,210L,350L) 6301.P69

1054L (34L,62L) 1306961.5261 1908195653.24263560 6517096040 0939317557.P97

M (2,34M,62M) 193937.37 8348540841.3241 6257540349.P115

1058L (46L) 64357 9915284121 1081200083 9152450752 3893004054 2250409178 8\

503223673 6487628129.P78 1058L

M (2,46M) 730021.425654561.8668570649.1229329487 1336138568 1433796429.P99

1062L (2,18M,118L,354M) P105

M (6,18L,118M,354L) 73505269.439487358 7866112297.

.736469133 2765774569.1557951361 5042163909.P41 1062M

1066L (2,26L,82M) 149263453.463737783 4385724793.

.1111 6024594457 7905963264 0316049501.P86 1066L

M (26M,82L) 559868569 0470790115 1366468901 8605259554 4287930857 6508528221.P86

1070L (10M,214M) 21401.22254797 2096532691 9430030621.

.6 2747189326 2990390212 0853052261.P65 1070L

M (2,10L,214L) 2141.6421.115561.56 2285164781.28475810 5146677801.

.824357430 0923936588 4911622721.P58 1070M

37 Prime Factors 2LM

1074L (6,358M) 1848265933.56325 9857998708 5336788726 2701680533.P63

M (2,358L) 111697.551680693 2793609092 4187079613.

.4176706319 8704058874 8337613157.P45 1074M

1078L (2,14M,22L,98M,154L) 10781.81929.90317 5120803986 8350950718 0285854441.P83

M (14L,22M,98L,154M) 213 6469147429.111 2069160977 7972893205 1224808777.

.1297662 9951234799 6575293631 9854262257.P46 1078M

1082L (2) 1281089.10393693.8352693761.7 1921241032 7043387693.

.39068470 4255023993 2867833269.85313 8141986337 5697017583 2902213497.P56 1082L

M 262302769.717363122 8267151597.4703 5620307262 5792142480 7731395517.P102

1086L (6,362M) P108

M (2,362L) 23893.9 2973179860 1457857977.1518789 3233965674 0319930861.

.39401102 5965773601 9867352093.P30 1086M

1090L (10M,218M) 7377331 7152282961.P113

M (2,10L,218L) 529741.19 6250050621.603 7514298961.

.54736662 1242786875 0478333481 3261940566 4230177381.P54 1090M

1094L (2) 67887077.540893293.771138721.29828214 2987952117 3616805750 3181875257.

.5739192789 9330786561 7653419476 3447207172 6676896341.P52 1094L

M 4523 2564075409.5466904460 5171143533.

.625015 9249928205 0390518561 9758164780 7719688397.P86 1094M

1098L (2,18M,122L,366M) 402023 2836240289.229 2714707754 1188200231 4404819941.P61

M (6,18L,122M,366L) 13177.72469.57458341.P92

1102L (38M,58M) 18775877.2052 0104153306 3878539949.

.177203248 8753601493 8379267081.215525342 9227888997 5789265257.P65 1102L

M (2,38L,58L) 99181.P148

1106L (14L,158L) 398 4238283369.2773 7993550233.P115

M (2,14M,158M) 2213.86269.245 4574823653.P121

1110L (2,10L,30M,74L,222M,370M) 115169907 1895212081.1 4190357393 1683412021.P48

M (6,10M,30L,74M,222L,370L) 2221.4441.6661.31081.6774790 3280789101.P56

1114L (2) P167

M 9 1441702997.14206648 2414807053.302480 6763319187 7840469313.

.425633676 7013448212 6879584738 2936298988 1897408337.P66 1114M

1118L (26M,86M) 43386 9082773756 1511492583 9648653328 9254338302 5255328\

816 9968186496 5988739409.P77 1118L

M (2,26L,86L) 2237.830182081.5689562898 4182809549.141 5875647329 3001559237.

.57 4834143264 9049057900 7003601614 8694273021.P57 1118M

1122L (6,22M,34L,66L,102M,374M) 56101.365773.4696014313.

.1018181 1482233762 2659422429.P51 1122L

M (2,22L,34M,66M,102L,374L) 10118197.350575633.1274 9191040653.

.912098 0814730753.3705 7851231224 7796290757.P28 1122M

1126L (2) P169

M 51797.133489553.13 2585943757.4168 9837869941 1632562113.P122

1130L (2,10L,226M)

2387230 1345988040 8984186131 2230726458 8432626097 5958328245 9944345181.P69

M (10M,226L) 527323541.23534022 6966187083 9914687981.P99

1134L (6,14L,18L,42M,54M,126L,162L,378M) 23191 5937998781.

.5 6200725327 4813199701.P63 1134L

M (2,14M,18M,42L,54L,126M,162M,378L) 2269.13088629.20783953.

.151 6337278699 4713185661.2213395 6792820850 1936257661.P32 1134M

1138L 37690561.

.58 4292780688 2688914391 9642664703 4627936347 3081340409 0903757913.P102 1138L

M (2) 47797.170701.257189.4540995541.2848047326 0248220090 2883663813.

.4258732 1418934907 4745982247 0559036525 3755277141.P70 1138M

1142L (2) 2384497.5536417.94600997.P151

M 36 7032005101.38 6111803369.2153467077 6594014389 2464882933.P120

1146L (2,382M) 2293.36875989.21356408 0496568486 1915149909.P77

M (6,382L) 2392849.22312621.P101

1150L (10M,46L,50L,230M) 425501.646301.13220401.385231601.15710 0602804501.

.726424446 3759579701.6884 0040980271 6748146950 8147048501.P39 1150L

M (2,10L,46M,50M,230L) P133

2LM Prime Factors 38

1154L 2309.92936237.1 7473219453.1328743 9049014069.1229317 3128342921 1231592321.

.59941465 1787330278 3552221009.31 7373985524 4701997649 4669130549.P51 1154L

M (2) 30746 5524354077.34483 2377364549 9468855546 9910052333.

.733682355 9794508717 3002261521 6673064893.P86 1154M

1158L (2,386M) 222337.349717.5 8789629528 4829729761 9586250612 7739755393.P65

M (6,386L) 5 7760432815 2374586516 3771347977 1214237122 2569427313.P65

1162L (2,14M,166L) 4649.39509.6804804469.1529 3148196817.

.1529 9116680410 8075380869.P94 1162L

M (14L,166M) 12902849.882 1093329813 2009685601.P118

1166L (22M,106M) 2333.59672 0894582957.1510016481 6288253924 8423272681.

.22 9056579832 9686623762 9196250169.P78 1166L

M (2,22L,106L) 6997.70823235 7842915049.P136

1170L (6,10M,18L,26M,30L,78L,90M,130L,234M,390M) 145332 4328230321.

.7405 2071445243 5045829181.P48 1170L

M (2,10L,18M,26L,30M,78M,90L,130M,234L,390L) 11701.1736281.

.1024 8564275821.P64 1170M

1174L (2) 35221.

.3942261843 4983024679 2353594915 5536691414 8016307620 8147970769.P112 1174L

M 13658317.243 4616217281.P158

1178L (2,38L,62M) 2357.4813309.83489573.25775 6820993233.

.4 2247652222 5569289589.80 0534177047 6454286518 0196315461.P79 1178L

M (38M,62L) 10781948 4952431299 3921613457.P136

1182L (6,394M) 45 5828392477.1385 2613550949.P93

M (2,394L) 21277.3 7614046069.2883027 7923736275 4213152217.P78

1186L 88 7672734753 6580949428 7801750133.15 0797555511 2612582371 791046\

5843 4573990482 8259811543 0090769305 7510551177.P76 1186L

M (2) 233601 9034386345 5255753897.2622476 8163893028 0556661848 2868567341.

.433 3842025097 1406611206 3409814419 0031735501.P74 1186M

1190L (2,10L,14M,34M,70L,170L,238M) 1408695661 3007413540 5157253141.P86

M (10M,14L,34L,70M,170M,238L) 14281.P112

1194L (2,398M) 2389.121789.P112

M (6,398L) 11941.1162957.2008309.120424453.24 4109159209.P83

1198L 306689.9385133.19 2262593657 6797346329.

.17032 5907583356 7498448523 1169885755 9921160850 8810887317.P93 1198L

M (2) 4793.86257.P172

1202L 7213.3221913 3649894632 9196503049 4753225645 5867715455 818968809\

8 3249589434 3387645769 3205092709.P91 1202L

M (2) 79333.685141.P170

1206L (2,18M,134L,402M) 171253.262909.122208724 7486540569.

.723507290 6255562457.P72 1206L

M (6,18L,134M,402L) 482401.7986133.8800285717.P97

1210L (2,10L,22L,110M,242M) 4 2067554231 4507855321.

.398064000 0751780092 8189621561.349606207 4618411064 3754436677 7324120641.P45 1210L

M (10M,22M,110L,242L) 705313841.23709 0382248281.P110

1214L 639 1568743817.236606 9394177173.

.228 0045643161 7079613000 0358001103 6179865373.P113 1214L

M (2) 7889023609.69 5864724733.P161

1218L (6,14L,42M,58M,174L,406M) 2437.102 0353649169.89878 5760385437.

.1 5816048629 9350364173.P52 1218L

M (2,14M,42L,58L,174M,406L) 2745373.P95

1222L (2,26L,94M) 1363753.390941529 3164146554 2385449208 3019690148 253\

1035005 9079405831 3678419233.P92 1222L

M (26M,94L) 4889.7333.21997.5956 8177402910 2364002485 9734331909.P121

1226L (2) P184

M 17458241.1820141 6023204829.220 6140518213 1487143329.P139

1230L (6,10M,30L,82L,246M,410M) 83 3434217952 1862957161.

.263624 5058629795 6200239291 8766778961.P40 1230L

M (2,10L,30M,82M,246L,410L) 3639939001.1 2982379401.P76

1234L 232281 7005065617.1 1555101602 5898845629.P151

M (2) 86381.7367588 5758484118 0276859765 3205046693.

.250303 6353481718 5101957125 0060477510 3045487447 8028239473.P88 1234M

39 Prime Factors 2LM

1238L (2) 114519953.121941631 3117078333. C160 1238L

M 2477.103993.284741.35147355 7598382337 8579684829. C145 1238M

1242L (2,18M,46M,54L,138L,414M) 4969.119233.

.24562721 9111827348 9065950317.371971784 6059449725 2645353541.P55 1242L

M (6,18L,46L,54M,138M,414L) P120

1246L (14L,178L) 72269.3 4870850057.4 6339851433.450131 3430014381.

.22622 4076308652 7047749989.

.554278 0706199459 7652368186 3658722415 4569405629.P47 1246L

M (2,14M,178M) 89349398 5630470339 5663407601 5148710969.P122

1250L (10M,50L,250M) 37177501.831172501.

.633746 6721165966 5827653351 7443227501.P99 1250L

M (2,10L,50M,250L) 5*.1 4321535001.P140

1254L (2,22L,38L,66M,114M,418M) 12541.4242 6325022797.P91

M (6,22M,38M,66L,114L,418L)

13039 2427184391 7073922190 0361385547 6214730481 5595643977.P55

1258L (2,34M,74L) 42773.332113.415141.51 6036294857.P147

M (34L,74M) 347209.4398008 6132460853.

.153915 4458793030 5813854867 7064819441.P116 1258M

1262L 1052 3982032237. C177 1262L

M (2) 328121.651193. C178 1262M

1266L (6,422M) P126

M (2,422L) 20699101.262 9065686029.

.20884355 0273990746 4342229632 5180908469.P70 1266M

1270L (2,10L,254M) 3725804081.167899 4168010376 7514757241.P118

M (10M,254L) 121921.14142721.

.94709 6618490765 0497602188 9161151507 7182198170 7767567299 8376309901.P75 1270M

1274L (2,14M,26L,98M,182L) 665029.231 5023007259 0958421368 2219976961.

.310920 9778162554 6003941991 3999757093.P79 1274L

M (14L,26M,98L,182M) 2549.4 1202153721.

.18 2873213639 0861007107 3414302067 4129520366 3745501269.P87 1274M

1278L (6,18L,142L,426M) 25561.1 2660182389.45 8731140013.

.43823890 3317699710 9182093871 4185416663 4457637249.P53 1278L

M (2,18M,142M,426L) 2557.P123

1282L 95358 2699783512 1339423258 7959660153.P158

M (2) 62248793.813 4281864895 5422234009 5640950541.P152

1286L (2) 7981661881.606108 1064769509 5186609057.59260258 7269368863 6842717229.

.3904558 4120023503 7764491873 9335472321.

.546212 6032610838 3224160940 4810125380 5830098277.P48 1286L

M 870 1088175747 3495441157.26300 0745013011 3902960754 3064193681.

.289139 2071775232 0572528587 0791508089.

.440 2566526102 6659511101 5316216445 1383880029.P59 1286M

1290L (2,10L,30M,86L,258M,430M) 7741.3636776 0795657398 2028400928 2897762821.P60

M (6,10M,30L,86M,258L,430L) 15 1874081341.443 3672767861.P78

1294L 144563093. C187 1294L

M (2) 854041.9679121.6312740 8949237622 6672399593.

.3 6484622801 2123353996 9405866471 8840029121.

.5672396 9466541850 0647536873 8164191746 1377169977.P68 1294M

1298L (22M,118M) 4898653.72103901.P160

M (2,22L,118L) 173933.8742582842 4449969917.

.818 6287309036 8159284477 1088898401.P117 1298M

1302L (2,14M,42L,62M,186L,434M) 2087361782 8595205913.

.451 6512358179 4832079829.P66 1302L

M (6,14L,42M,62L,186M,434L) P109

1306L (2) 262142209 1203700761 6369852597.

.244 4038758180 9709320543 0142765958 4157488373.P126 1306L

M C197 1306M

1310L (10M,262M) 6911561.511989 0907438001.P134

M (2,10L,262L) 2621.8 3492003741.150346 2862234972 5327496801.

.457 8376497845 5457424079 8734875475 8713076681.P75 1310M

1314L (6,18L,146L,438M) 10513.410801077.P118

M (2,18M,146M,438L) 76213.192279019 1163843790 4095974997.P97

2LM Prime Factors 40

1318L (2) 5273.52529 9783447107 4257092065 0521164157.

.3114 2777780540 3407965391 2614230139 5656890333.P116 1318L

M 1534153.38 1774141689.17 0556606741 3732555673.

.268377 3951307351 1818075277.C134 1318M

1322L (2) 2272 5574006237.6 6088065530 3871026951 0748680377.

.118 2245665252 9754284127 9813092349.P123 1322L

M 9 3405283373.3637 1821254913. C175 1322M

1326L (6,26M,34L,78L,102M,442M) 15913.2905039984 4952487118 6054641477.P83

M (2,26L,34M,78M,102L,442L) 18009 4835025613.35 6937545120 9989130113.

.81 5768566717 4285670949.P58 1326M

1330L (10M,14L,38M,70M,190L,266M) 22229621.2 6215294841.23 4340733201.

.105702 9405859421.5991 6956271254 5924071281.196651 4598664949 5362349061.P38 1330L

M (2,10L,14M,38L,70L,190M,266L)

20789 0062813500 1173533680 8422445873 5383017901.P86

1334L (2,46M,58L) C186 1334L

M (46L,58M) 47 3384706747 8775940624 1015227981.

.84 2307497264 0008304119 4644865366 3441618497.P112 1334M

1338L (2,446M) 13381.16057.454921.229 5666726811 7433010417.P98

M (6,446L) 2677.240841.P125

1342L (22M,122M) 13421.1535249. C170 1342L

M (2,22L,122L) 361558957.7056974101.39 4583992441.1888 1530641689. C138 1342M

1346L 2693.26921.419953.4118761. C183 1346L

M (2) 3 4549741777.30949 8021695021.56591906 1885282241.

.224 2642075701 5595490380 4405153717.

.9417721 7744902722 4661637281 1595314896 3505947619 6538528721.P70 1346M

1350L (2,10L,18M,30M,50M,54L,90L,150L,270M,450M) 32040901.2 2873797901.P91

M (6,10M,18L,30L,50L,54M,90M,150M,270L,450L) 110053 8522333110 2860132301.

.2573404865 7439450057 4603230201.P54 1350M

1354L (2) 5417.48017017 2376488257.P182

M 3495803237.P195

1358L (14L,194L) P174

M (2,14M,194M) 13 4409524789.524051 7008024021 9239513104 3175452901\

9208488034 6691212468 1960196189 5289984669.P87 1358M

1362L (6,454M) 239310246 2756185953 8330376625 3018023798 9024296581.P88

M (2,454L) 108961.4543573771 2135779825 2962690889.P102

1366L (2) 195 1402384429. C193 1366L

M 5965540650 4682930077. C186 1366M

1370L (2,10L,274M) 68501.1422061.32197741.36 7116708001.365814 7051099901.

.595 3275730721 1753085516 1987820721.P86 1370L

M (10M,274L) 2741.2 7903332521.425615 9466546321 6927619561.

.191549 8877705218 4768372641.696754212 5592813698 1769670553 9549641141.P60 1370M

1374L (6,458M) 10993.75826080 2584066297.1884 9601819949 0595752269.

.145 9074655225 1089472626 9329310477.P60 1374L

M (2,458L) 367 8659056693.

.1 8494387365 1573640272 2126846511 0495985923 2223437201.P76 1374M

1378L (26M,106M) 53*.13781.31944797.P175

M (2,26L,106L) 112536 3775759549. C174 1378M

1382L (2) P208

M 11057. C204 1382M

1386L (2,14M,18M,22L,42L,66M,126M,154L,198L,462M) 6 1262261677.566 9488462177.P86

M (6,14L,18L,22M,42M,66L,126L,154M,198M,462L) 30493.279 9652196881.

.32016 0637826569.3 9273997150 0511407081.P57 1386M

1390L (10M,278M)

79991005 2704127730 8227936769 1810787904 8659982598 9737123281 4181525061.P98

M (2,10L,278L) 29776 2786963675 5197817701.P143

1394L (34L,82L) 178 2642573673 6203762737.276 0706098195 5863627575 3195671257.

.1 0891895405 8656483024 0224622201 0428766929.

.1707 7331624321 1226963892 0312732818 2273838873.P55 1394L

M (2,34M,82M) 2789.6 5188447249.18 7454737489.34 0699903669.

.19249093 0402101389.3350 0493281296 6314843630 7621287413.P106 1394M

41 Prime Factors 2LM

1398L (2,466M) 1221853.6785893.P128

M (6,466L) 2797.8389.1165933.107972417 3577684725 0538834733.P98

1402L (2) C211 1402L

M 1649929681.484 6812462461.1218382832 8909342254 6720997417.P161

1406L (38M,74M) 362749.22773 6214726041 1119108772 1187593281. C155 1406L

M (2,38L,74L) 2837702 9766703740 7865613613. C170 1406M

1410L (6,10M,30L,94L,282M,470M) 16921.606301.13042501.

.1900 1168479114 2824004209 7305733313 0463856541.P51 1410L

M (2,10L,30M,94M,282L,470L)

7883602 1381216549 0704037767 3540031014 5996791221.P64

1414L (2,14M,202L) 5657.33937.1324280 7484763948 9060320753.

.11933784 2373025889 2088506741.1 1884802805 1552238693 1268536269.P90 1414L

M (14L,202M) 123531 9027785221.P166

1418L (2) C213 1418L

M 2837.53649 0644259457.870 7329215360 2373975480 7103419461. C163 1418M

1422L (6,18L,158L,474M) 2681893.2711 7844710942 2517655093.P112

M (2,18M,158M,474L) 918613.6546889.6834133.22877495 1370201069.P104

1426L (46L,62L) 4564 7342873108 7987364139 4282468773. C165 1426L

M (2,46M,62M) 3402437.765740396 4605692248 3053365596 7395782501.

.11 7382771591 9754044250 7779720720 6627362457.P113 1426M

1430L (2,10L,22L,26L,110M,130M,286M) C144 1430L

M (10M,22M,26M,110L,130L,286L) 2861.560561.4 9267878661.

.311 7322107826 5534256376 1757374135 1688171461.P83 1430M

1434L (2,478M) P144

M (6,478L) 7832509.1 9266397866 3261197929.P116

1438L 98099 6410232957.398144 8614279812 4464418541.P176

M (2) 8629.31072 3527776374 6985831018 3672941789.

.155046904 3715183831 3446003622 4501936457.P140 1438M

1442L (14L,206L) 278305 6526435417.1259 2589174596 6089707777.

.47 4218816557 7925048011 5864935012 0439135477.P104 1442L

M (2,14M,206M) 323009.382015678 0374186113.1 5144405300 4792583729.

.31 3746702462 1943585066 1199575959 3899050877.P99 1442M

1446L (2,482M) 83869.18829813.13108 3412582713.71 3069140712 2243556677.

.665345 8157551864 9956300812 2940904344 3058559501.P52 1446L

M (6,482L) 3204570253.139679 5475757457.30016934 2181400173 6596239433.

.408818358 1970539425 8761789777.P64 1446M

1450L (2,10L,50M,58L,290M) 2662201.1289862001.4 9668095528 5030838701. C133 1450L

M (10M,50L,58M,290L) 5801.266801.10 0217132801.74493 5396862001.

.7142506 0534308301.2 8226351017 2056765967 5172141172 4002863501 1954899001.P67 1450M

1454L 2909.862 3813357177.68 1907085444 8194030313. C181 1454L

M (2) 4 6354659937. C208 1454M

1458L (6,18L,54M,162L,486M) 4350673.185 5301844889.591 7464834049.

.7655029298 6848242804 4522560409.P85 1458L

M (2,18M,54L,162M,486L) 1575 6367092121.23 1044860678 9649285233.

.98187 5901045517 9465532594 6978063569.P77 1458M

1462L (2,34M,86L) C203 1462L

M (34L,86M) 5849.3456169.110577633 7262654129.3 9949063132 8637643761.

.1370 1202218139 3232206253.C130 1462M

1466L (2) C220 1466L

M 627449.P215

1470L (6,10M,14L,30L,42M,70M,98L,210L,294M,490M) 1484701.3298681.

.8346853568 0255056381.5 2001576940 8683617721.7 4429825431 7046214381.P28 1470L

M (2,10L,14M,30M,42L,70L,98M,210M,294L,490L) 1467061.679 3177127101.

.1013 7296444101.P70 1470M

1474L (22M,134M) 5897.32429.61909.2985338 0696418401.5168673210 7634400481.

.806 9970082210 7987325386 1254039134 3336685633.P107 1474L

M (2,22L,134L) 914450 4350025197 9567219384 1434619169.

.2638262922 0128000826 9004860466 7428700453.P124 1474M

1478L (2) 523213.170756297.440074501.7880920300 2218382049 3369752421. C170 1478L

M 2957.6139613.38 0765792843 4210336704 2880439853.P181

2LM Prime Factors 42

1482L (2,26L,38L,78M,114M,494M) 8893.P126

M (6,26M,38M,78L,114L,494L) P131

1486L 260683037.P216

M (2) 1126545517.15858837 6727304628 7425657193.

.1794736877 6748552376 2057078149.82 9045140091 2997358084 6869626857.P126 1486M

1490L (10M,298M) 12149461.31759643 1444133301. C154 1490L

M (2,10L,298L) 8941.1 5472037821.1 9597338228 2821775041.P145

1494L (2,18M,166L,498M) 201920077.2024367013.

.25545 0160174472 1232505102 6538118260 0544409941.P86 1494L

M (6,18L,166M,498L) 842617.4567147765 6545777694 7610460261.P113

1498L (2,14M,214L) 32957.407 1247577461.P175

M (14L,214M) 8610917449.2 0882647297.116878 1887512373.

.31 9232900578 5808731941 4543412049.10100 6172052005 4066861944 5903235817.

.2068214 6952112818 1117676888 2056531481.P55 1498M

1502L 19507 4519591093. C212 1502L

M (2) 9013. C222 1502M

1506L (6,502M) 9421537.7 0906046209.4 3766902980 9782399804 8670169409.P102

M (2,502L) 1563229.414 3203111865 8520623317.

.1015015 8217963770 9497403340 0280350597.P87 1506M

1510L (2,10L,302M) 10284066 9213137196 7011746434 4952798481.

.764631495 9368848394 4866753570 7888361467 6365385821.P96 1510L

M (10M,302L) 673 1030511001.2252 4246248701.P155

1514L (2) 8394035445 9118810481.P208

M 1278270 3425963929.15 5461962797 9428074907 5061880957.P181

1518L (6,22M,46L,66L,138M,506M) 3037.6073.9109.176089.13652893.

.8073472 3637871997.4890980423 8722525964 9653667510 7089149541.P53 1518L

M (2,22L,46M,66M,138L,506L) 40 7997301669.8984124 3813164449.

.1555531117 9383169261.1320 9152391521 1513329293.P61 1518M

1522L 82189.529657.1567661.40792 6786285441.116845738 7724788393.

.159732 6665111466 0174431016 1030566437.

.135263 4701194560 8970006460 6677798904 1799189313.

.4583511 8187315186 9482378811 2251116316 2916683061.P53 1522L

M (2) 9133.97539231 2590881402 4338488617. C197 1522M

1526L (2,14M,218L) 167861. C191 1526L

M (14L,218M) 228901.89585357.11 9376955701 4682568929.

.26949677 9485609564 1855543404 1273937193.

.5802394077 5396337496 0883175499 7301623429 5004562061.P74 1526M

1530L (2,10L,18M,30M,34M,90L,102L,170L,306M,510M) 36721.70381.965133181.P98

M (6,10M,18L,30L,34L,90M,102M,170M,306L,510L) 25319 0737566001.

.358689 4001914682 1356818901 4966376501.P66 1530M

1534L (26M,118M) 2602289873.1 4878594277.69728856 4688146289. C172 1534L

M (2,26L,118L) 32554549.130 1673138221.139 1657728553.1026105 9495917413.

.1745743206 3319084433 4669825437.C133 1534M

1538L 1508116661.72 8725553653.P211

M (2) 4878 5444046123 6965376721. C208 1538M

1542L (2,514M) 293171209.775241 2975359697.340 0665543115 3696530841 7882742061.P98

M (6,514L) 55221 8538342469.

.6085412 4605879300 8390355358 3244932908 3330697289 6110069522 6000917581.P73 1542M

1546L (2) 9277.961613.8979169.28764877.1286673961.6144001889.2 0680804897.

.728 8814445552 8365833889.101 1593924653 3302029127 2490553669.P124 1546L

M 895 0276336541.P220

1550L (10M,50L,62L,310M) C181 1550L

M (2,10L,50M,62M,310L) 1062889 1724248390 7573395401.P155

1554L (6,14L,42M,74M,222L,518M) 15541.P127

M (2,14M,42L,74L,222M,518L) 21757.P126

1558L (2,38L,82M) 65437.2841793.374580 9992085397.P191

M (38M,82L) P217

1562L (2,22L,142M) 2 5706881578 7496849489.P191

M (22M,142L) 12497.777877.1462033.16684 6452443301 5165835133.

.10724437 0163207257 9384549789.8 2475057062 7639805612 1502653493.P113 1562M

43 Prime Factors 2LM

1566L (6,18L,54M,58M,174L,522M) 1005373.90 0238389553.8829 3718850941.P120

M (2,18M,54L,58L,174M,522L) 18793.1215 7153600764 8069609869.P125

1570L (10M,314M) 1814921.270 4723867921.3542 2803263041.P156

M (2,10L,314L) 7624643325 1064086729 3939564541.P159

1574L (2) 269405 2738902158 6346998869. C211 1574L

M 47221.406093.14121929.P220

1578L (2,526M) 10453 0192048153.892 7838381659 1944174173.

.468 3204796543 9291625888 2359560461.

.35467094 6519485416 0033142201 4320230649.P52 1578L

M (6,526L) 17759209 5535805413.

.20 9464891971 0495444443 7215756673 9020805493.P99 1578M

1582L (14L,226L) 113*.6329.9439548 3835364237.36264833 5437701461. C162 1582L

M (2,14M,226M) 85429.116163097.P190

1586L (26M,122M) 58 2049312001.2696945568 5328761021.

.5023403461 3693973669 5391222101.C156 1586L

M (2,26L,122L) 179846057.4 7708294713.3 3858360265 7402514494 7910893473.C168 1586M

1590L (2,10L,30M,106L,318M,530M) 27087241.137 3040346921.528 4407007801.

.12102 6987163239 4075226641.683 6077201751 4019201011 1693752601.P36 1590L

M (6,10M,30L,106M,318L,530L) 19081.184441.24 2298446941 1281887781.P95

1594L (2) 2097515909.36412924 1317395157.P213

M 113 1019499249.P228

1598L (34L,94L) 41549.290837.714233205 5234648333.60 9921721390 1879740081. C171 1598L

M (2,34M,94M) 51137.5394672221. C208 1598M

1602L (6,18L,178L,534M) 6565668841.153 9976855861.7291145136 9675792637.

.39452 4570331222 2053852257.P93 1602L

M (2,18M,178M,534L) 141709 7471440314 4763101597.P134

1606L (2,22L,146M) 50219621.180841 8581560889.9038881 6400944269 3590288077.

.1482 3385060322 2287090602 2459128577.

.337779 7747004568 1645557709 2228603627 7331973019 9908653015 4776370553.P69 1606L

M (22M,146L) 19273.286208370 1562715653. C194 1606M

1610L (2,10L,14M,46M,70L,230L,322M) 1581 4901312337 2670109481. C136 1610L

M (10M,14L,46L,70M,230M,322L) 621630 3835549501.P144

1614L (6,538M) 416413.2621137.962643 8461997334 0856520087 7781060429.P113

M (2,538L) 16141.3 0701107729.4 3932915373.186817 1919242953.

.91457 0427675304 3118965104 6038377293 5570463409.P77 1614M

1618L C244 1618L

M (2) 6473.25889.1948073.766 0242424577. C216 1618M

1622L (2) 22 6993790701.12037536 1925202961.P215

M 5336381.11 7806318814 0768549097. C217 1622M

1626L (2,542M) 27 3883482277.248687 3948884993.1987797 1769884103 5284255913.

.1661993 6712434380 1725628125 6149910093.P74 1626L

M (6,542L) 3253.78049.1593481.1475273053.834 7879842927 0328887973.

.730442198 5500357410 3778189733.

.4713405292 6612163989 8467235349 7652737173.P47 1626M

1630L (10M,326M) 45641.1962 3929709044 6416678541.

.3707 6424065708 2911483339 3150344141.P134 1630L

M (2,10L,326L) 9248621.7627588261. C179 1630M

1634L (38M,86M) 2091521.1588 6294883461.52857485 2074138628 2105949513.

.11811951 2185488716 7363897603 1338702013.C143 1634L

M (2,38L,86L) 382357.6052337.6483713.11637349.17147197.P195

1638L (2,14M,18M,26L,42L,78M,126M,182L,234L,546M) 507781.6224401.P118

M (6,14L,18L,26M,42M,78L,126L,182M,234M,546L) P130

1642L (2) 44108537 9960554789.356378849 9594419652 9088746931 7261822121. C191 1642L

M C248 1642M

1646L 19753.17678041.284732405 7582181573 6340752613. C208 1646L

M (2) 9 2450958736 9596772157.P227

1650L (6,10M,22M,30L,50L,66L,110L,150M,330M,550M)

1 6434207431 5726836781 9887402736 8959224606 4114457301.P71

M (2,10L,22L,30M,50M,66M,110M,150L,330L,550L) 4221 7104570301.P107

2LM Prime Factors 44

1654L (2) 36389.148861.2312293.130582063 4475181105 8406244617 1193488957. C195 1654L

M 5049 3458584097.29159990 7662880149.

.1850744891 8242328920 1833006002 3474649953.C179 1654M

1658L (2) 4 6423551258 4146182617.479 3292494340 1576083773 5948908881. C196 1658L

M 382517367 8485409449.798383862 1160200177.126244 5993282597 2330038421.C187 1658M

1662L (6,554M) 9973.112547 0603488333.5168911 4452666429.

.6765 6963630265 7152854889.487914335 8841744634 8843198811 2971564897.P68 1662L

M (2,554L) 17102862 5446956073.P150

1666L (14L,34L,98L,238L) 16661.46649.186837 1709557081.2037804 9054645577.

.1 9934400409 9971410597.C142 1666L

M (2,14M,34M,98M,238M) 73500589.2 6980673413.44070 3752018377.P170

1670L (2,10L,334M) 430861.3154569881.784 6415030381.226 2560496806 0184427321.

.22620 8688276668 7062334641.P126 1670L

M (10M,334L) C200 1670M

1674L (2,18M,54L,62M,186L,558M) 70309.4081213.1297451663 4838800437 25\

85629729 4610187704 3623666861 8624801380 8494382873.P83 1674L

M (6,18L,54M,62L,186M,558L) 789059989.P154

1678L 5564249.279387989 9538857933.19 3385004980 0281022877 1062564557. C197 1678L

M (2) C252 1678M

1682L (58M) C245 1682L

M (2,58L) 366677.3727313.1 3866300353.21 3360835453.112751 8158768077.P196

1686L (2,562M) 220 6057267849. C157 1686L

M (6,562L) 599 9663863513.P156

1690L (2,10L,26L,130M,338M) 1165339501.3 3339812607 8661934421.

.10951196 9015345344 9285075581 0091411261.

.8500591978 2424732499 2958915563 7812362821.P82 1690L

M (10M,26M,130L,338L) C188 1690M

1694L (14L,22M,154M,242L) 29018221.3432510 2334425943 0080136457. C165 1694L

M (2,14M,22L,154L,242M) 908695481.6202401437.1 3560087157. C170 1694M

1698L (6,566M) 3830689.53028541.4 5039969589.240389 8139108413.

.969 4344887494 3589381509.P106 1698L

M (2,566L) 526381.2212378537.11362 0361303857.P142

1702L (2,46M,74L) 4503 9598473904 9729770917.P216

M (46L,74M) 3466225121.P229

1706L (2) 3413.6400 7056091437.11220 4777245919 7542365557.

.36703 0097325207 3917081977.P191 1706L

M 5756 8727236201. C244 1706M

1710L (6,10M,18L,30L,38M,90M,114L,190L,342M,570M) 110017981.848129221.P113

M (2,10L,18M,30M,38L,90L,114M,190M,342L,570L) P131

1714L 470 2664630197.687116 9125116761.885967172 7690991421.

.5115816399 1710264101.C191 1714L

M (2) 74 9049563091 7903672489.1 1126109198 0665826640 6382986993.

.37254915 6813182753 4533903134 0236801161.C168 1714M

1718L (2) 82488053.16078331 7963711097. C233 1718L

M 41233.18970157. C247 1718M

1722L (2,14M,42L,82M,246L,574M) 2675989.P138

M (6,14L,42M,82L,246M,574L) 44773.82657.

.11226524 8764087750 7314303370 4082858121.P99 1722M

1726L 62137.7682681449.1 2118208029.763630255 0869852997. C217 1726L

M (2) 1 2268162909.419 0110941193.417348122 2362374186 1146169997.

.466192553 6696232816 7412700221.406 7668372125 0447980411 4509779153.C147 1726M

1730L (10M,346M) 13841. C203 1730L

M (2,10L,346L) 3461.2971 9705251742 9014237901.

.155 2399882742 1659308916 4596199061.P149 1730M

1734L (2,34M,102L,578M) 3469.38149. C156 1734L

M (6,34L,102M,578L) 83233.6713 3458080301.1528653 1841496313.

.7608711 4479348013.P112 1734M

1738L (2,22L,158M) 79 9762458411 2404969201 4336050829.P204

M (22M,158L) 10429.59093.7944509 0933123827 2563227097.P199

1742L (26M,134M) P239

M (2,26L,134L) 48291969 9751741253.P222

45 Prime Factors 2LM

1746L (6,18L,194L,582M) 37688510 9765881657.P157

M (2,18M,194M,582L) 191815 8604951126 1238746281.4143848071 5993428\

321 8955265719 3683851218 1490551329 9886523802 9290237501.P79 1746M

1750L (2,10L,14M,50M,70L,250L,350M) 21001.9 0984652501.25 9213867501.

.6676 9116536501.P141 1750L

M (10M,14L,50L,70M,250M,350L) 52501.304501.P171

1754L (2) 136813.1 6485685958 3180674917 0663916587 3936208073.P218

M 178909.8045864609.9417793 1835255001. C232 1754M

1758L (6,586M) 3517.17581. C168 1758L

M (2,586L) 70321.3681253.14657513 1031645722 2898312721.

.786189 1256042908 1743555453 6817956201.P102 1758M

1762L 292493.28 7799987821. C249 1762L

M (2) 990 8497304929.307035208 6706435689. C234 1762M

1766L (2) 3533.10597. C258 1766L

M 964 2835106981.2185377 3066679313.1 3979979007 1422647276 1369661333. C207 1766M

1770L (2,10L,30M,118L,354M,590M) 941641.11268837 6490130041.

.139580 7887176569 5340080761.P91 1770L

M (6,10M,30L,118M,354L,590L) P141

1774L 1982764321.99823632 1929970175 5701813517.

.2047754087 0008203492 9780944374 3844453329.

.1 3231286310 6351947609 7521600388 6759010777.P151 1774L

M (2) 1 2067954321.15 4247171201.2463066613 8322356361 9590775949. C216 1774M

1778L (14L,254L) 394717.2901290617. C213 1778L

M (2,14M,254M) 3557.430277.2 8402945481. C209 1778M

1782L (2,18M,22L,54L,66M,162M,198L,594M) 120726937.21214076 6502632881. C138 1782L

M (6,18L,22M,54M,66L,162L,198M,594L) 2170477.16 8518034037. C145 1782M

1786L (2,38L,94M) 3639869.9996485 7407017112 4601432769.

.4974034658 5637200944 6461144453.

.111758423 6152569441 9365496374 9427567569.C149 1786L

M (38M,94L) 64610910 8522520037.55737 2162280512 9716149437 9261805713.P197

1790L (10M,358M) 3581.811893881.42 7270019072 4544357721.

.682 8621875125 4105873454 9287082001.P147 1790L

M (2,10L,358L) 94622981.98 1882367518 3373550041.

.6712771762 6926033400 4380493401.C156 1790M

1794L (6,26M,46L,78L,138M,598M) 7177.P156

M (2,26L,46M,78M,138L,598L) 1 0684568857. C149 1794M

1798L (2,58L,62M) 7193.361 7439859037.871 3454341549.10909732 9238284141. C207 1798L

M (58M,62L) 5886653.2 0723877457.4387 5868248089.

.395743645 7200158642 4595746349.C194 1798M

1802L (2,34M,106L) 1 1747392973.9110252886 2545665457.P221

M (34L,106M) 1 7404474841 0668549457.2 2420155115 0113268933.P210

1806L (6,14L,42M,86M,258L,602M) 3613.94673605 6883069749 5500595457.

.45757320 4786188957 4760460788 9547060541.P83 1806L

M (2,14M,42L,86L,258M,602L) 4 4619686161. C141 1806M

1810L (10M,362M) 1422661.10371301.62984381.28 4154643710 6680644141.

.100 6732826659 1076916445 6015319401.P142 1810L

M (2,10L,362L) 4779887821.2849605 3816048645 4165307301.

.1486018 6078885510 5188249397 5787406621.P145 1810M

1814L (2) 3668496846 8392674349.2673015381 2108005624 7956934369.P224

M 2856279634 5198906589 8962757608 4877545889. C234 1814M

1818L (2,18M,202L,606M) 938089.215403913.5 4459411697.P156

M (6,18L,202M,606L) 3637.1123 9182354817.8971 8779799289.P151

1822L 109321.425142355 1809614901 5446235113. C241 1822L

M (2) 29153. C270 1822M

1826L (22M,166M) 10957.45790 5185813813.91184258 1496373502 0084050069.

.758984 0452397654 1436629048 0154514089.C164 1826L

M (2,22L,166L) 43734285 7760433461.31 7222916436 0447585086 1201188341. C199 1826M

1830L (2,10L,30M,122L,366M,610M) 1712881.

.20 9286094074 5803182883 4469293721 8868614221.P97 1830L

M (6,10M,30L,122M,366L,610L) 61*.358681.60 2914116781.

.239709650 4835438921.891353666 8445303976 2936076301.P79 1830M

2LM Prime Factors 46

1834L (2,14M,262L) 18341.73361.106373.337457.60248 1460214341. C201 1834L

M (14L,262M) 55021.1114247 9091341921.965 7869720881 8436822981.

.7300 3974537421 9638260113.37 4470279013 1438125451 2721318017.

.639 7455842917 2886375165 8159947413.P103 1834M

1838L 15174529.150 8449364353. C258 1838L

M (2) 3677.169097.270 3022685717.107184730 0685268733.

.2 4567747366 2707941744 9898904657.P207 1838M

1842L (6,614M) 29031 5765280701 4132222997.P160

M (2,614L) 14737.202621.670489.1924167937.202 7744067215 7064961857.P138

1846L (2,26L,142M) 38286041. C246 1846L

M (26M,142L) 13837 6938119008 7160771760 0062424369. C219 1846M

1850L (2,10L,50M,74L,370M) 3701.13388 6258536001.5906 6306786091 1343898701.

.866200444 5033072182 4640851652 0037907601.P137 1850L

M (10M,50L,74M,370L) 3760458001.931271 8358338301.P192

1854L (6,18L,206L,618M) 40184 1732395629.10 0171655023 0646020039 1243108137.P139

M (2,18M,206M,618L) 3709.7417.9 3097809073.

.15697920 1172750734 8633846956 7634384633.P129 1854M

1858L 11149.319577.55 1019709753.46098324 5870707915 1039619761.

.1020789 6739874837 1466943848 5415945837.P195 1858L

M (2) 7433.85469.858397.P265

1862L (2,14M,38L,98M,266L) 4639388993.2 2772885633.11 4089637061. C197 1862L

M (14L,38M,98L,266M) 11173. C224 1862M

1866L (2,622M) 3733.17962117.20408283 4247639533.

.2867 1342390587 2507744487 0925351109.

.17178784 6178241745 3882917516 8754535913 5893624733.P79 1866L

M (6,622L) 14929.315820022 8129208463 3680717617.P154

1870L (10M,22M,34L,110L,170M,374M) 70696 0763753201. C179 1870L

M (2,10L,22L,34M,110M,170L,374L) C193 1870M

1874L 54628974 7242387833.1 0233844988 9938893229. C245 1874L

M (2) 802073.3021 4971197129.52470 4862656309.1 0821538743 6410988313.P228

1878L (2,626M) 3651421693.1532046597 2148157576 0771776889.P150

M (6,626L) 120193.2 3208500533.48489 4051077157.4 7954220275 1565609741.

.21514 2887116327 9364744084 0947984309.P103 1878M

1882L (2) 3383837.2 5359946237.20793657 8270812095 3451296108 0066477973.P229

M 107091347 9895698609. C266 1882M

1886L (46L,82L) 11 2410858169.3636841 3831997333.P237

M (2,46M,82M) 27842 5441482834 6243382561. C241 1886M

1890L (6,10M,14L,18L,30L,42M,54M,70M,90M,126L,210L,270L,378M,630M) 7561.

.457381.2143261.59 6526861195 2336627502 0034072662 4395569101.P73 1890L

M (2,10L,14M,18M,30M,42L,54L,70L,90L,126M,210M,270M,378L,630L)

438878 8818757216 5151544641.5 3557082595 1261650430 9415704562 8806518641.P64

1894L (2) 189401.1440383213.82046165 8285708924 6514152381.P243

M 6522937.27227 9643245537.8211191 0523258230 1742102514 1068065597. C227 1894M

1898L (2,26L,146M) 1039 0402230053.1855718691 2404416485 3371079021. C219 1898L

M (26M,146L) 3797. C257 1898M

1902L (6,634M) 28927767 7120944777 0340654201.P163

M (2,634L) 15217.3 1877128189.77 8680603097.348 8331309973.

.270 6957159237 2896954201.P130 1902M

1906L 2 0405494957.P277

M (2) 280 9306768001. C274 1906M

1910L (2,10L,382M) 1443961.92459281.P216

M (10M,382L) 57301.86418 9637596221.3010396359 5594195541 6398544601. C180 1910M

1914L (2,22L,58L,66M,174M,638M) 8 4044040003 6193222729.

.1 0854499687 5912509332 9919224369.

.1585333835 4628292314 3815178814 8865056453.P78 1914L

M (6,22M,58M,66L,174L,638L) 15313. C165 1914M

1918L (14L,274L) 7673.60 9014465221.505 5546728233. C218 1918L

M (2,14M,274M) 16838 8835672177. C232 1918M

1922L (62L) 113 7450670721.218426972 4947805073. C250 1922L

M (2,62M) 252792973.864219613.948729953.37 5413585060 7547825823 6735332361.

.64570584 1686279454 4810962432 8792927541.C185 1922M

47 Prime Factors 2LM

1926L (2,18M,214L,642M) P192

M (6,18L,214M,642L) 3853. C189 1926M

1930L (2,10L,386M) 1246781.1608921341.356855 3151401081.

.5955 6235681407 7003389587 6543735621.P168 1930L

M (10M,386L) 23249 2081623941.839271 0322562681. C201 1930M

1934L 328781.12056557.P279

M (2) 47054221. C283 1934M

1938L (6,34L,38M,102M,114L,646M) 3877.19381.1279081.

.12774353 3939839455 2179571323 4563738297.

.16750182 0732112305 5631039542 0299476529.P86 1938L

M (2,34M,38L,102L,114M,646L) 9262825170 0788924312 8982867521.

.364 8011488087 2169169501 5068296639 8143704581.P101 1938M

1942L (2) 587761 2181049269.6917838 0045680078 8093836015 1147285081.P239

M 19421. C289 1942M

1946L (2,14M,278L) 38921.87632273.92220941.4484 9676017189.

.2 6843568092 4488592979 4686184069.C186 1946L

M (14L,278M) 21856 1316364553. C235 1946M

1950L (6,10M,26M,30L,50L,78L,130L,150M,390M,650M) 2 4457095001.P134

M (2,10L,26L,30M,50M,78M,130M,150L,390L,650L) 45984901.

.113 1816004801.10879245 7407671701.P108 1950M

1954L 3 6716449417.4 1531393372 4293297909.P263

M (2) C294 1954M

1958L (2,22L,178M) 10984381.1749046157.1 2769069589.

.85404637 9085368610 6162888141.P211 1958L

M (22M,178L) 3917.4135297.21467513.5 7717951413.29085 7646356157.P222

1962L (2,18M,218L,654M) 109*.1 7951056093.66965 7070334773.P168

M (6,18L,218M,654L) 4 9346313013.138 8612680921. C173 1962M

1966L 4364 4426217789.143174 6688753709.P268

M (2) 1 5583712898 7432356781.13661750 4889755166 2825186361.

.1323103 7606141473 3289721369 8137697413.P212 1966M

1970L (10M,394M) 15761.35461.2214281.4645 6860714927 5146234181.

.5818878994 7086492200 7450289381.C168 1970L

M (2,10L,394L) P237

1974L (2,14M,42L,94M,282L,658M) 57174937.2886085 7283150817.P142

M (6,14L,42M,94L,282M,658L) 6170683 6445096809.P150

1978L (2,46M,86L) 7876397. C272 1978L

M (46L,86M) 43977 1371096041.3504984 0713898433.

.4633 6564105264 1569312191 4056962535 9563486333.C203 1978M

1982L 47569.70297227 3668806189.2410896648 7910875313.

.4422941592 6893141209.1 1344799636 3645096441.P217 1982L

M (2) 27749.6348867 7307778109.168256196 2574792274 5475011329. C249 1982M

1986L (6,662M) 13302229.2543 0936011753.316144 7698923102 9379232557.

.68 9059703375 6118343746 2555868709.3973 9212581763 2305632150 8940165661.

.1314098 7161755954 8389813979 9716487493.P51 1986L

M (2,662L) 18 3625814209.101876 8450523377.7451918 9014953913.

.189893726 3117703473 2892899753.4651772869 9643022616 0539394957.

.617 6800575595 2552277868 0709413533.P66 1986M

1990L (2,10L,398M) 250741. C234 1990L

M (10M,398L) 231982047 2567208103 4655436981.

.36016 1483551397 1124894008 0869144201.C176 1990M

1994L (2) 3989.23929.1316041.7905228953.4 5051620043 0246120721.

.149156643 1812993101 9226430757 7506850757.P217 1994L

M P301

1998L (6,18L,54M,74M,222L,666M) 7 2354413161.122255 3230560433.

.5735 5514603785 0219879651 2243143473.

.549 7368458116 1801932334 0469462329 9228824873.P93 1998L

M (2,18M,54L,74L,222M,666L) 1012600 1691430741.38259822 8266336189. C162 1998M

2LM Prime Factors 48

2002L (14L,22M,26M,154M,182M,286L) 20021.1849849.690545857.

.4108028059 2351540541.92151 9484665138 9888428137.

.3969 8622896633 6374287213 4096701517.

.136 2884098660 4456625675 6210318917 4956869669 4946387077.P68 2002L

M (2,14M,22L,26L,154L,182L,286M) 8009.1203988 4736627749. C197 2002M

2006L (2,34M,118L) C280 2006L

M (34L,118M) 4013. C276 2006M

2010L (2,10L,30M,134L,402M,670M) 1161781.4371458967 1758035101.

.7202139206 8090524007 1420322773 6498330521.P93 2010L

M (6,10M,30L,134M,402L,670L) 4021.655261.131 5427340838 1894504101.P129

2014L (38M,106M) 2 3704361089.234 5207504177.445 9814982973 7613346817.P237

M (2,38L,106L) 2211373.2743 4003249209 2993407274 7900058453.P243

2018L 12109. C300 2018L

M (2) 242161.95295 7298276617. C283 2018M

2022L (2,674M) 8089.3546589.292 2737792281.31810 7521626142 9729586653.P156

M (6,674L) 7372 6793191951 3717708801.

.397490855 7331136306 1334863000 3685291009.

.17097 0754136725 7221599398 0526641799 8571170101.P96 2022M

2026L (2) 33449261.2 6448400472 9713012553.3 9932118604 9288505641.

.95 6936627523 6970401002 4800387723 7301005401.P214 2026L

M C305 2026M

2030L (10M,14L,58M,70M,290L,406M) 613061.85 5973658058 0153115140 5792561041.C165 2030L

M (2,10L,14M,58L,70L,290M,406L) 36541.357281.P192

2034L (6,18L,226L,678M) 407785 0171122577. C187 2034L

M (2,18M,226M,678L) 856216369.31813201 5893843401.

.211472 7155940020 4090224749.454 3998009580 3046421776 1866249437.

.1065 8564036715 2826352587 0130273753.P85 2034M

2038L (2) 61141.207877.715089 7365985729.2230303 5355268668 7144432969.P254

M C307 2038M

2042L (2) C307 2042L

M 88557457. C300 2042M

2046L (6,22M,62L,66L,186M,682M) 4093.1030 8836566117.9 0926250176 0934950641.C144 2046L

M (2,22L,62M,66M,186L,682L) 43 1919189109.459 8203364409 3624122893.P146

2050L (10M,50L,82L,410M) 65640072 0309944201.

.39701 6399433632 3235291540 8020280101.C189 2050L

M (2,10L,50M,82M,410L) 3527365301.P232

2054L (2,26L,158M) 308101.24775349.10574824 1031224273.

.24187 8371050090 9277623355 0365107217.P218 2054L

M (26M,158L) 482805 0703567261.P266

2058L (2,14M,42L,98M,294L,686M) 127597.768755496 0386019181.

.5200377099 1385964409.2 2585643798 1597749889 8119074673.

.359714423 3806004789 4034023690 4806333157.P65 2058L

M (6,14L,42M,98L,294M,686L) 3346309.541700782 1989854721.P152

2062L 181457. C306 2062L

M (2) 32993. C306 2062M

2066L 622097393.1606410037.23023097 6895361670 5880653781. C266 2066L

M (2) 4133.78509.764610073. C293 2066M

2070L (2,10L,18M,30M,46M,90L,138L,230L,414M,690M) C160 2070L

M (6,10M,18L,30L,46L,90M,138M,230M,414L,690L) 12421.45541. C150 2070M

2074L (2,34M,122L) 8297.4674797.1 4475794101.95 1533052762 0650472517.

.423 0823502924 7467507951 1971763937.P215 2074L

M (34L,122M) 24889.67591661.1 9245413381.

.28 5076753950 1642620937 9265459437.108418 7766981138 1401617266 8034087889.

.2 9372667805 5166201614 6400123006 3579445161.C160 2074M

2078L 4157.47577889.257 8233152295 1529761073.5076444 8802478773 4242019373.

.144 8814932402 4190026923 2403148013.C221 2078L

M (2) C313 2078M

2082L (6,694M) 6071113.4228 8273231097.92071 1247257749.5622906567 5693116237.

.2338 4866763414 5317702040 8848488764 7243643341.

.62 1220849879 1522443680 8604640578 8655164207 4217423393.P58 2082L

M (2,694L) 8329.112429.1557337.59 2686737569.686757489 0898053457.P164

49 Prime Factors 2LM

2086L (2,14M,298L) 12517.33377.19885782 7144683169.

.1926620590 0335123711 6611761079 6118373573.C203 2086L

M (14L,298M) C268 2086M

2090L (2,10L,22L,38L,110M,190M,418M) 6029645821.P207

M (10M,22M,38M,110L,190L,418L) 14145855 0058771977 5570810281. C191 2090M

2094L (6,698M) 2065299637.4056 2442707197.961768 7207378317.P171

M (2,698L) C211 2094M

2098L 4640777.8 3011968817. C299 2098L

M (2) 12590 8547566485 5151668402 1495487769. C281 2098M

2102L (2) 92489.2030533.2076 1985532007 9870004881. C282 2102L

M 1513441.77933753.12000321 7560112501.P286

2106L (2,18M,26L,54L,78M,162M,234L,702M) 511421041. C187 2106L

M (6,18L,26M,54M,78L,162L,234M,702L) 15093 7180544593.

.236405 4339672174 2414157469.P156 2106M

2110L (10M,422M) 7313261.106 0955698661.82077746 8994193745 9483922881.P206

M (2,10L,422L) 274301.163031261.351892 0881831461.

.7798 2410261295 0382766003 7110146961.C191 2110M

2114L (14L,302L) 36460926 0198900118 6525363589.

.46407610 2764674407 8078433234 8683797989.P206 2114L

M (2,14M,302M) 4229.9817417.1 3093972249.2523290 9840405836 4830457653.

.10639761 3479021315 3556087433.C198 2114M

2118L (2,706M) 155 9123581453.804 2292377740 5534042337. C178 2118L

M (6,706L) 2750 3548942141.2885 2995339693 2728560877 8291701629.P165

2122L (2) 49459577.230876 6446154677.P296

M 434974 7973698382 8850647753.P294

2126L 4253.119057.2351357.11 8640804957.P294

M (2) 6262064969.517 9922696689 3295289509.51 1143585327 5815318287 6066459473.

.1603777 1529008275 2160797640 2498110749.C219 2126M

2130L (6,10M,30L,142L,426M,710M) 4261.46861.149101.77554852 2986795641.

.144 3478900141 4900976541.P116 2130L

M (2,10L,30M,142M,426L,710L) 8521.9883201.

.935670834 1910203415 1484227581 7603083341.

.80586333 7960228852 9515205971 8287766410 3305518701.P71 2130M

2134L (2,22L,194M) 819457.P284

M (22M,194L) 115237.8670835 6421489792 1071559504 3749314093.P247

2138L (2) 25657.12099 5596673449.397 6951537340 2823701741.

.256283024 5526970093 6935750561.P252 2138L

M 99 0069351973 1369541341.59623715 9037766664 0968613768 2448042581.P263

2142L (6,14L,18L,34L,42M,102M,126L,238L,306L,714M)

94 6553751623 3995317524 3922917053.1678 0124011097 5934969711 1520625113.

.1 0884302810 4327227902 7253298133 3469685512 7583727517.P58 2142L

M (2,14M,18M,34M,42L,102L,126M,238M,306M,714L) 4198321. C168 2142M

2146L (58M,74M) 5240533.1179926597.25 8921638441.689909930 4599325137. C258 2146L

M (2,58L,74L) 10554029.17507069.41 3985642257 5882915981. C268 2146M

2150L (2,10L,50M,86L,430M) 7480658401.P243

M (10M,50L,86M,430L) 4841801.839549620 6695366401. C228 2150M

2154L (2,718M) 8193817.P210

M (6,718L) 4133482921.198349 5403218423 4326547315 8857156629. C171 2154M

2158L (26M,166M) C296 2158L

M (2,26L,166L) 1281853.46 8324126295 2304822589.

.12168 6964481951 5145377777.C245 2158M

2162L (46L,94L) 12973.1522049.10797029.77 7589754233.14424491 4186471029. C258 2162L

M (2,46M,94M) 84032617. C298 2162M

2166L (2,38L,114M,722M) 108301. C201 2166L

M (6,38M,114L,722L) 5716032168 9457349811 1230101335 1337476653.P167

2170L (2,10L,14M,62M,70L,310L,434M) 156241.3670177421.

.14 7099130461 4750173667 3218448905 1451254241.C161 2170L

M (10M,14L,62L,70M,310M,434L) 34721.399281.16999781.54627581.P192

2174L 1 8241890517.2 8221633169.479234 3120992181.621587188 3210370333. C273 2174L

M (2) 4349.182617.887735509. C309 2174M

2LM Prime Factors 50

2178L (6,18L,22M,66L,198M,242L,726M) 7692697.15891 4152241813.

.7550844860 4296462305 3695739861.P148 2178L

M (2,18M,22L,66M,198L,242M,726L) 4357.1028017.21366181.

.10574526 3384890463 3973879093.P155 2178M

2182L (2) 13093.2305 8378159152 9788399739 8826188721.P291

M 2070456161.120685 0555657249.4759 8904612156 3895183917. C281 2182M

2186L (2) 13155349. C322 2186L

M 4373.2680084093.76 5052415354 5491153109. C295 2186M

2190L (6,10M,30L,146L,438M,730M) 25 0975213261. C163 2190L

M (2,10L,30M,146M,438L,730L) 48906 0866029466 3498626741.P148

2194L 4541645821.8789434 3384213957. C304 2194L

M (2) 114089.79321877.2724439 6967751097. C301 2194M

2198L (2,14M,314L) 4397.35062 7949550178 3659675282 6831321813.

.2659583415 8560420531 6387778199 1246706041.C205 2198L

M (14L,314M) 30773.3064013.P271

2202L (2,734M) 4020 1011439837.383123 2706825413.3 7490072724 8428800313. C172 2202L

M (6,734L) 7170258097.P210

2206L 132361.2368783 4930522629.10 2885297975 2817834773. C290 2206L

M (2) 525029.3719161618 5794836393.6974 9021051575 5486688501.

.1659188 7574124107 2476219693.C256 2206M

2210L (10M,26M,34L,130L,170M,442M) 9007961.5 9234660941.3179 5116701141.

.3237 4193806536 0073352861.P177 2210L

M (2,10L,26L,34M,130M,170L,442L) 113850361.406 7383975981. C211 2210M

2214L (2,18M,54L,82M,246L,738M) 7560043 1606582156 4119228881. C190 2214L

M (6,18L,54M,82L,246M,738L) 36336169. C210 2214M

2218L (2) 13309.3828205897.629543 8698503197.

.65811 0836012601 2651927237 8671163489.

.2377 5104651520 0022900753 5692597546 8138328933.P226 2218L

M 115337.88419424 2639628957.4350 1442552183 8380022061.

.312783 0276794379 4898000377.C262 2218M

2222L (22M,202M) 17353 6925472691 0741771239 8470333081.

.600642331 0035789442 9034365935 4472393377.C228 2222L

M (2,22L,202L) 679933.10576721. C289 2222M

2226L (6,14L,42M,106M,318L,742M) C189 2226L

M (2,14M,42L,106L,318M,742L) 347257.28 6867892221.105 7320723649.

.30131 9905573933.C144 2226M

2230L (2,10L,446M) 16399421.873128131 2998970738 9666674041. C232 2230L

M (10M,446L) 829561.1016881.81345941.749 2614787462 2258725821. C225 2230M

2234L (2) 67021.2 5078232910 4747870229.2 8020761784 5230614289.P290

M 40213.71514809.P324

2238L (6,746M) 22381.2957625513 0269968537. C200 2238L

M (2,746L) 9985563919 2179303214 2257083493.

.8188933 8246606129 8453585018 1113325193.C158 2238M

2242L (38M,118M) 120 4142232740 7135159361.51523 5862481876 2552412257. C268 2242L

M (2,38L,118L) 341851193.P307

2246L (2) 40429.722411327 1397534157.3 5894422523 9163622577. C294 2246L

M 4493.597437.115 7722594009.590 3190099601.2423375 9097340549. C288 2246M

2250L (2,10L,18M,30M,50M,90L,150L,250L,450M,750M) C181 2250L

M (6,10M,18L,30L,50L,90M,150M,250M,450L,750L) 1799059501.P172

2254L (14L,46L,98L,322L) 22541.108193.27088 9143560029.

.119 6993300107 9298510777.C233 2254L

M (2,14M,46M,98M,322M) 1065 1266956177.27 9652179650 9427468413.

.1774 4065273182 2006259181.P221 2254M

2258L 279811361.P332

M (2) 4517.3168 7253327909.8 4586074304 1780788841.

.3168 9619800272 7067577290 3049581441.

.610169 7975058520 6316791292 9664486129.P232 2258M

2262L (2,26L,58L,78M,174M,754M) 9049.153817.22203793.5877527 9454393529. C169 2262L

M (6,26M,58M,78L,174L,754L) 22321 4314610724 8761501297.P179

51 Prime Factors 2LM

2266L (2,22L,206M) 13597.5791897.4 1143843577.

.10 0079652732 7590486747 1368225133.C255 2266L

M (22M,206L) 90641.13199 9104519176 2036137969.P278

2270L (10M,454M) 3979941061.34 1947385586 7959334298 9124400027 1614659521.P221

M (2,10L,454L) 514854161.185236 0842230441.

.1 1854787490 2859631596 5454808859 0829070481.C209 2270M

2274L (6,758M) 245593.P222

M (2,758L) 45194 2901656777.5070 1771025004 2219226541.P190

2278L (2,34M,134L) 82009.2924953.7198481.70 2133429141. C289 2278L

M (34L,134M) 57610621.102 6114653093.831 8132275894 9952160061. C275 2278M

2282L (2,14M,326L) 13693.3340849.1999940237.5021162189. C264 2282L

M (14L,326M) 873 4996205489.2 5408991048 2240077841.

.193 1620812742 9292514130 2977259421.P227 2282M

2286L (6,18L,254L,762M) 68581.30957013.241725 6810733215 9475316053.

.3698 3739239549 5196803418 1104581513 0322384077.P147 2286L

M (2,18M,254M,762L) 18289.662941.297 7460232013. C205 2286M

2290L (10M,458M) 1 8967080721.P264

M (2,10L,458L) 9161. C272 2290M

2294L (2,62M,74L) 16631501.1312893 0562413899 8115419201. C293 2294L

M (62L,74M) 18353.156129641.439447 2473673341 4934459601. C287 2294M

2298L (2,766M) 25 9324769473 1387242657.1485 4083433337 6678799373.P187

M (6,766L) 208951977 8841028073 1804361141. C202 2298M

2302L 7896 0215773801.173922 9066659377.143155 3193878885 1695592513. C293 2302L

M (2) 36833.5 8727643349.13321 7558269163 2116991109.P307

2306L 152197.67796401.48 7690428661.375990 3766572307 3967700902 7023959553.C287 2306L

M (2) 10 9361035361.108 3060417437.143 4915902261.85 5649152078 0190213657.

.6 3139288635 1551447405 1949065037.C259 2306M

2310L (2,10L,14M,22L,30M,42L,66M,70L,110M,154L,210M,330L,462M,770M)

40 7861310781.327654172 2830542321.

.235974018 3446742670 6706676657 4443414292 6705478881.P67 2310L

M (6,10M,14L,22M,30L,42M,66L,70M,110L,154M,210L,330M,462L,770L) 4621.

.46491061.17 0114256510 7331378341.9963931120 7533492973 6912485201.P82 2310M

2314L (2,26L,178M) 9257.P315

M (26M,178L) 217517.14647621. C306 2314M

2318L (38M,122M) 27817.679697869.437587747 1939948309.3 4409981495 3387082089.

.390994992 9551716434 0521270869.C244 2318L

M (2,38L,122L) 4637.152989.580881529.168 4427935189. C296 2318M

2322L (6,18L,54M,86M,258L,774M) 9 5851347301.3720964 5369951841.

.64960731 7463017978 2608508433.P173 2322L

M (2,18M,54L,86L,258M,774L) 595788049.1 0635930289.

.2017 3378451099 5734472837.P186 2322M

2326L (2) 37217.37453253.14154 2461666452 4411792669.

.1577053 0478516072 5584866573.C287 2326L

M 3402398369.12 1677098069 4514403493 6348279437.P310

2330L (2,10L,466M) 1558349678 0908814321. C261 2330L

M (10M,466L) 511 9669749897 9519481710 9952829201.

.8565602 4493588003 6865387384 5874585921.C210 2330M

2334L (6,778M) 2319997.2973517.3737551 7995862570 6510646037. C194 2334L

M (2,778L) C235 2334M

2338L (14L,334L) 1122241.1258 6300846981.217133097 1780639353 1167754789. C253 2338L

M (2,14M,334M) 14029.28057.254678341.P284

2342L (2) 13152673.238497064 7060589977.P327

M C353 2342M

2346L (2,34M,46M,102L,138L,782M) 84457.1468398937.7445 1396803531 4938427361.C174 2346L

M (6,34L,46L,102M,138M,782L) 41 6806406641.

.2931387851 5876516752 7809171241.P172 2346M

2350L (10M,50L,94L,470M) 263201.347801.24312 2046577775 2225890601.

.2834019 0045141787 2053764801.6 9116427912 1773919589 8769605801.P185 2350L

M (2,10L,50M,94M,470L) 1501 2093905101.521637 3323605901. C248 2350M

2354L (22M,214M) 103577. C314 2354L

M (2,22L,214L) 409597.5134243489.2696 7635413120 6198315742 1198040561. C271 2354M

2LM Prime Factors 52

2358L (2,18M,262L,786M) 9433.3051253.78997717. C217 2358L

M (6,18L,262M,786L) 80173.29853437 5738480187 3236775426 4926734261. C193 2358M

2362L (2) 80715019 6662013487 6289473357. C327 2362L

M 1369961.9178733.7493076529.746 8243693965 7249341097.P310

2366L (14L,26M,182M,338L) 8 1058592161.674942387 8264140893.P253

M (2,14M,26L,182L,338M) 14197.94190461.159195 0268614161.P255

2370L (6,10M,30L,158L,474M,790M) 31 0358259241. C177 2370L

M (2,10L,30M,158M,474L,790L) 2678101.

.3655 4166084726 6920227853 3979576601.C148 2370M

2374L (2) 9497.151937.1 9078157209.180496003 1905948702 0771408069. C309 2374L

M 383215829.140198 0222664869.P334

2378L (2,58L,82M) 71341.989249.1 9372762237.95 2283431069. C305 2378L

M (58M,82L) 409482089.1566641833 2748295461.191 6292182408 3567371081.

.59 6783231070 8464351988 9387415017.338 2565947665 6325784883 9493358293.P223 2378M

2382L (6,794M) 986149.407144 0539738430 3849864869 3671401041. C197 2382L

M (2,794L) 161977.228222 7514761573. C219 2382M

2386L 5 5665356141.619286426 3277076981.192760313 6574086642 6115587917. C302 2386L

M (2) 29373 1580424649.16 2420334396 1766495413.

.14128104 4414555356 7161915193.P296 2386M

2390L (2,10L,478M) 19121.33461.219881. C273 2390L

M (10M,478L) 2586 4061833661.4383 3713434081. C260 2390M

2394L (2,14M,18M,38L,42L,114M,126M,266L,342L,798M) 4789.

.5180 9220000840 2765133120 4969715053.P158 2394L

M (6,14L,18L,38M,42M,114L,126L,266M,342M,798L) 1140784093. C186 2394M

2398L (22M,218M) 23981.3995 1574500459 9788120518 1480047421.P287

M (2,22L,218L) C326 2398M

22h + 1 = L:M; L = 2h 􀀀 2k + 1; M = 2h + 2k + 1; h = 2k 􀀀 1:

2+(4k)

Factorizations of 2n + 1; n = 4k; n _ 1200

n Prime Factors

4 17

8 257

12 (4) 241

16 65537

20 (4) 61681

24 (8) 97.673

28 (4) 15790321

32 641.6700417

36 (4,12) 433.38737

40 (8) 4278255361

44 (4) 353.2931542417

48 (16) 193.22253377

52 (4) 858001.308761441

56 (8) 5153.5 4410972897

60 (4,12,20) 4562284561

64 274177.6728 0421310721

68 (4) 17*.354689.287 9347902817

72 (8,24) 577.48 7824887233

76 (4) 1217.148961.2451 7014940753

80 (16) 414721.4447 9210368001

84 (4,12,28) 3361.8 8959882481

88 (8) 229153.119782433.4 3872038849

92 (4) 2912800 0924361888 8211558641

96 (32) 1844674406 9414584321

100 (4,20) 401.340801.2787601.3173389601

104 (8) 789198817 2627109114 3763623681

108 (4,12,36) 33975937.13899 1501037953

112 (16) 449.2689.183076097.35842 9848460993

116 (4) 59393.822801951 6714411983 2390568177

120 (8,24,40) 394783681.4 6908728641

124 (4) 290657.3770202641.11 4162918040 1976895873

128 5964958 9127497217.57 0468920068 5129054721

132 (4,12,44) 7393.1761345169.9 8618273953

136 (8) 383521.236 8179743873.3 7320072247 0799764577

140 (4,20,28) 841798420 7765786201 1867889681

144 (16,48) 1153.6337.3 8941695937.27 8452876033

148 (4) 2098 8936657440 5864861512 6425661022 2593863921

152 (8) 27361.6939446 0463940481.116 9955781771 7358904481

156 (4,12,52) 841593759 4876209925 4554456081

160 (32) 3602561.94 4556849534 8456305599 1838558081

164 (4) 13121.8562191377.12243 8641224656 1215510639 2056552353

168 (8,24,56) 2017.2 5629623713.153859 5959564161

172 (4) 3855260977.6408215 0767423457.14253 4327510312 6327372769

176 (16) 5304641.27 5509565477 8488426047 7762382801 1666349761

180 (4,12,20,36,60) 16 8692292721.46977549 5062434961

184 (8) 4 3717618369.54967540 8461419937.39702 9956747290 2879791777

188 (4) 1198107457.2 3592342593.450194 6625921233.1 8135230685 2476069537

192 (64) 769.442499 8269453035 9355647316 4314770689

196 (4,28) 7057.273617.1007441.375327457.140 5628248417.36456 5561997841

200 (8,40) 1601.25601.82471201.432 3632031270 0288550654 3172618401

204 (4,12,68) 8161.40932193.146 7129352609.73753 9985835313

53

2+(4k) Prime Factors 54

208 (16) 928513.1 8558466369.2 3877647873.2131 6654212673.71566847 0267111297

212 (4) 1692645313.109 2051360401 8498900801.20 9460015914 2901219928 1424246257

216 (8,24,72) 209924353.4261383649.249290 6081826536 0451708193

220 (4,20,44) 109121.148721.3404676001.1103 5465708081.254671 7317681681

224 (32) 1677 7388527684 9215533569.37414 0571613223 7595740814 8834323969

228 (4,12,76) 90289.9036489073.290340571 6492099337 9000074993

232 (8) 929.5569.8353.39594977.P50

236 (4) 1889.11329.84961.765373489.P49

240 (16,48,80) 23041.P35

244 (4) 977.3 7831175201.48 8994002930 9876547089.P37

248 (8) 8929.P69

252 (4,12,28,36,84) 1009.21169.2627857.269389009.14 7520467919 0128571777

256 123892 6361552897.P62

260 (4,20,52) 42641.5746001.2400573761.6 5427463921.P27

264 (8,24,88) 1687508 1675650881.P32

268 (4) 75041.33380 8138537249.P61

272 (16) 5441.335631 8270467982 4541060373 0138717057.P38

276 (4,12,92) 57 7033894648 1798744593.P32

280 (8,40,56) 4481.557761.736961.P43

284 (4) 2273.1433633.P75

288 (32,96) 3457.816769.15 6298590135 0085709953.P28

292 (4) 1960288071 0043505617.P68

296 (8) 80513.P82

300 (4,12,20,60,100) P49

304 (16) 7798338113.17 9781388993.8488 5296460737.64396 6863870017.

.2736225 4540091201.2 3715782724 3967596481 304

308 (4,28,44) 13553.7 4153335873.P58

312 (8,24,104) 4993.94849.P50

316 (4) 504337.994769.P83

320 (64) 286721.446960641.9 6645260801.344240405 1886487041.P34

324 (4,12,36,108) 1297.3889.30433969.1164777409.371 8266498433.

.13492 1168163073.117402 9487714513 324

328 (8) 1223 9719573537.1809392703 9368350337.2539452441 5842506913.P45

332 (4) 11953.1476 7689550320 1728087421 7482806234 7720350769.P52

336 (16,48,112) 47886721.P51

340 (4,20,68) 1361.12717361.139 2971637361.80 8822074662 7020943841.P33

344 (8) 4129.P98

348 (4,12,116) 82129.1038947 6529713761.593 7202117116 4475019217.P24

352 (32) 1409.1258753.4 4199554137 8330835457.P67

356 (4) P106

360 (8,24,40,72,120) 8369281.P51

364 (4,28,52) 59391 4915675537.P72

368 (16) 7639 2570609857.1335 5703465746 3136395439 0476479681.P59

372 (4,12,124) 1489.29761.2241539 8357688737.P49

376 (8) 3308801.3853249.4 8707339993 9357470433.

.1638 7553063670 2837695009.26739 8978418337 8728255297.P30 376

380 (4,20,76) 3435950 2103163357 2415775800 0789490561.P51

384 (128) 3496218393 2692179569 4385454593.P48

388 (4) 25507121.P109

392 (8,56) 3137.50177.101921.258721.P83

396 (4,12,36,44,132) 31 1712063697.P61

400 (16,80) 339942637 7632056001.48504 8422208437 1979240001.P54

404 (4) 41266315 3396961075 2526181761.P93

408 (8,24,136) P78

412 (4) 454849.667441.40151873.5231 7884766401.14250 0609730433.P76

416 (32) 4940417.1 1342687617.P99

420 (4,12,20,28,60,84,140) 127681.1130641.755667361.P38

424 (8) 1697.P122

428 (4) 4209809.13012913.99200 5069953996 7220267559 7968630366 8059315249.P69

432 (16,48,144) 6801 6300334849.P73

55 Prime Factors 2+(4k)

436 (4) 598193.356953382 3352397266 9330604417.

.576694 8297623307 9456896113 9476826913.P60 436

440 (8,40,88) 47521.89119361.12 7886114126 2967442217 9666038021 5073025601.P43

444 (4,12,148) 92353.126097.532801.854257.8533723219 6804809313.P46

448 (64) 1489153.P110

452 (4) 9041.3050 0013280577.P118

456 (8,24,152) 145957459 4862075553.3205 0776819669 0588004609.P46

460 (4,20,92) 254 6972959095 7320495487 0539927521.P74

464 (16) 748264961.2245984577.23968 6663718401.159296 1959112752 0827829953.

.6033 3121717210 3503165131 5652130497.P44 464

468 (4,12,36,52,156) 1873.644 0452782193.62329318 2848475361.P53

472 (8) 253 4260503766 6235678081.P118

476 (4,28,68) 94994369.158 0019259393.11584665 1946400929.

.2488 1968815827 3413590473 3409191377.P45 476

480 (32,96,160) 26881.4855681.610548481.13 7603804161.P47

484 (4,44) 209089.33186913.1251287137.

.3860897986 9428210686 5593303626 3824535533 5498797441.P61 484

488 (8) 103581787 7926014488 5871338184 9197675938 9034764353.P97

492 (4,12,164) 62966161.P89

496 (16) 5953.251969.193 0185547865 5894221313.322063 5901036452 8536290817.

.1562 4307475317 8161302047 5545228900 7981717441.P45 496

500 (4,20,100) 4001.1074001.2020001.22624001.148 1124532001.P85

504 (8,24,56,72,168) 34273.P83

508 (4) 3108961.1 7664039857.3573 1996675882 4298104849.

.32843053 1712680864 6829056321.788293419 7421508722 9120114369.P55 508

512 2424833.745560282 5647884208 3373957362 0045491878 3366342657.P99

516 (4,12,172) 328177.359137.5254767099 6812050561.

.7 2774730365 0476041048 8618498577.P40 516

520 (8,40,104) 2081.1 9868746561.337754 9010888001.75 8082724184 3270677601.P65

524 (4) 127133 2666556177.364 4167415582 4796521521.

.88628235 1475389693 8587428147 2055436801.P81 524

528 (16,48,176) 1632064897.19050 7963147393.

.44250 6742691983 4420089898 1420091393.P39 528

532 (4,28,76) 169 2116131441.1 3906500625 6539545729.P98

536 (8) 4289.3115327 2309003500 2320027134 5885511764 4847166643 5989092897.P99

540 (4,12,20,36,60,108,180) 2161.21601.20 1519653761.111718 0440577441.P53

544 (32) 15233.143617.44 3069456129.P134

548 (4) 38226289.1 5164972751 7181655387 1728873921 9937057169.P116

552 (8,24,184) 267457249.P98

556 (4) 6673.777646171 1281745642 1627629713.

.1 7163190403 6503439779 0860195913 3030216639 1547109647 4850983729.P74 556

560 (16,80,112) 16824641.86800001.4039609 2614384641.

.408 0906523318 4155116161.P62 560

564 (4,12,188) 20177 7278450257.44094868 8323898986 4703786561.

.385730922 5717855030 7394862497.P41 564

568 (8) 1 4254355329.8037 7573236449.134254 6422242330 4875744449.

.110 9111337665 5556595890 9906794820 9967918198 9410614081.P68 568

572 (4,44,52) 145143857.31119525 1370951377.

.1614501 7838814448 7169581432 8568586673.P83 572

576 (64,192) 17047297.62 8582818817.P97

580 (4,20,116) 6961.9281.16785 9997042321.P113

584 (8) 3287118602 9052837857.797 7888172628 1213651073.P131

588 (4,12,28,84,196) 84673.26554 9217634074 7703865734 8986359282 7112366481.P52

592 (16) 3147 4859175390 1537351078 5605977687 6864094488 9135626234 09\

37740292 2304455233.P100 592

596 (4) P179

600 (8,24,40,120,200) 4801.55201.P88

604 (4) 2417.4363297.730685377.77 5168188161.P150

608 (32) 14593.671233.62006 6693671553.

.72 9570376075 1622529041 9063617993 8565056499 1530762069 0006389889.P87 608

612 (4,12,36,68,204) P116

2+(4k) Prime Factors 56

616 (8,56,88) 29569.110881.P135

620 (4,20,124) 63388 4052132076 3912823441.

.89722882 1320872623 7756413079 8255570662 1301549436 6305516001.P62 620

624 (16,48,208) 792584833.915584 1480185089.P91

628 (4) 7537.118528721.26 2400181553.9920 0032453479 3042722401.

.2 0605715069 8152191326 2536474503 8097331729.

.27743 3242225210 5329557117 8395744381 9730099281.P56 628

632 (8) 28 6297736737.

.471211 6689183015 6151548920 8246219513 3334266799 5318746814 8445645729.P111 632

636 (4,12,212) 12721.239372593.20830 6541869009.97147639 6313002897.P81

640 (128) 32 8841628134 9499632641.7 7716463174 7163559325 6655841281.P102

644 (4,28,92) 53632321.508 2941855495 8045844168 7901500833.

.1 8734888091 0146760908 2029530468 4135617056 1257966417.P69 644

648 (8,24,72,216) 10369.259201.18 2404536614 5909775041.

.5248 3309484962 4730914401.P76 648

652 (4) 2609.10433.1322257.28322881.P175

656 (16) 7873.47402561.59110035 0038949953.16 6857646900 5068046209.

.506060190 8322077796 9485027081 6882633281.P104 656

660 (4,12,20,44,60,132,220) 14736481.51 4210163281.

.6498176028 5228935860 5542163521.P48 660

664 (8) 35 0842855608 3287152033.P176

668 (4) 482851777.670297921.375283 4464863443 6546180783 8534613233.P147

672 (32,96,224) 494968321.663239809.

.292538440 0770993343 0495636452 6015576429 9463512577.P50 672

676 (4,52) 210913.47925697.455986337.17807 7806451169.P152

680 (8,40,136) 496304801.1 0008321601.3391 0825580641.

.101460 3201108417 2688350401.18741 4570270561 9946070176 8016571521.P63 680

684 (4,12,36,76,228) 12407761.1953842221 2886289080 8684507352 0488081169.P84

688 (16) 2753.1755145793.180 9020600362 0308180353.

.3 3744939642 0331471675 5629762689.

.7741132990 7915702977 8976698862 0315813737 6728020417.P87 688

692 (4) P208

696 (8,24,232) 75169.1185335329.217 5937261441.394 5720769057.

.4342075673 2422994369.2477160710 0529573152 7406385377.P47 696

700 (4,20,28,100,140) 2801.P142

704 (64) 602992598 4568982202 8046342401.

.3210843755 3243671192 5802775266 1239735297.P125 704

708 (4,12,236) 95 6468858444 3320317677 5508160481.P108

712 (8) 290497.59170049.9497407873.133 4056289569.

.2 5222813432 5499071202 0321975247 0337287201.P137 712

716 (4) 94513.1 0240246321.6249618 8903126496 0571243265 9622854257. C163 716

720 (16,48,80,144,240) 37441.170251201.3220 2927231899 7936286081.P80

724 (4) 2897.304081.55878 6628009681.1486 4310030218 9793374401.

.3289754 6684878017 5121210941 8730038529.P134 724

728 (8,56,104) 145601.9828001.3203 8310825249.P148

732 (4,12,244) P145

736 (32) 3689800577.669 9561451777.42889560 0365702401. C172 736

740 (4,20,148) 1744633866 5719151603 3932614401.P145

744 (8,24,248) 915 5618701647 8788158721.

.22955297 3887168678 2981597056 2685902250 6774757743 8438859809.P65 744

748 (4,44,68) 738395681.1699887 1173904049.

.19943 1288499235 1215831688 3777886467 9060668081.P124 748

752 (16) 4087873.481071690 7835700161.P197

756 (4,12,28,36,84,108,252) P131

760 (8,40,152) 3041.47782228 4525893121. C153 760

764 (4) 827467009. C220 764

768 (256) 21278001 5855109121.22208 4264428498 4664160257.

.17966 0292389934 2630768062 0195045770 5678288473 6988571649.P59 768

772 (4) 4346434 0002838801. C215 772

776 (8) 782209.37 2454540993.212 5457487809.204 6800978429 0989308737. C180 776

57 Prime Factors 2+(4k)

780 (4,12,20,52,60,156,260) 1928161.

.16666882 5096179161 1383075804 7143439903 6535876481.P63 780

784 (16,112) 689921.6630805 6470365249.P180

788 (4) 72497.305 0841968833. C219 788

792 (8,24,72,88,264) 3169.3665377.12925441.52386049.P120

796 (4) 8214796 8529064774 1589953094 1807101361.P202

800 (32,160) P193

804 (4,12,268) 209898673.692 5799047681.2949333879 9546784993.

.1333045405 8017528031 9733184641.P90 804

808 (8) 203617.P236

812 (4,28,116) 56294 3995510177.1590234 7075274017.

.116248 6630167011 5050911582 8530608561.P137 812

816 (16,48,272) 959617.5 9714975218 7286607489.471 9281877133 2809681089.

.4 8734995441 0239438251 5365954826 6541432641.P65 816

820 (4,20,164) 141041.1 1109333761.2100852 2430395916 3308751601. C152 820

824 (8) 19777.88993. C237 824

828 (4,12,36,92,276) 1523521.25795 2400029937.P139

832 (64) 3329. C228 832

836 (4,44,76) 236882 2395648721.304012 4117151617.

.11285 0495006238 3934670257.C162 836

840 (8,24,40,56,120,168,280) 13441.4841172001.158 6308510081.P90

844 (4) 91185761.P245

848 (16) 52 8209783809.3408 8185055658 3497822438 3921527937.P206

852 (4,12,284) 13633.3114 1397544886 4087226366 8675964421 6932367969.P121

856 (8) 1489441.2296348 6987966898 4791701633. C223 856

860 (4,20,172) 557281. C197 860

864 (32,96,288) 1718990209.814 8919324033.

.672915 3911359354 0226991648 2777538049.P116 864

868 (4,28,124) 334853569.7 1153008417.1517469 8834406721.92262654 3715132033.

.10 4294921195 4459511633.P143 868

872 (8) 175478350 7398509634 3806660481.P232

876 (4,12,292) 45553.52561.241378644 7842826657 2422421526 9676274193.P126

880 (16,80,176) 32655041.37487 1146580481.3658936991 7525430721.

.212669 6373821981 2752041147 4271156481.P116 880

884 (4,52,68) 17681.572833.3327377.58 8201030275 7468387457.

.5075 0380818282 9478517537.1 5215902463 6701626025 6977648481.

.949 0550620859 9836997560 0448252853 2989220017.

.45998843 4780718651 5471465751 5008888058 6568119521.P49 884

888 (8,24,296) 1079809.117 4047124321.

.12988 7637532703 8851755693 4650016433 9384596481.P112 888

892 (4) 267601.1391521.1345517777.P247

896 (128) 10753.4 8919385089.3925723339 4241687553.

.328516339 8869581714 1948285796 1643272193.

.1291 4340854285 0794337827 7572616180 3964147713.

.7733 8582801985 5560335958 1434066664 8061420033.P72 896

900 (4,12,20,36,60,100,180,300)

580 7380901690 0483059709 6274846254 7129404401.P102

904 (8) 3617.65089. C262 904

908 (4) 83537. C268 908

912 (16,48,304) 32833.299137.1745 3513851098 0012221761.

.107 4644470846 0091984745 4485663361.P109 912

916 (4) 2406028 3912401409. C259 916

920 (8,40,184) 18401.6 6083546765 9820859511 8019094275 2889927681.P167

924 (4,12,28,44,84,132,308) 3697.1027489.97374817.3952260 2650168177.P111

928 (32) 189546985 7654895330 9516982910 8497477761.

.497 1141705173 8761561492 9055955501 6352907777.C189 928

932 (4) 74561.8545841 7577408481. C258 932

936 (8,24,72,104,312) 26391457.545734 9138721850 0862753537.

.174989 6789723383 4172854412 9375449953.P105 936

940 (4,20,188) 13885681.5628794 3657879761.P198

944 (16) 33803 2037089130 8957923866 0220728641.P245

2+(4k) Prime Factors 58

948 (4,12,316) 3793.2707489.P178

952 (8,56,136) P232

956 (4) 76 5459043457.8806289 6436414834 1298338786 1556412577. C238 956

960 (64,192,320) 49921.P150

964 (4) 1602657713. C280 964

968 (8,88) 30977.2555521.20445 2543956321.558891896 4965108257.

.3254976976 1659600998 7280148601 1429794721.P182 968

972 (4,12,36,108,324) 26232337.1 3655624113. C178 972

976 (16) 361526017.212518364 8753765364 6842236161.P253

980 (4,20,28,140,196) 7841.35281.141121.4653041.60893281.438 7897103521.C162 980

984 (8,24,328) 349107457.628217089.

.30220180 0229531604 5345785638 7777914721.C138 984

988 (4,52,76) 189697.167659649.1482371489.645 0973392449.993 1868988289. C212 988

992 (32) 520 1080300033.308539 7990461441.5349719041 1184131713.

.243889 0017863612 5824325448 8269457409.P206 992

996 (4,12,332) P198

1000 (8,40,200) 76001.42144001.29 3543676001. C217 1000

1004 (4) P302

1008 (16,48,112,144,336) 423319681.4940773 9156397039 0335488001.

.7201935 3296923637 2884427429 6784241409.

.100654 5610655423 0078177800 1876573980 1419395841.P57 1008

1012 (4,44,92) 1440 5614244209.92427 8616131729.

.36931698 1947787319 2220694097.C210 1012

1016 (8) 13 1101681409.5342 8165972513.843130 9118401633.58136769 4924545281.

.3130331 6885606287 8953819009.P219 1016

1020 (4,12,20,60,68,204,340) 17166468 6650370481.12 3041227078 6066204321.P116

1024 45592577.6487031809.4659775785 2200185432 6456074307 6778192897.P252

1028 (4) 268510786 0437307121.2664 7313997124 8960398417.

.392684 3815894658 1131254913.C241 1028

1032 (8,24,344) 2 4219373916 5634585377.7 0238933473 0574219713.

.13298 4285729914 2484070701 7555082369.

.366266878 5050561460 4412773067 6100332150 2356238369.P79 1032

1036 (4,28,148) 136753. C255 1036

1040 (16,80,208) 20121907 7319973441.1 4930887903 8162976273 0439505281. C184 1040

1044 (4,12,36,116,348) 1 1514589201.1009453334 9991037489.

.3 3713819088 9530707009.C153 1044

1048 (8) 1211489.45529313.454261889.4105151 0705693529 1714767361. C265 1048

1052 (4) 2262527 1329336833. C300 1052

1056 (32,96,352) 155852929.1574 7624837121.4671440886 8623938817.

.3046 0440236471 1726507676 6795424257.P119 1056

1060 (4,20,212) 4241.2 2625755121.37882713 7612775441.

.236 7893637548 8328669921.P197 1060

1064 (8,56,152) 3404801.3 5868448673.47717 0373761089.78 0205766886 1532450977.

.1 0538716399 0698306311 5212651361.4708 2539672707 7882353348 6411429633.C143 1064

1068 (4,12,356) C212 1068

1072 (16) 107201.502 8065709856 6615291051 2123669275 2636100161. C271 1072

1076 (4) 4037153.4326200033.70737 4699665617.2 0861113323 2063053649.

.10342 9804585996 0197619058 7017511281.C238 1076

1080 (8,24,40,72,120,216,360) 6281281.148759201.4518776161.

.302634191 6495386817 5425499201.P121 1080

1084 (4) 4337.13009. C318 1084

1088 (64) 544001.76138241. C295 1088

1092 (4,12,28,52,84,156,364) 26209.279553.4042 8414868660 8554495041.

.15802 0457558522 9261365153.

.698642 2606350968 0379988083 3919045864 1569643973 9773112049.P60 1092

1096 (8) 45 7024161409.6307 4817527233.118875585 8465841569.P284

1100 (4,20,44,100,220) 567601.277173601.33374 2931196401. C213 1100

1104 (16,48,368) 26497. C208 1104

1108 (4) 13297.476041121.255 0041661553.

.7910906 5815199393 6777267432 4430352577.C271 1108

1112 (8) 93 4309676929.P321

59 Prime Factors 2+(4k)

1116 (4,12,36,124,372) 1093681.P211

1120 (32,160,224) 853 9067456641.10175 0737670401.114694 6484544001.

.5344 3154941490 7493260766 9859871361.C156 1120

1124 (4) 205107521.149680081 7300278753. C311 1124

1128 (8,24,376) 1078369.734189 8433044801. C200 1128

1132 (4) 27 5814838289.3620737 3036678544 3780868881.P302

1136 (16) 9168689293 9245942694 3501269939 0053650369. C298 1136

1140 (4,12,20,60,76,228,380) 4561.P170

1144 (8,88,104) 25744577.377140193. C274 1144

1148 (4,28,164) 30645407 5222900702 9310550536 9518259537.P252

1152 (128,384) 18433.2773 3723987969.87706 4686405217 9729490151 9524699649.C179 1152

1156 (4,68) 17*.41617.295937.8373 6716905921.3114844 4724976529.

.242869112 8313288513.P268 1156

1160 (8,40,232) 97740357 0406117601.8414 6414358282 9714489281.

.572815360 9272515700 9193935521.P200 1160

1164 (4,12,388) 5106360913. C222 1164

1168 (16) 4673.113794823 5396559809. C326 1168

1172 (4) 9377.1345457. C342 1172

1176 (8,24,56,168,392) 304041 0389842561.50 9154282120 6332688289. C166 1176

1180 (4,20,236) 89681.141601.1250801.13083841.106827761. C249 1180

1184 (32) 9473.120 2741777537.414581 8550091077 4859679702 8667339521.P296

1188 (4,12,36,44,108,132,396) 427681.5900813 4786334273. C195 1188

1192 (8) 2553 7398034236 6346612993.P334

1196 (4,52,92) 38273.1 4536633697.3691935 7139916161.

.147554109 3263465795 0998395089.1 7577448076 7926383346 4910204577.

.122 2550245968 8731038401 6956082161.C197 1196

1200 (16,48,80,240,400) 9601.57601.1796365 3814841601.P168

3􀀀

Factorizations of 3n 􀀀 1; n odd, n < 540

n Prime Factors

1 2

3 (1) 13

5 (1) 11.11

7 (1) 1093

9 (1,3) 757

11 (1) 23.3851

13 (1) 797161

15 (1,3,5) 4561

17 (1) 1871.34511

19 (1) 1597.363889

21 (1,3,7) 368089

23 (1) 47.1001523179

25 (1,5) 8951.391151

27 (1,3,9) 109.433.8209

29 (1) 59.28537.20381027

31 (1) 683.102673.4404047

33 (1,3,11) 2413941289

35 (1,5,7) 71.2664097031

37 (1) 13097927.1 7189128703

39 (1,3,13) 13*.313.6553.7333

41 (1) 83.2526913.8 6950696619

43 (1) 431.38080854 6861411923

45 (1,3,5,9,15) 181.1621.927001

47 (1) 1223.21997.5112661.96656723

49 (1,7) 491.4019.8233.51157.131713

51 (1,3,17) 12853.9 9810171997

53 (1) 107.24169.374760703 1112307667

55 (1,5,11) 11*.1321.56008 8668384411

57 (1,3,19) 229.248749.1824179209

59 (1) 1 4425532687.48976999 3189671059

61 (1) 603901.1052 9331366039 1861035901

63 (1,3,7,9,21) 14454291 8285300809

65 (1,5,13) 131.3701101.11013 3112994711

67 (1) 221101.44 1019876741.47538 4700124973

69 (1,3,23) 277.246124357 6713869557

71 (1) 3754 7332574898 6240197335 7979128773

73 (1) 11243.20149.1 5768033143.946037 5336977361

75 (1,3,5,15,25) 601.9601.209 8303812601

77 (1,7,11) 51457561.7151459701.7 6831835389

79 (1) 432853009.39 2038110671.14517117 7264407947

81 (1,3,9,27) 3889.1190701.1255761 2956332313

83 (1) 167.12119.1036745531.9509 9605962721 0897943351

85 (1,5,17) 266 3568851051.86297065 2262943171

87 (1,3,29) 74821.32234893.15022 4123975857

89 (1) 179.161147 9891519807.50429 3943956599 6049162197

91 (1,7,13) 4011586307.37456 0381200716 6116831643

93 (1,3,31) 1117.262737 0184401531 9144827917

95 (1,5,19) 191.78 9580876946 0932143966 0131899631

97 (1) 76631.254 9755542947.488459628 2802842115 5731228333

99 (1,3,9,11,33) 3186217.128 1243223830 2009985937

101 (1) 33034273.46 5092326319.503167756 6801975930 6202964023

60

61 Prime Factors 3􀀀

103 (1) 695759652 9882152968 9922252518 3588718147 8451547013

105 (1,3,5,7,15,21,35) 421.6301.1616161.2 6751945361

107 (1) 50077.229837.4 8965028505 0451239934 2125040651 6036571557

109 (1) 1091.521402591.3499901929.23 9789806103.1062434687 5389299603

111 (1,3,37) 18702169.119779213.696235341 3269964253

113 (1) 227.1583.2172539.52 6256453012 0639807961 3112732135 4599535039

115 (1,5,23) 1975931.627 3542442241.523 7034664956 5455417091

117 (1,3,9,13,39) 4162861.1846794457.282196430 7371847613

119 (1,7,17) 239.4462680619 1326911791.3978 8183764257 7477902049

121 (1,11) 11617.398 1923614021.657890 4115452726 4820550284 9240259841

123 (1,3,41) 51169.1999 8278175173 8704456156 8810795329

125 (1,5,25) 251.358291751.1 4781691751.39 1632555001.98994 7158849251

127 (1) 5843.681229.21520151.76082653.301515 3157523008 7423656423 5591357673

129 (1,3,43) 4129.2199072289.9128515 6566285711 0894244969

131 (1) 263.6051995885 9114400310 0881306574 4068516602 8842774039 4885828171

133 (1,7,19) 875794894 1961838067.257 5137762431 5682637927 9929309507

135 (1,3,5,9,15,27,45) 541.53825041.7736 1813242734 5151923061

137 (1) 4933.217629707.1080 8180977383 9995188256 8004991415 4368439303 5450350551

139 (1) 1669.5430731.P57

141 (1,3,47) 16 1969595577.203 1161085853.1 6530147394 2399079669

143 (1,11,13) P58

145 (1,5,29) P54

147 (1,3,7,21,49) 47041.P36

149 (1) 7451.177941761.P59

151 (1) 1511.6263783.6 4745079361.P51

153 (1,3,9,17,51) 6213394261.3 5106034213.P26

155 (1,5,31) 311.3586225081.P46

157 (1) 9421.338 1925092493.989110912 5337566719.P40

159 (1,3,53) 71255 0912937217.P35

161 (1,7,23) P63

163 (1) 522 7348213873.888281 1705390167.P49

165 (1,3,5,11,15,33,55) 50821.P34

167 (1) 58451.88177.1767863.1006306 0897082377.P48

169 (1,13) 2029.16 3264150141.P60

171 (1,3,9,19,57) 119701.P47

173 (1) 347.762239.212 5048865543.P62

175 (1,5,7,25,35) 109201.143012 8198787051.P38

177 (1,3,59) 709.222489815 9852613649.P34

179 (1) 359.56207.100957.19510643.29106 6066130451.677996364 4378513811.P33

181 (1) 90863.890159.P76

183 (1,3,61) 733.97806913.242 1854958301.P34

185 (1,5,37) 2221.17761.35521.146891.228082801.4 9804972211.

.8784 1814842081.165423591 1196704741 185

187 (1,11,17) 6359.127275 3542934479.341192 6755457243.P42

189 (1,3,7,9,21,27,63) 4988864145 4623789553.P32

191 (1) 383.311713.9593931911.P73

193 (1) 6563.29723.234 6066378779.2182460 9477260164 2186973037.P45

195 (1,3,5,13,15,39,65) 2341.39838501.P35

197 (1) 9851.74101933 4164502879.114725 7496199447 7441469621.P47

199 (1) 1360648969.2933664301 3193035381 1221418233.P57

201 (1,3,67) 1089421.P57

203 (1,7,29) 2843.735673.P71

205 (1,5,41) 6971.31981.P68

207 (1,3,9,23,69) 829.1657.4969.P54

209 (1,11,19) 419.2927.9938 1983898121.3408381 8556068104 3030809047.P40

211 (1) 2111.96 2188370639.5404 6656969013.567668737 4958905209.

.16959 4940906006 4182746451.P29 211

213 (1,3,71) 5113.2271 6867932413.11526 4393627813.361351 2804721129.

.8966558866 4737776553 213

215 (1,5,43) 8477881.144911 2548109132 0910774351.P48

217 (1,7,31) 20399.2 4040333283.205456 9869883991 7414079969.P46

3􀀀 Prime Factors 62

219 (1,3,73) 135781.P64

221 (1,13,17) 443.P89

223 (1) 544730 9720495081 9531444809.P81

225 (1,3,5,9,15,25,45,75) 116101.875701.28687 0274711101.

.51500 9259868501.11963496 9443826601 225

227 (1) 1 9907051929.86695423 7255898858 0369574229 6342497463.P60

229 (1) 804 7106008391.3235656139 9076305309.2 8466399663 0519253661.

.6 3453854187 9036040523.P36 229

231 (1,3,7,11,21,33,77) 3697.7 3155606217.P43

233 (1) 467.2759917269 1870182517.63 5497925216 2209284471.

.382 4748201676 5032274959.P45 233

235 (1,5,47) 5171.11321831.1287586151.301682055 4553522418 5322498361.P40

237 (1,3,79) 37520893.528021312 8248296600 1751707837.P38

239 (1) 479.17209.4 3301964055 6355333339 4574553310 6128044213.P67

241 (1) 553788 7187071221 9875186142 5724478919.P79

243 (1,3,9,27,81) 70957.6627097.218354731 6244845481 9220238921.P38

245 (1,5,7,35,49) 32341.P76

247 (1,13,19) 14327.5 0427403417.853368 8951691833 3646696709.P63

249 (1,3,83) 3588 2730354181.P65

251 (1) 503.5894996 1625091488 5236525744 6042626007.P80

253 (1,11,23) 23*.386369 0516868071 4294388463.P78

255 (1,3,5,15,17,51,85) P62

257 (1) 120277.1329772 6629335241 1250231045 3951741137.P82

259 (1,7,37) 2591.18131.P96

261 (1,3,9,29,87) P81

263 (1) 53653.78901.275 0510656513.6539 7307474141.15357290 5037740933.

.3 5243674932 4038579121.P52 263

265 (1,5,53) 3181.184747 7794073617 4884324451.34493137 0794232249 4318140511.P43

267 (1,3,89) 850666273.2270061 7220008799 6883997658 3683542421.P39

269 (1) 10223.262007.116075653.7630 5384036997.29947 0647963251.P83

271 (1) 3253.8916443.49054 3245624181.270960082 5365281117.P86

273 (1,3,7,13,21,39,91) 30577.163 6991658121.21 4892035618 2437964673.P31

275 (1,5,11,25,55) 1210 8337254149 1664042201.P73

277 (1) 15801743.47 8803193369.P113

279 (1,3,9,31,93) P86

281 (1) 563.3373.422063.434989.1000081249.3801 2519036699.

.12420 5327610431.5 4361500791 5184215523.23 9721223634 4676495763.P38 281

283 (1) 133227911.1830824353.30 6487563493.125760294 3398454563.P88

285 (1,3,5,15,19,57,95) 5731756981.P60

287 (1,7,41) P115

289 (1,17) 44507.1088953.P120

291 (1,3,97) 189733.1693621.80640757.18481268 4901540537.P55

293 (1) 587.6491161205 1881874971.P117

295 (1,5,59) 739861.31 1834125441.12437049 7539714276 1851514391.

.15 8007579827 3811372853 1939755751.P35 295

297 (1,3,9,11,27,33,99) 1182737161.7899901813.37023 1459035769.P53

299 (1,13,23) 599.10997221.288638107 3947332989.86 6196571451 2154562493.P76

301 (1,7,43) 8127001.92 1928537909.315751 1069077510 1163983809.

.29546962 8334737033 9434959009.P49 301

303 (1,3,101) 1213.46 4114346100 9716702610 3035487898 1449019613.P51

305 (1,5,61) 65881.491 9054377091.

.4 6229214937 0489759011 7573220711 7334435811.P57 305

307 (1) 1061054224 2923144869.12093 5840335015 3553775181.P104

309 (1,3,103) 1237.16069.P90

311 (1) 3733.1 2460588823.8 7306950204 1694941443.

.224 1207330424 8506685860 8236118508 1412667449.P72 311

313 (1) 2370037.3 7598977521 5365330294 1126019779.

.271467 5534408576 0464093169 8215106830 3918417599.P67 313

315 (1,3,5,7,9,15,21,35,45,63,105) 1571221.P63

317 (1) 349 3595928049.1990574 4004289816 3364095413.P113

319 (1,11,29) 3191.11 3164935467.2 6425387421 4904711887 9373476317 7943613329.P79

63 Prime Factors 3􀀀

321 (1,3,107) 3853.6421.127 6775957917.P82

323 (1,17,19) 647.1600789.39039719.2913 4285181591.P108

325 (1,5,13,25,65) 2175 2026148805 6211634951.

.27612 4011614962 6792553752 4217847751.P57 325

327 (1,3,109) 122953.1340701.5 5471745029.

.714322353 8312838909 0355926573 5120995717.P43 327

329 (1,7,47) 659.16451.9 4041956807.P114

331 (1) 1581832451.1 6312845121.

.53065446 4353667468 0921694512 4588874436 5152829791.P91 331

333 (1,3,9,37,111) 1179099721.262835417 3876461837.P76

335 (1,5,67) 279111 0259168381.P111

337 (1) 8089.33 8861091937.73 6092762241.P134

339 (1,3,113) 5 1017244973.28327488 7324515433.P79

341 (1,11,31) 4093.94845460 4017084448 1070590623.P112

343 (1,7,49) 24697.385540919.4551588049.846572831 0029191083.

.234 5144689656 0788630183.323 1201526560 9073916797.P54 343

345 (1,3,5,15,23,69,115) 1381.9661.31741.6784081.76675561.P58

347 (1) 291481.115 0057146229.18549 8348145073.32800315 3456707623.

.2091201080 0475074747.33844 4484846428 4605409520 2148071217.P63 347

349 (1) 9404285088 9984510998 2891523204 3854179853 2018021653 95628374\

11 9321165402 5280185459.P87 349

351 (1,3,9,13,27,39,117) 244297.50345 7454452889.P83

353 (1) 509027.408 8777503007.P150

355 (1,5,71) 734346611.668 2415759518 6257988571.P102

357 (1,3,7,17,21,51,119) 2000145949 1011594009.P73

359 (1) 719.16 9998846011.4709 2089922710 7034926837.

.419962 9082558286 3451929997.278 2524683350 2949950082 0080150443.P76 359

361 (1,19) 103969.930643561.154467980 2763873663.

.2124 4207651812 9661950839.6758735105 9571562939 6212612371.P78 361

363 (1,3,11,33,121) 1453.49369.31228 4816501197.4600793127 1317089317.

.13 7778316892 1566387641.P42 363

365 (1,5,73) 1030031.14 7287451232 3892527561.

.1 5473894391 5325955520 3314631096 1760609845 0974126281.P60 365

367 (1) 11665463.667804211.13767321 8986445617.18912058 5817572803.

.4123446604 2798529583.

.15 1149525784 0070716998 8656940229 3793503992 8231350493.P54 367

369 (1,3,9,41,123) 176721 0188478589.P100

371 (1,7,53) 743.184857976 0700244247 1500555321.

.171 7767299415 9234619140 2074920387 0763105521 2708408339.P66 371

373 (1) 298 5102182914 3310461628 3959755194 4594782446 2348756933 2624\

663314 4966957389.P106 373

375 (1,3,5,15,25,75,125) 878841 6011598893 3758085617 1754300128 0896024501.P50

377 (1,13,29) 433816 9506098819.17 2661075234 7421021849.P124

379 (1) 21 0917324869.151804 9814692403.

.20113 3966998725 3732917345 0769572000 6137727092 5662226533.P100 379

381 (1,3,127) 597409.289672438 8952980361.P96

383 (1) 23747.2835733.26 3172186419.42 8039526143.99960 7767985979.

.1 0853637164 8062411539 9141696533.P104 383

385 (1,5,7,11,35,55,77) 225611.868561.

.10758904 5563550849 2058703955 8086313081.P67 385

387 (1,3,9,43,129) 30 8842594561.2 6912336376 0531549673.P89

389 (1) 51349.1940 4514058063.

.15 5730167480 4804850391 2224242515 7980007821 0728172109 9399054521.P107 389

391 (1,17,23) 17987.94214579.283744 2021361921.11 3631062467 4027548741.

.17 2013233176 8569247939.726 4376050753 6226775553.

.947 8134542846 9754529296 7550627029.P42 391

393 (1,3,131) 20835 7422743294 1258356498 3277967503 8562305610 5089493677.P70

395 (1,5,79) 5531.2310403 6107370941 3931057501.64349432 9143676936 6927146921.

.157266442 9740716254 1884251721.5 4788284093 2821605655 8228587181.P32 395

397 (1) 366829.2233523. C178 397

399 (1,3,7,19,21,57,133) 49279693.1068595417.8907619982 8580322541.P67

3􀀀 Prime Factors 64

401 (1) 90932 8968322000 8692689116 4728383761.

.5865500 9739360607 2943115498 8451238023.P120 401

403 (1,13,31) 12167 4645534469.143924553 1309681223 9313539411.P130

405 (1,3,5,9,15,27,45,81,135) 155521.285121.282 0618974881.P80

407 (1,11,37) 18354073.186240044 9807666627.P147

409 (1) 20720759.1 4572485139 0704755159.1492019 3533330125 0525828683.P142

411 (1,3,137) 2115829.634432753.685934341.

.113 9388291348 8022495414 2892526477.P74 411

413 (1,7,59) 827.4957.48301177.3 6643803252 8092142507.

.3721114 3592148741 5423131988 9680078283.

.3769875 4823547437 1888830254 4867582005 1387027651.P48 413

415 (1,5,83) 363541.1333811.223210122 3348881982 9203441926 3747875011.P107

417 (1,3,139) 43302949.2016598657.2013601123 8172476709 6677592621.P86

419 (1) 839.59 6113491371.21515060 5305873583 8822709777.

.6548858914 7614101616 5461375447.1593 2047940952 3134849188 0857761413.

.496097 1340875216 4639661893 5298341361.P59 419

421 (1) 1206587.6804488281.12 9208238531.302896 4523574056 4742379791.

.46356940 6247659963 6809044531.10722 2714755538 0448222798 1559844589.P87 421

423 (1,3,9,47,141) 55837.57529.27115993.35675821.P108

425 (1,5,17,25,85) 49354 9578424915 6950998027 4834655501.

.445538977 3129571534 8592319032 2961189401.P80 425

427 (1,7,61) 9 8386025627.56 2686760931.844 0457044844 4086183953.

.35560688 4187122505 4499505739.P99 427

429 (1,3,11,13,33,39,143) 2175889.6413 9087689249.1 0330459914 4666396621.P75

431 (1) 863.31033. C198 431

433 (1) 218233.79453 1651250141 3421855357.61522507 1375846114 8996890901.

.3336469 6150608633 9336330519 5427888169.P112 433

435 (1,3,5,15,29,87,145) 3411 8036879281.2214857 1105259456 4349712441.P68

437 (1,19,23) 440014023 9259780643.1562714938 6345831933. C151 437

439 (1) 329834659 1256657182 1412548179.P181

441 (1,3,7,9,21,49,63,147) 220427792 9951182849.

.4 0788843142 6111186599 6005834462 8771163410 1230416829.P52 441

443 (1) 887.298583.44457709.213177803. C187 443

445 (1,5,89) 47 7126751861.291233 3801178961.P141

447 (1,3,149) 17881.P137

449 (1) 14112071.88 1733955481 8836643818 9921318359. C175 449

451 (1,11,41) 47807.6704567.529 5342260891. C167 451

453 (1,3,151) 2689557037.2 0851551949.882469121 5488669109.

.22102 5298679097 8093597221.P80 453

455 (1,5,7,13,35,65,91) 911.38 6134706231.24780989 0905959594 5200318151.

.1435809872 1335061276 9699274854 9282318301.P57 455

457 (1) 17 6540143789.1097 6741555411.79011276 8389761097.

.44526 9165286661 5264275724 7913322427.P141 457

459 (1,3,9,17,27,51,153) 3673.23 0736771829.88 9501314241.

.117867 7281477587 7294179029.122 2177546763 2653120010 6433310349.P54 459

461 (1) 11987.11816456 8780375261.

.120 3473922272 3039662822 3644533779 2145487543.C157 461

463 (1) 11113.83341.155569.176 7202459333.P195

465 (1,3,5,15,31,93,155) 146941.4307761.618458289 1232396881.P85

467 (1) 2783 6167022857.P210

469 (1,7,67) 1306456 8572319273 2933134168 2365113787.P153

471 (1,3,157) 952329919 6159010516 1615580822 3368923119 9818916357 1236402837.P90

473 (1,11,43) 947.181 5542308537.12 6118323579 5048844037.

.201 9720844909 4114683600 6403755873.P132 473

475 (1,5,19,25,95) 2057701.449008024 3969653901.P147

477 (1,3,9,53,159) 3 9365302681.9544581 2049221683 7136711901.P112

479 (1) 2017549.5213 3736060349.25762059 8280719473.

.10332092 1853281948 8876650572 8921146249.P154 479

481 (1,13,37) 709957. C201 481

483 (1,3,7,21,23,69,161) 696032619 7271909185 6659473096 8478467309.P88

65 Prime Factors 3􀀀

485 (1,5,97) 971.145501.228363878 7489645173 4446934241.

.163 1354119648 5791712788 0147033711.P115 485

487 (1) 1 2364016389. C222 487

489 (1,3,163) 107581.P150

491 (1) 983.24551.84412401 6018569089.1 5544738533 5258570051.P189

493 (1,17,29) 13576907 2957854733. C197 493

495 (1,3,5,9,11,15,33,45,55,99,165) 35669701.

.370 7305577074 2955860149 6693579435 8188994208 3408919721.P55 495

497 (1,7,71) 3984424151.43254 7838166529.130956797 2706389369.

.4 2869282346 9180744251.138 7299857392 1896220953.

.785010 9135237017 3950798567 1014620709.P80 497

499 (1) 1919016277.71633209 3275045781.1 1455131577 9689543877.

.322428677 6262670770 2019834661.1242829 5284327794 0819674798 4311772979.P126 499

501 (1,3,167) 218437.4769521.77732462 4268955461.1201536765 8187607573.P110

503 (1) 7043.12073.3 0311006351.416922659 6195242450 6975231211.P193

505 (1,5,101) 205031.373293 8536661701.

.276878 5874468805 9298907596 6008807841.P135 505

507 (1,3,13,39,169) 13*.2624233.58 0460684077.1395 6160423453.

.52 4214858847 3376340853.P95 507

509 (1) 1019.7127.54973.97729.14495303.324927277.

.595618243 7357216776 1652488341.

.1408323 5920652656 2122960328 2020508687.P146 509

511 (1,7,73) 16347913.2429424817.212691319 1482456609.P172

513 (1,3,9,19,27,57,171) P155

515 (1,5,103) 1031.1 3904017381. C182 515

517 (1,11,47) 1812 1754584561.1156442 1035953127.

.195 8234817480 2515746342 2904654781.

.439353102 8249114977 5960216612 4705290731.P120 517

519 (1,3,173) 4153.78539233.590769 4552891069.P137

521 (1) 39400482 2498482103.11131528 7154708327 6871904557.P204

523 (1) 8321977.4613832781. C233 523

525 (1,3,5,7,15,21,25,35,75,105,175) 81901.21810 9434619328 3895070901.P86

527 (1,17,31) 592116121.608 0570194421 9890543261.

.35323611 4003997309 9443831088 6415603767.C160 527

529 (1,23) 259211. C237 529

531 (1,3,9,59,177) 3030949.31 8413423593.5248 2008124253.

.179197 5880571098 2439288098 8379522349.P100 531

533 (1,13,41) 218531.13847341.193003 7901921949. C202 533

535 (1,5,107) 5351.18191.467591.1 2476029871.135799169 4228074281.P161

537 (1,3,179) 4297.7 4935252328 4764318713.85 6893255269 5444750981.

.47 5397205540 9536870281 0459051367 7195842929.P82 537

539 (1,7,11,49,77) 20483. C197 539

3+

Factorizations of 3n + 1; n _ 540

L,M for n = 6k 􀀀 3 _ 1077

n Prime Factors

1 2.2

2 2*.5

3 (1) 7

4 2*.41

5 (1) 61

6 (2) 73

7 (1) 547

8 2*.17.193

9 (1,3) L.M

L 19

M 37

10 (2) 5*.1181

11 (1) 67.661

12 (4) 6481

13 (1) 398581

14 (2) 29.16493

15 (1,5) L.M

L (3) 31

M 271

16 2*.21523361

17 (1) 103.307.1021

18 (2,6) 530713

19 (1) 2851.101917

20 (4) 42521761

21 (1,7) L.M

L (3) 7*.43

M 2269

22 (2) 5501.570461

23 (1) 2 3535794707

24 (8) 97.577.769

25 (1,5) 151.22996651

26 (2) 53.4795973261

27 (1,3,9L,9M) L.M

L 19441

M 19927

28 (4) 430697.647753

29 (1) 523.6091.5385997

30 (2,6,10) 47763361

31 (1) 6883.2 2434744889

32 2*.92651 0094425921

33 (1,11) L.M

L 176419

M (3) 25411

34 (2) 956353.1743831169

35 (1,5,7) 37 4857981681

36 (4,12) 28 2429005041

37 (1) 18427.107671.56737873

38 (2) 5301533.2 5480398173

66

67 Prime Factors 3+

39 (1,13) L.M

L 157.10141

M (3) 79.2887

40 (8) 14401.12 8653413121

41 (1) 33703.27054 7105429567

42 (2,6,14) 2857.109688713

43 (1) 8206424184 8634269407

44 (4) 89.2382953.5 6625998353

45 (1,3,5,15L,15M) L.M

L (9M) 387631

M (9L) 755551

46 (2) 12553493.7060 1370627701

47 (1) 16921.256057.153 4179947851

48 (16) 76801.2 4127552321

49 (1,7) 857643277.12 7522693159

50 (2,10) 5*.101.394201.6 1070817601

51 (1,17) L.M

L (3) 613.30091

M 129159847

52 (4) 2093124281.3764 4053098601

53 (1) 78719947.6155760 5176233223

54 (2,6,18) 15009463 4909578633

55 (1,5,11) 659671.2447 2341743191

56 (8) 113.19489.3621479 5668330833

57 (1,19) L.M

L (3) 3079.53923

M 1162320517

58 (2) 12413.379 4512766652 9000523013

59 (1) 3187.11084 3944867734 0328268341

60 (4,12,20) 241.298801.26050081

61 (1) 367.866304 3244253992 5437931403

62 (2) 1403808961.2860659169.9500438809

63 (1,3,7,21L,21M) L.M

L (9M) 127.883.2521

M (9L) 550554229

64 2*.1 7168419101 4625624232 8924544641

65 (1,5,13) 1059 1930879793 5444986721

66 (2,6,22) 1349001235 8249728401

67 (1) 5390821.42994 1298124616 9975118907

68 (4) 137.645 8150122561.383356 4416504313

69 (1,23) L.M

L 139.5107.132619

M (3) 9109.1476463

70 (2,10,14) 28596961.32839661.94373861

71 (1) 853.2131.82219.3099719989.405 2490063499

72 (8,24) 1418632417.5622 7703611393

73 (1) 439.38 4881541200 5553715006 8589763279

74 (2) 149.953861.1426597 5980140492 0771391593

75 (1,5,25) L.M

L (15M) 26251.119101

M (3,15L) 2551.1530601

76 (4) 761.31769.3302353.2 7873391207 2436804273

77 (1,7,11) 564953929 3310122227 5861053369

78 (2,6,26) 325729.27172272 3752757889

79 (1) 66361.32 7220181191.5 6723906033 1150635317

80 (16) 8194721.700984481.59774 7428754241

81 (1,3,9L,9M,27L,27M) L.M

L 163.208657.224209

M 1297.5879415781

82 (2) 2088869.110767897.5749 3370801711 6710865237

83 (1) 499.997.2466097.8132017 2571009795 2736361977

3+ Prime Factors 68

84 (4,12,28) 337.673.1009.167329.2108826721

85 (1,5,17) 1531.224401.132 7136225783 2586268931

86 (2) 173.470593.2641485701.5 5473422113.90 3239908009

87 (1,29) L.M

L (3) 261697.37464463

M 349.142159.1383301

88 (8) 6922081.1565 6839738849.136362013 7403810529

89 (1) 264331.1125706177.24443226 4141533135 5533344283

90 (2,6,10,18,30) 176401.45280844 1334403281

91 (1,7,13) 8737.595141.235 4116499281.245 2788561133

92 (4) 1289.743170846 3054117564 4782850494 1347481129

93 (1,31) L.M

L (3) 8823 9050462461

M 373.541447.3058399

94 (2) 56 3838649753.125 3842831322 0526578547 7849439329

95 (1,5,19) 39901.2 9574984661.2534995630 7509384561

96 (32) 7297.68737.96948097.7061 3232600577

97 (1) 459991849.50 3803759819.205916 0392685737 7806745611

98 (2,14) 197.16661.251325313.42 6712077457.3401 3149495921

99 (1,3,11,33L,33M) L.M

L (9L) 199.4357.337448233

M (9M) 397.37 8450588583

100 (4,20) 133201.1 8055139801.614 5992651282 6500975801

101 (1) 379963.101 7291527198 7232922083 0935465878 5077827527

102 (2,6,34) 409.49637281.1 8766840755 5352123529

103 (1) 619.3661040653.1535090 7132291269 0994238337 4434289901

104 (8) 1249.13729.475356961.7804643378 4644429678 5447886881

105 (1,5,7,35) L.M

L (15M,21M) 24151.3369031

M (3,15L,21L) 211.1051.3454081

106 (2) 90313.609422621.1481588501.4607406 8338167202 1327601001

107 (1) 643.100153.437 5617272295 4283561110 3072484718 0250451293

108 (4,12,36) 2161.15121.10512289.16569793.395 8044610033

109 (1) 1992772009.593 3538193981.769 6680097963.2786647 1458012723

110 (2,10,22) 177101.927 3197296490 6604788519 2700193701

111 (1,37) L.M

L 223.25709599.78539161

M (3) 6432627 2436179833

112 (16) 14561.45697.101921.643553.67765601.378369377.5685756833

113 (1) 362053.156472231.3626038130 6516805835 7893343093 1295416667

114 (2,6,38) 457.2281.7753.30930 0932438949 2947932121

115 (1,5,23) 6211.48991.4232 0205278313 5256990524 7101633701

116 (4) 233.4177.27799136 0381003661 5647524683 7898113569 3842991081

117 (1,3,13,39L,39M) L.M

L (9L) 937.37441.6079786129

M (9M) 1171.2161927.43264261

118 (2) 199667 8111016034 6782368664 7723289448 8590528475 0420567849

119 (1,7,17) 7719769.1098440018 1526959179 0562202043 2593239209

120 (8,24,40) 4801.13921.513 8357902194 8491809121

121 (1,11) 727.2179.74779.25 6900099994 4363777870 3129270421 4632407889

122 (2) 180317.262199473.3950436 3995133913.8659234 7588766970 0104067517

123 (1,41) L.M

L (3) 40049539.13 0099576237

M 2337001.1560 6752580607

124 (4) 8151672 6600079249.2 1775844224 8054089230 6669222699 8392022049

125 (1,5,25) 2251.100501.2278135721 4279297867 7822991731 2351656251

126 (2,6,14,18,42) 1180369.47 5110761833.4022657 0408250073

127 (1) 22861.63247.52147471.1303 0796206528 5788640063 2008887512 5740738871

128 2*.257.275201.13842 4618868737.391378628 1514524929.1 5384983485 3910661121

69 Prime Factors 3+

129 (1,43) L.M

L (3) 1651439941.2 8395735937

M 1549.27091.782 2354593043

130 (2,10,26) 8266 9546937641.85 5155378117 2437358546 7087637721

131 (1) 787.1147422718 9680443857 2098194909.8813049307 3994656132 0646289889

132 (4,12,44) 660001.1 1096576833.204 3124237034 6923068097

133 (1,7,19) 11173.1084483.1256610601.295 9664237637 8858932473 2476512991

134 (2) 269.1609.1877.11257.5 0546266229.71957 1227339189.P25

135 (1,3,5,9L,9M,15L,15M,45L,45M) L.M

L (27M) 3511.487891.86548771

M (27L) 4591.451441.73321201

136 (8) 17*.5641553.23229617.267009173 5108484737.P28

137 (1) 8209 3596209179.P51

138 (2,6,46) P43

139 (1) 2 6436515641.11 1362650620 3380968993.P35

140 (4,20,28) 281.18481.36987956 0116990841.33 5333673892 9580410561

141 (1,47) L.M

L 283.9395340762 7827115729

M (3) 37 9840205131 9990403467

142 (2) 367 2239816477.915 9751032889.P42

143 (1,11,13) 53197.P53

144 (16,48) 7782 6286120321.P32

145 (1,5,29) 59086051.2 5481953741.315942 1788711031.7645579624 3959454561

146 (2) 293.1867 8646095653.867822 4783651477 5846688349.P27

147 (1,7,49) L.M

L (21M) 119471899.88 2757098511

M (3,21L) 7*.1471.3529.15583.200568859

148 (4) 410257.953789 6093307601.3119959296 1514012689.P28

149 (1) 4482 7226189768 6067465301 3440107317.P37

150 (2,6,10,30,50) 1201.55201.P31

151 (1) 472027.645979.135286639.P52

152 (8) P69

153 (1,3,17,51L,51M) L.M

L (9M) 436357.13339523 5891527691

M (9L) 919.1 2334310538 2171675857

154 (2,14,22) 67135245 2318708161.P40

155 (1,5,31) 1861.3313155 5630426311.31862042 1994509961.1 2146298245 1478217731

156 (4,12,52) 309746737.P38

157 (1) 252457.15942052 4134654609.321294 3433747504 9222622287.P27

158 (2) 317.10393 8191908152 7625078056 8850989337.P38

159 (1,53) L.M

L (3) 27690 3509538177 0614187391

M 48973.3 9579453306 2864139307

160 (32) 41517683 6133761452 7605197761.P34

161 (1,7,23) 967.1933.546 8575720021.P45

162 (2,6,18,54) 8243461939 4313344569.P32

163 (1) 8483499631.49 5647059198 0320134353.P46

164 (4) 41*.2297.32326369.P64

165 (1,5,11,55) L.M

L (3,15L,33M) 4951.1286011.4968781621

M (15M,33L) 331.991.1112 3788282861

166 (2) 2591261.695 6557366277.P59

167 (1) 4 1332144291.19 6098784741.P58

168 (8,24,56) 13441.P42

169 (1,13) 4057.351859.733693 2438768271.P50

170 (2,10,34) 7674481.P55

171 (1,3,19,57L,57M) L.M

L (9M) 25309.16 7662064352 9235921057

M (9L) 19*.4 2509373931.10231 0358933917

172 (4) 226519873.2137616 5893692833.P56

173 (1) 993367.14427163.12533 0011023211.15602641 7563831897.P38

3+ Prime Factors 70

174 (2,6,58) 19437193.138 8985225193.P35

175 (1,5,7,25,35) 2 3185675801.42 6064863577 0037050051.P26

176 (16) 353.19009.6 2210098369.20 5188547169.P48

177 (1,59) L.M

L 3 8926393657.36300270 2388730267

M (3) 76819.1 5743388547.166 9126011067

178 (2) 11924641 6751429506 8582330293.P57

179 (1) 3755779.4702 9186391731.924836 3581047133.P49

180 (4,12,20,36,60) 116809201.208 1711451601.P26

181 (1) 51043.7157228 0124061281 1884999961.P55

182 (2,14,26) P69

183 (1,61) L.M

L 189223.6117064141.10987 0115206699

M (3) 279666823.6496172504 8119249391

184 (8) 112241.2057857.2190337.4475616001.7978117 1123090497.P40

185 (1,5,37) 1 0322251861.418361 1889192231.5522351371 9943993551.P24

186 (2,6,62) 5853105289.113 7273143641.P36

187 (1,11,17) 181777924 3574458599 3179560027.P49

188 (4) 4513.2563193.P78

189 (1,3,7,9L,9M,21L,21M,63L,63M) L.M

L (27M) P26

M (27L) 379.84673.30354157.6 0439117411

190 (2,10,38) 7057 8185345621.497548 1820118441.P40

191 (1) 176349919.854888497.P74

192 (64) 280321.15687169.339601921.316 7109739009.P28

193 (1) 167911.679747.7967041.3 2685391867.P64

194 (2) 389.120 9361321548 3100917704 8568226947 0852086753.P47

195 (1,5,13,65) L.M

L (3,15L,39M) 5 4975287251.378 5998525531

M (15M,39L) 419437201.5691 9999055921

196 (4,28) 34287 5768396449.P66

197 (1) 8714655511.2474 2960162351.49 6761573591 0053601387 1955394289.P39

198 (2,6,18,22,66) 4401193897.357 1691108833.P36

199 (1) 2389.5484043.P85

200 (8,40) 401.P74

201 (1,67) L.M

L (3) 32563.1351123.3 0102788687 4675599533

M 275371.593 1946571197.5675 5588835611

202 (2) 1189912513.6953 1972955397.9620783 7407260037.P56

203 (1,7,29) 3988580 1392674353 9066881263.P54

204 (4,12,68) 539587 8490963858 8059956801.P36

205 (1,5,41) 1164811.67499 3008687608 0531836671.P46

206 (2) 152 2395676033.762 5998476893.3276 7100540923 0016291179 1926389341.P39

207 (1,3,23,69L,69M) L.M

L (9L) 5724793.76710 2126828525 5340377531

M (9M) P32

208 (16) 1614913.20634017.276373672 6854088129.P60

209 (1,11,19) 8779.146719.227123983 1531493337 7685219487 9434768181.P39

210 (2,6,10,14,30,42,70) 4201.7035101641.87138 3685710721.22266566 6643176401

211 (1) 892531.189250543.2645385196 5864302499 1542048668 2565415343.P47

212 (4) 1079398849.113521 4993571937.1331247 1759340645 7496636996 0667813849.P40

213 (1,71) L.M

L 210019.49682251.55126531.1305 5351529193

M (3) 1 2685215427.845 6939000247 6091110121

214 (2) 582937.2827369.3096650621.48178 6776662041.49996 5737866229.P51

215 (1,5,43) P81

216 (8,24,72) 1155169.P63

217 (1,7,31) 1303.89839.174469.35258161.102 3879682351.

.709 6115826497 0285776591.P31 217

218 (2) 2617.5233.P96

71 Prime Factors 3+

219 (1,73) L.M

L 741973.P29

M (3) 877.P32

220 (4,20,44) 7481.15401.131561.P64

221 (1,13,17) 506533.278300881.P78

222 (2,6,74) 9769.401057 5301861137.P50

223 (1) 19849231.24 9693347977.361 9936401181.278400 9098113351.

.1305599569 3262699864 5445231983.P30 223

224 (32) 449.8513.3153 9199370561.126962 4189254401.335608 6147916993.P41

225 (1,3,5,15L,15M,25,75L,75M) L.M

L (9L,45M) P29

M (9M,45L) 1801.16985251.697381651.1988005951

226 (2) 2713.79808 7896392921.P89

227 (1) 28603.31327.1533148921.2827 9305227149.757433 2808351743 3389294793.P51

228 (4,12,76) 2842147681.P60

229 (1) 169003.40321764 1732789481 4764968543.P76

230 (2,10,46) 461.5521.P78

231 (1,7,11,77) L.M

L (3,21L,33M) 463.910237483.24261330 5580091909

M (21M,33L) 10627.12869 0379303036 8825203123

232 (8) P107

233 (1) 1399.6991.P104

234 (2,6,18,26,78) 558 9928324657.P56

235 (1,5,47) 71783 8945155421.164137 4046359401.706168 6540772491.P42

236 (4) 87793.6645 4972460489.790240155 5944165487 8348076969.P64

237 (1,79) L.M

L (3) 14221.2275201.P27

M P38

238 (2,14,34) 7 1957526374 7470241217.P71

239 (1) 14341.170647.421 2476836993 6320790693.P82

240 (16,48,80) 387 5067470401.P49

241 (1) 4339.281971.1837867.4319 5076631439.485573 8216949400 7737217333.P60

242 (2,22) 34849.P101

243 (1,3,9L,9M,27L,27M,81L,81M) L.M

L 487.59779.2051893.859270843.863891 5776957163

M 572023.5062663.1319934691.11600499 1998176173

244 (4) 2441.123450337.74 0767954561.120670 8060834097.

.4100 9064200540 3180588002 8751022497.P43 244

245 (1,5,7,35,49) 174931.P75

246 (2,6,82) 195817.336529.65765641.42214 8236410892 9706493417.P34

247 (1,13,19) 8893.7415 4686428369.62568 5507702750 9409345114 9019411003.P51

248 (8) 4002721.40 0317813041.P97

249 (1,83) L.M

L 1993.57957241.9839624437.351132167 6267937799

M (3) 659 8368647023.P26

250 (2,10,50) 5*.3001.8501.12425 4307278001.P74

251 (1) 693675 1667531821.253809841 6666589323.

.1037789 0514900640 8407330991 4577355481.P49 251

252 (4,12,28,36,84) 12097.2153089.1 2392243803 5505085089.P39

253 (1,11,23) 7591.2591870 7093150367.P85

254 (2) 509.3049.10641077.P107

255 (1,5,17,85) L.M

L (15M,51M) P31

M (3,15L,51L) 443701.214169911.9442803 6319693051

256 2*.12289.8972801.8 9120612452 0373602817.P90

257 (1) 1543.5703 9521761081.68833 7912506999.P91

258 (2,6,86) 1033.349 6872198697.242659267 9459609727 7813268849.P37

259 (1,7,37) 3109.4 4126729767.P90

260 (4,20,52) 521.1 0080658121.103709302 9970883601.

.9019 4942772325 0036534561.P37 260

3+ Prime Factors 72

261 (1,3,29,87L,87M) L.M

L (9M) 5743.51679.2178829.1 6944904567.79731 9240844141

M (9L) 1253323.25292 9176627447.5367025019 4350899771

262 (2) 2621.P121

263 (1) 255637.224602 1051782237.887 1689539165 8487957534 8145255837.P72

264 (8,24,88) P77

265 (1,5,53) 43620060 3555041251.45023598 0033427820 9442352001 2240471861.P45

266 (2,14,38) 144173.17837429.7755867337.71 9738936617.P69

267 (1,89) L.M

L (3) 1069.2137.P36

M 59809.6499 5477807679.7484 1414690373 7647116457

268 (4) 3217.22 0876757609.330315332 6731482337.98487 3462506935 1700096193.P68

269 (1) 61333.249574 1091772787 2704602454 7752272155 0255178496 9894669367.P68

270 (2,6,10,18,30,54,90) 150612481.2 3523434563 5395687521.P41

271 (1) 22 0586933947.68 8981583287.194045 0784379411.

.2316988319 5377405381 8211877893 9772220401.P51 271

272 (16) 859 1440291969.3013886 3687125057.301679465 3198205857.

.61682 7139532888 7598987777.P50 272

273 (1,7,13,91) L.M

L (3,21L,39M) P35

M (21M,39L) 28393.14141401.180 5159280880 7180134513

274 (2) 344693.1832939 0240606021.4624905272 2878623693.

.2 0182045287 8622271249.P68 274

275 (1,5,11,25,55) 669901.1067981089 6242619199 7633771900 9583271701.P51

276 (4,12,92) 4897293 1186135304 7590941283 5121446993.P48

277 (1) 13297.430352328 7618134583 8699618577.

.101071313 3807735993 1914092334 7831746047.P61 277

278 (2) 557.1107553.820739 8122145081.

.1 3857905391 4532924856 0623663377 6204574597.P67 278

279 (1,3,31,93L,93M) L.M

L (9M) 2791.31249.229897.259381279.6186894751.19 7940355003

M (9L) 6866191.P37

280 (8,40,56) 73361.4035574481.41920873 4084813681.

.1220821695 4739853533 6209894561.P31 280

281 (1) P134

282 (2,6,94) 1129.79675153.194235961.12775410 0489414563 4521793241.P42

283 (1) 5 4298507310 9767895287.1463553505 3690596883 4259447335 0302719109.P75

284 (4) 569.2578667177.6162 5929359409.418441933 0738062569.

.6531654 9893744883 9705668161.P63 284

285 (1,5,19,95) L.M

L (15M,57M) P34

M (3,15L,57L) 571.11971.79801.1079 1973166969 3201297881

286 (2,22,26) 8724847561.P105

287 (1,7,41) 2236879.6330 6570925501.P95

288 (32,96) 1153.64513.602627329.26703726 3019450369.

.1859016 5287278431 7405136897.P32 288

289 (1,17) 3766249.17906 1915490699.976562 1200099707.3105099 2819328421.P77

290 (2,10,58) 2881441.1027258301.7 3865407988 1247833101.

.4 9426156272 8311167740 4623687381.P40 290

291 (1,97) L.M

L 95 9416050162 6613625431.19895 4940561726 0510054951

M (3) P46

292 (4) 6 5138399321.104701333 8807636329.P109

293 (1) 1759.3517.10 3483820887.

.2 0780276596 9432331619 6007798843 4598533665 1264184394 2412939027.P62 293

294 (2,6,14,42,98) 3663241.335518533 7854292321.82 4021592153 1652188201.P34

295 (1,5,59) 8383 5947865035 7772625467 9106621746 3181694871.P67

296 (8) 593.635809.268282561.3891902129.P111

297 (1,3,9L,9M,11,33L,33M,99L,99M) L.M

L (27L) 1783.99793.1016568 2236858831.488537229 1761429931

M (27M) 8317.20282131.P32

73 Prime Factors 3+

298 (2) 186941928 8028691397.7737300 1782154069 2623612357.P97

299 (1,13,23) 7177.P123

300 (4,12,20,60,100) 4381560917 0698610111 3661638401.P47

301 (1,7,43) 110 2374554737.2169 4424885281.19483258 0010527453.

.483 7744920864 5126517403.270047 0969991491 3139678709.P30 301

302 (2) 7853.1 3844891350 7025345101.P120

303 (1,101) L.M

L (3) 602 4412974817.P35

M 607.8345 6172594763.P32

304 (16) 440889377.10352 8103847937.9 4945647754 4482173089.

.709 4529754938 6869505761.P71 304

305 (1,5,61) 61*.185920212 4882540174 9096753771.P85

306 (2,6,18,34,102) 1138519513.P83

307 (1) 7369.174991.

.1252007558 8583927119 8618143632 3228650661 8933647673 9882561061.P78 307

308 (4,28,44) 617.7393.9281273.19593113.4765079089.P84

309 (1,103) L.M

L (3) 524683.P43

M 2473.48823.11719753.1 8099109531.5433 3163344733 0149089377

310 (2,10,62) 896521.1797 6301320412 3307825981.P86

311 (1) 1867.14929.365446771.1 8359463907.7 9080104083.

.9981601 6210593432 2661720903 6989769093 8944158421.P64 311

312 (8,24,104) 33616129.13 6490566369.78 1034520613 0739694241.

.47654 8926183681 4334614753.P27 312

313 (1) 1879.3391669.2 2756646221.

.877980 7153223112 9398615979 1300437632 2927154745 0248050603.P73 313

314 (2) 11933.852197.1908149741.8936 9572539268 0413744461.

.96 6995235367 9047877391 5402520828 2185568073 9202577469.P54 314

315 (1,3,5,7,15L,15M,21L,21M,35,105L,105M) L.M

L (9L,45M,63M) 631.2854 6729429051.87968773 9198168741

M (9M,45L,63L) 70755931.1430 4604474441.3051 6557898331

316 (4) 362738297.2721 4039358257.

.920 5548037958 9019850908 4164391722 5013086393.P84 316

317 (1) 76824 6550959303 0901634756 6008213507.P116

318 (2,6,106) 61663087 9940461849.P82

319 (1,11,29) 85209367.1088976043.804689 7007972747.P101

320 (64) 641.7681.15361.P112

321 (1,107) L.M

L 6961772887.P42

M (3) 2428745707.12 1796293627.6434 3166735091.845975 2648176649

322 (2,14,46) 3221.14813.339389.1289933.3 5348799361.2 1440121871 9540398701.P76

323 (1,17,19) 122985481.371973907.521988673.783844 5147111847.

.2283055 4079969025 5462485437.1 8482129356 4568727265 6073991399.P40 323

324 (4,12,36,108) 2593.1181032099 8429450817.P81

325 (1,5,13,25,65) 2455144 2094962901.7988981 0247805351.

.83 1274677941 9155403851.P60 325

326 (2) 653.105451873.380998157.P136

327 (1,109) L.M

L 58207.26 2434507271.38621 6700924079.17 1945002981 2245459679

M (3) 15068161.1347690607.P35

328 (8) 1365137.44169487 7809321478 6738702801.P119

329 (1,7,47) 36913801.177140839.

.2467707882 2840014266 6527790367 6806291837 2697435241.P67 329

330 (2,6,10,22,30,66,110) 11132694 9838019521.P60

331 (1) 184910503.1627 4984685283.973800 1250783041.

.7723672 9936485880 4002166689.418381785 5047682878 9641439099.

.126 6544637977 8380290721 5861464223.P33 331

332 (4)

458427 8084645993 6019895819 0584523975 5685770609 7863624430 6691569817.P91

3+ Prime Factors 74

333 (1,3,37,111L,111M) L.M

L (9L) 94573.P47

M (9M) 37*.9346 3940382121.P36

334 (2) 11902045 9743670996 7401788193.P132

335 (1,5,67) 2313511.20391451.155110914 5231525881.P95

336 (16,48,112) P92

337 (1) 6067.2671903153.2720222160 2595580819.P128

338 (2,26) 677.4733.1 8461679653.122643 7838000857.P118

339 (1,113) L.M

L (3) 16273.1 1179590817.105291589 4677891021.6 1279685650 1249407843

M 29833.1783853257.50 6559378229.P29

340 (4,20,68) P123

341 (1,11,31) 188550935 1367839781.P125

342 (2,6,18,38,114) 10 8541352593.1 5085134137 4363111068 6752766593.P62

343 (1,7,49) 7812169.20732293.272 0105575909.P114

344 (8) 128657.144481.2291041.

.31048 7139192810 2771904226 5996578367 0503820001.P100 344

345 (1,5,23,115) L.M

L (3,15L,69M) 2368771.P37

M (15M,69L) 691.128341.551312071.59285 3826362973 7043659561

346 (2) 384 1314164761.343548 6499404173.267002 8633069844 4533375884 2608816261.

.7655977 6114775888 3067493387 6804065150 9417955829.P54 346

347 (1) 6247.

.1005 3495805459 4100227882 9932925047 4414487143 0755023916 9249631491.P99 347

348 (4,12,116) 182353.481 7492939569.4493 0774821201.P76

349 (1) 5572311991.740 7454871941.

.426009 0101934906 4015118607 0666497674 2488814947 5437965293.P88 349

350 (2,10,14,50,70) 701.76494601.396 5240475701.

.78261970 7889134251 3822950701.P64 350

351 (1,3,9L,9M,13,39L,39M,117L,117M) L.M

L (27L) 53353.132631669.P39

M (27M) 818598691.P43

352 (32) 16193.83 7098017537.15 5889049998 4054802753.

.104 5661879039 9974768577.P94

353 (1) 116491.25005109.9173204143.19837 4909762570 9987827124 1610596583.P112

354 (2,6,118) 2833.647184217.360 7388390567 0934697729.P76

355 (1,5,71) 24 2834178917 0077318171.77101 3532751185 7271933070 6907807691.P78

356 (4) 132439 1188753961.10088 1647271932 3641320284 1221800250 6432441993.P109

357 (1,7,17,119) L.M

L (21M,51M) 19993.75750403.P34

M (3,21L,51L) 1429.2540413.P37

358 (2) 2672113.662035081.24439735 6813836123 7413406563 0281909453.

.3501 5783318502 4103698007 1529217268 6729997039 3693480081.P64 358

359 (1) P171

360 (8,24,40,72,120) 154081.411841.639 2869671429 3737465281.P58

361 (1,19) 5043093229 6055082234 9386758900 2890022913 7560062061 0676536009.P104

362 (2) 763075201 9350835648 0754903056 3112466181 5894771562 499785435\

0 3349491241 1848845273.P93 362

363 (1,11,121) L.M

L (33L) 12233101.1 6546444597.4597837 7666660209.328345879 7463551323

M (3,33M) 959773.P47

364 (4,28,52) 103793 1263948489.2699198977 4201983441.

.80202 6805200667 2644765857.460991 2148703593 8900247761.P53 364

365 (1,5,73) 5391 6798151651.P124

366 (2,6,122) 4315877857.912090 4794443833.

.1514238 3899497189 5970075186 6370326369.P53 366

367 (1) 2203.127717.1684531.237844627.1663595587.P143

368 (16) 5153.359750177.405709 1512834561.P141

369 (1,3,41,123L,123M) L.M

L (9M) 2953.5167.21328201.108348733.3137764 2884995717.118525642 9685687017

M (9L) 739.3691.379333.14486905 8547782823.P29

75 Prime Factors 3+

370 (2,10,74) 438 1676976961.27 5073912489 1405236961.

.27 9481701520 7363367454 7788754515 2354693836 5257447941.P52 370

371 (1,7,53) 1635876271.

.14476 9058919458 5103200603 5757941878 6398249085 9076589087.P86 371

372 (4,12,124) 1489.8929.P108

373 (1) 23051401.47264323.P163

374 (2,22,34)

1 9811626811 7793364489 3386577644 4612053732 9949975671 1793291673.P93 374

375 (1,5,25,125) L.M

L (3,15L,75M) 751.1328097751.2 1064949251.P26

M (15M,75L) 19315501.396984751.10 4194346251.6 4506329835 0892992751

376 (8) 3 4661148934 2975094643 1810917457 7647787217.P136

377 (1,13,29) 20359.235625297 5255061850 9706405404 4982424373.

.15 2331777159 6322836437 0910668786 3619142669 4214726481.P67 377

378 (2,6,14,18,42,54,126) 46652761.1 7135190577.19205 9200375688 9342201617.

.13281797 9467416281 3276442193.P34 378

379 (1) 54577.404773.1 6367342401.1364267766 2261846929.P141

380 (4,20,76) P138

381 (1,127) L.M

L (3) 2287.9044179.239803687.11523406 9559915311.9822 6629000258 3483831641

M 25312879.4175 7061638619.39916 4334498031.93148 5600498622 3962601399

382 (2) 2269 2469873273.34 0431565780 2492060073 1123157485 3128109497.

.1215 8370890363 9879973495 9351436260 9729786984 2950682855 7177893449.P64 382

383 (1) 16087.66643.2665075 5183610275 4532873191.

.35548 3442078915 6304338960 5694229601.P113 383

384 (128) 96562177.1 4674490535 9829703705 4624388609.P84

385 (1,5,7,11,35,55,77) 267961.8671391191.P100

386 (2) 773.10037.383882275 3555017509.

.5 8830475411 2883678447 4215520186 2596737166 1805985600 4866883157.P97 386

387 (1,3,43,129L,129M) L.M

L (9M) 2714419.145 6674304231.1845670 0293426547.P26

M (9L) 113779.219461509.2877580297.P38

388 (4) 3881.1371903593.1589 3923613753.8224 6428662353.355701 2689748017.P128

389 (1) 9272983.1 0481906411 1378773911.P159

390 (2,6,10,26,30,78,130) 29641.4598 7689333080 7555241601.

.25 6034790489 8140291876 7053418641.P33 390

391 (1,17,23) P169

392 (8,56) 4013297.14 6474084177.38024402 0587260397 4671499998 2993724241.P105

393 (1,131) L.M

L 1059084 2001576743 3134846003.P37

M (3) 751 8277682653.10801 1509521661.P35

394 (2) 4729.3769069 5169559602 3389047257.267492722 4569187085 6668118709.

.3468634 7429027819 7160179226 2323656541.P92 394

395 (1,5,79) 1512896611.22471 0401159091.9055134918 2041304581.

.2482311 9671322298 2912577249 3069685781 4714635721.P60 395

396 (4,12,36,44,132) 3169.202753.251857.

.64059 8969316888 3922895108 6903228995 4861745217.P56 396

397 (1) 2383.20750 0138140457 4195288577. C162 397

398 (2) 797.P186

399 (1,7,19,133) L.M

L (21M,57M) 101347.68484 3574367443.P32

M (3,21L,57L) 22536 8649712249.P38

400 (16,80) 3566529601.1 0926991678 2146175254 7859759791 1544053601.

.1874223278 9643925442 8480639539 9125242053 5674502401.P54 400

401 (1) 67369.90728 4546446671.P171

402 (2,6,134) 102913.2450593.359904169.P107

403 (1,13,31) 1380679.5643613.58505186 1510921949.1171444424 2841726569.P123

404 (4) 809.19383113.9582 2765807521.2045949 9102752483 3661928649. C141 404

405 (1,3,5,9L,9M,15L,15M,27L,27M,45L,45M,135L,135M) L.M

L (81M) 811.8101.199 6174311913 5831696601.257 8322796210 3389358961

M (81L) 4051.21871.1 8229028941.P34

3+ Prime Factors 76

406 (2,14,58) 29*.11575061.527408617.6993945340 0809619397.P124

407 (1,11,37) 10516 5858391660 3554691273.

.3893975392 3942349791 7705875902 6329248057 1631125599 3968038353.P89 407

408 (8,24,136) 6529.40801.205633.38 5090502977.2622 6987237313.

.41354119 7617738591 0417311937.P56 408

409 (1) 4499 0594652186 0298675348 2277322389. C161 409

410 (2,10,82) 821.48481 7063231279 9574471537 7307892089 3674467718 855\

6928212 7854094521 8943780321.P76 410

411 (1,137) L.M

L (3) 4111.5729341.42526171.P47

M 823.236737.435441 4202063707.P42

412 (4) C195 412

413 (1,7,59) 7842871.56306 4170179125 2401779091.

.166504 4823061670 8601288427 1297249970 8964087426 7332635238 8419438037.P70 413

414 (2,6,18,46,138) P126

415 (1,5,83) 2514291180 0287768941.540057 0497228615 2865526836 3133642241.

.2680 6927832383 5106581968 0276840547 0120785821.P59 415

416 (32) 4993.P180

417 (1,139) L.M

L (3) 283424059.1 0609220593.P47

M 7507.5699 7555455089.P49

418 (2,22,38) 389877797.655485029.

.2534443310 3299980839 3913682337 6913635978 4966146017.P105 418

419 (1) 105821803.351391142 1453530857. C173 419

420 (4,12,20,28,60,84,140) 162410641.

.12 0269035510 4239137746 7167792800 7008342081.P43 420

421 (1) 47610049.5 0211565461 3630819781.P172

422 (2) 7670841701.22387337 4213734957. C174 422

423 (1,3,47,141L,141M) L.M

L (9L) 115587289.P58

M (9M) 1693.5077.P59

424 (8) 10177.3866289 1961096369.92 1944620625 5272753793. C156 424

425 (1,5,17,25,85)

43 3452873332 0723137260 4231559752 2124552527 7078805593 3177518001.P92

426 (2,6,142) 586611 7885007113.173421781 5959742035 4920598611 1838880593.P80

427 (1,7,61) 7687.4143 0759177008 7139357807 3601501739 9172186159.P125

428 (4) 857.344969.1638707569.5518555817.P175

429 (1,11,13,143) L.M

L (33L,39L) 859.20593.33531499.P43

M (3,33M,39M) 1680823.2 0734454782 8773831191.P32

430 (2,10,86) 10321.P157

431 (1) 56893.93097.400 4945559757.P183

432 (16,48,144) 295548481.17558 3305105982 6262077377.

.49 6666813922 4533741291 8788359561 2533403009.P63 432

433 (1) 5197.25981.1 0986786121.2545 6411101231 8168303877 7028652229.

.4078872265 9547529901 9820596411 3561121059.

.487198 0217050296 4448205757 2922940672 1583796327 5487416471.P60 433

434 (2,14,62) 6901360369.2 0367228533.

.12 2071152215 5420008997 3694506383 7803793849.

.74755 0150409735 2391068612 5964808828 9633705094 7716562757.P56 434

435 (1,5,29,145) L.M

L (15M,87M) 1741.241485153 2956058641.P32

M (3,15L,87L) 117732751.176 9737810303 4098194871.3434 7704879594 4439672921

436 (4) 679 7644660321. C194 436

437 (1,19,23) C190 437

438 (2,6,146) 73*.1753.277 9774652737.9351 8312848897.23387 1539094553.

.339342 5731509203 5052192529 1350005172 9653155129.P47 438

439 (1) 13171.2724377809.P196

440 (8,40,88) 881.8665361.1695 7699255201.18671837 9800641041.P113

77 Prime Factors 3+

441 (1,3,7,21L,21M,49,147L,147M) L.M

L (9L,63M) 7057.50987787 1418877193.P39

M (9M,63L) 9 8502708151.1223133 5108297593.P34

442 (2,26,34) 15913.469162 8515400581.4613549991 4463796800 7494516453. C134 442

443 (1) 163897597.1564046941.8223046627.

.2138789 4903954968 8200498840 6468166957.

.12 1903715323 3231249505 1231590589 2210073619.P107 443

444 (4,12,148) 1777.26641.3118657.3001750 8771174721.

.623143 7011177476 0591818641.5470240 0492789876 3001725441.P55 444

445 (1,5,89) 2671.387151.2406276091.113 7421775551.

.1 6921751616 9782452347 2176854691.

.7404003964 8368445301 6635136785 8325937021.P68 445

446 (2) P212

447 (1,149) L.M

L (3) 15199.P67

M 1789.1888129.1533661 6994395573.P46

448 (64) 9857.P180

449 (1) 490309.P208

450 (2,6,10,18,30,50,90,150) 444729601.P106

451 (1,11,41) 3447 0854184059 3714474142 9325166536 1355258439.P148

452 (4) 567550405 5555452009. C195 452

453 (1,151) L.M

L (3) 907.124123.1112112283.812 4780428931 0388928683.P32

M 527707 4253352507.87276 4883169167 7022518793.P32

454 (2) 34622041.1 5911582689 3295896177.P188

455 (1,5,7,13,35,65,91) 8191.1163162 3231051226 0008605351.

.232 6772857561 3078082503 4268661441.

.4146529 4801410855 5285696033 1478872471.P39 455

456 (8,24,152) 3607 5741132577.19384079 5905614047 8925730113.P97

457 (1) 13711.3 5545368601.P203

458 (2) 19039061.P211

459 (1,3,9L,9M,17,51L,51M,153L,153M) L.M

L (27M) 889321681.P60

M (27L) 54163.78031.1309455397.P50

460 (4,20,92) 207893 0296693441.P153

461 (1) 29790 5117118757.1092507454 9964550223 6209994501.P176

462 (2,6,14,22,42,66,154) 80554321.848 6679729529.2674 6675457856 4573944913.P71

463 (1) 6 1490892007 7491091197. C200 463

464 (16) 929.5569.22273.218081.1330317697.

.706859 6009480324 1918468195 8214604001.P153 464

465 (1,5,31,155) L.M

L (15M,93M) 103 4275595120 7581907331.P35

M (3,15L,93L) 31*.86491.368007511.3366573961.1 1053051861.P24

466 (2) 373300 8450772109.3240344 4713283317 2294865909. C180 466

467 (1) 2803.70051.109279.910829329.2670 8093498791.

.365 4859061846 7087946411.P164 467

468 (4,12,36,52,156) 1873.6550129.1179103537.280 6926872257.P106

469 (1,7,67) 433357.6343 6321186255 4720034763.

.178106 0836216605 2244563493 6018175969.

.74687736 9350579418 3998739424 5443159578 0924233987 1631765809.P67 469

470 (2,10,94) 941.19857447 1781867981.2308 8848006055 8520166964 3273722801.P122

471 (1,157) L.M

L 3769.15073.1784 1610629967.P54

M (3) 207241.366439.60823 6750751538 9017346631.P39

472 (8) 4721.50033.322849.6728833.17266 7088595999 7098473137.P177

473 (1,11,43) 17029.771937. C191 473

474 (2,6,158) 43609.140144737.3363 4269059857.

.99013 3959353211 4183715940 7448042998 3472483593.P78 474

475 (1,5,19,25,95) 21 1442241001.863 3531821351.1148 3171111101.

.685897867 6339837818 2263352281 9673527898 9366499151.P86 475

476 (4,28,68) 953.12377.169 7906858240 6612342641. C154 476

3+ Prime Factors 78

477 (1,3,53,159L,159M) L.M

L (9M) 7 6067921719.146 9954561797.187888 4313072335 9952218299.P26

M (9L) 6679.P71

478 (2) 5737.585073.98 7411924535 4857183204 3875807001.

.27507972 8776659654 0872823119 4374925511 9521753433.C139 478

479 (1) 158071.7167757.775957488 2776161031. C197 479

480 (32,96,160) 1675 3580048641.P109

481 (1,13,37) 418471.P201

482 (2) 41453.202 4047465201.1897 8715998857 4015580249.

.123664507 8813169942 2047519161.P161 482

483 (1,7,23,161) L.M

L (3,21L,69M) 1105185 2746656852 7241514727.P38

M (21M,69L) 300427.464842 7619401077.P42

484 (4,44) 359129.239614495 7913940993.17186 0545159184 0592561881.P162

485 (1,5,97) 34 9432620905 8058496158 8238939911. C152 485

486 (2,6,18,54,162) 139969.6858433.28985 2621958953.

.7484775976 2175746103 4460325306 5975701394 8740459879 5720554449.P69 486

487 (1) P232

488 (8) 977.17569.620 1778675681.102893 4133146605 5350503352 6892798001.P174

489 (1,163) L.M

L (3) P77

M P78

490 (2,10,14,70,98) 10781.1113918 1433126881.4261654059 4017306841.

.19398975 3816758691 4233386033 4129748413 0186229150 9811887541.P64 490

491 (1) C234 491

492 (4,12,164) P153

493 (1,17,29) 11833. C210 493

494 (2,26,38) 3 1310496617 4242552806 8232396297.P176

495 (1,3,5,11,15L,15M,33L,33M,55,165L,165M) L.M

L (9M,45L,99M) P58

M (9L,45M,99L) 2971.6 5022904203 0120136981.P33

496 (16) 13575 2657940481.2957214968 1736256801.

.146978815 0814295786 4698198881.C168 496

497 (1,7,71) 23857.1010899. C191 497

498 (2,6,166) 15937.6623401.71 6004063284 3551703449.

.216 6204366043 1304356647 5914989777.

.382778 1058655183 1262057892 8985337679 0116016057.P46 498

499 (1) C238 499

500 (4,20,100) 150001.29 2503690001.3650259 4199089001.P158

501 (1,167) L.M

L 8017.44089.P72

M (3) P79

502 (2) 1017977689.P230

503 (1) 3019.36217.148 6011375144 4596593749 1402579869.P200

504 (8,24,56,72,168) 2017.334000 2808701217.P119

505 (1,5,101) C191 505

506 (2,22,46) 1013.16 3383816509. C196 506

507 (1,13,169) L.M

L (39L) 1123288921.P66

M (3,39M) 2004679.2 3944746073.5 7337058923.67797 5281092877.P33

508 (4) C241 508

509 (1) 39115633.164455016 9868135799. C217 509

510 (2,6,10,30,34,102,170) 1221 2601654622 8863018311 5844288801.

.28035 9315899520 3977569191 2430255721.P55 510

511 (1,7,73) 3067.14980477.11 8595256151.59501 0167626673.

.8115855432 5127756012 0467057191.3865306830 5841670731 2717146149 0704904967.

.1079321 7203542650 7062493289 6141006415 1855304581.P55 511

512 2*.134382593.2 2320686081.1207 9910333441.1 0051262734 7897906177. C193 512

513 (1,3,9L,9M,19,57L,57M,171L,171M) L.M

L (27M) 13339.237 0225727729.1892 2857792733.P48

M (27L) 2053.796177.36441469.3660098 6221934268 5069818843.P34

79 Prime Factors 3+

514 (2) 149789881.1391013511 9037034721. C217 514

515 (1,5,103) 3490445461. C186 515

516 (4,12,172) 3078 3585638170 6655023029 4877573355 3745441793 3070976\

260 0363328216 1500251889.P87 516

517 (1,11,47) C220 517

518 (2,14,74) 1230769.979486201.3 4380007061. C181 518

519 (1,173) L.M

L (3) 1039.89269.3420017971.4 8064711119 3166117297.P44

M 1 6420688749.P73

520 (8,40,104) 1218488 1562806226 3103880401.10 4623988534 4819027789 2819673521.

.125 8665832640 3458819574 4509082241.

.812 2589491866 4808937256 9344417399 1689595601.P52 520

521 (1) 162553.842145186 0752373577. C224 521

522 (2,6,18,58,174) 2089.5795 1947043609 5816296129.

.1166 7192213594 8202223385 3557270249.

.2738 0528417882 5576861122 7564712946 1671050857.P57 522

523 (1) 1146386713.P240

524 (4) 1049.177113. C240 524

525 (1,5,7,25,35,175) L.M

L (3,15L,21L,75M,105M) 12571651.368748451.1 0926062701.5 2316163901.P21

M (15M,21M,75L,105L) P58

526 (2) 36821.P246

527 (1,17,31) 619753.8 5310191396 4277975211.P203

528 (16,48,176) 2113.59207 0831406883 0278113737 9380689029 4756873473.

.26270733 7319860778 2564265947 2435411723 2793156673.P58 528

529 (1,23) P242

530 (2,10,106) 1061.2660013821.3976724621.72 5413727484 1765833361.P155

531 (1,3,59,177L,177M) L.M

L (9L) 1953 8371812403.P70

M (9M) 1063.59473.174169.P70

532 (4,28,76) 56708009.57 3459238801.P187

533 (1,13,41) 1 8795926994 2189179513.42142 1222539025 5809011297 2368111079.C175 533

534 (2,6,178) 46993.741193.2706313.15733777.42487177.

.1 2051201553 2869945521.891 4513728464 3184873516 2460907849.P84 534

535 (1,5,107) P203

536 (8) C252 536

537 (1,179) L.M

L 25921693 8551414773 0111519261.P58

M (3) 16111.556332001.2192254171.5 0184671268 6893762203.P42

538 (2) 26 2192073059 5608239277. C235 538

539 (1,7,11,49,77) 78252580 4283438601.282 1773462138 9695902213.

.540 3248848002 3447217247 4265352251.P128 539

540 (4,12,20,36,60,108,180) P138

-------------------------------------------------------------------------------

543 (1,181) L.M

L 1087.551689.19200481.5 1815235259.P60

M (3) 16617973.3364378 9547415373.137056 7529930144 0100413601.P37

549 (1,3,61,183L,183M) L.M

L (9L) 668569 7047209949.P71

M (9M) 222733945 8166602220 3950859117.P58

555 (1,5,37,185) L.M

L (3,15L,111M) 4441.1487523211.120279530 0401566511.P39

M (15M,111L) 1107781.17939821.79705 3985929838 8628345851.P30

561 (1,11,17,187) L.M

L (3,33M,51L) 1123.P74

M (33L,51M) 1 1849045357 7585218795 5082288041.P46

567 (1,3,7,9L,9M,21L,21M,27L,27M,63L,63M,189L,189M) L.M

L (81M) 28408969.P70

M (81L) 2305458 7993795681.P61

3+ Prime Factors 80

573 (1,191) L.M

L 2293.7744669.36128797.18 2167354724 3978116789 0822031947.P43

M (3) 515701.472343383.2860788451.2918238 6445021501.

.19 7168881913 9946257137.P29 573M

579 (1,193) L.M

L P93

M (3) 12739.251287.P82

585 (1,3,5,13,15L,15M,39L,39M,65,195L,195M) L.M

L (9M,45L,117M) 40763971.13482 5306053231.P48

M (9L,45M,117L) 16381.P65

591 (1,197) L.M

L (3) 10639.1950368 3851411374 8972287141.P63

M 4305 0380402116 2564249547.P71

597 (1,199) L.M

L (3) 11941.188653.334 7561789826 7731167713.P63

M 29851.1319 2248510319.6 6344717601 6922740823.P57

603 (1,3,67,201L,201M) L.M

L (9M) 14592601.419046409.57 4307266483.296 0693160319.P55

M (9L) 19932769.613 4598978931.45867 4586623531.P60

609 (1,7,29,203) L.M

L (21M,87M) 101 2563218857.P68

M (3,21L,87L) 2437.99877.29 5132983277 6462049641.P51

615 (1,5,41,205) L.M

L (15M,123M) 113161.1 8428901811.2073 7470706861.P48

M (3,15L,123L) 1231.1 5910442371.2 4299529451.37052155 8779523271.P36

621 (1,3,9L,9M,23,69L,69M,207L,207M) L.M

L (27L) 60 1686824239.P83

M (27M) 352381483.1769 2787399887.373808596 0401704053.P55

627 (1,11,19,209) L.M

L (3,33M,57L) 21319.15 0368908141.3888632195 6825290098 8590466647.P42

M (33L,57M) 140449.237150211.P72

633 (1,211) L.M

L (3) 103813.50165 5861343941.2635 9241641324 2632502019.P57

M 210157.1044 3674741443.114491682 9273864340 6007298913.P55

639 (1,3,71,213L,213M) L.M

L (9L) 83071.2478047 5516004633 9950230315 8935008498 5539501303.P50

M (9M) 1279.37874703 3568494391.P80

645 (1,5,43,215) L.M

L (15M,129M) P80

M (3,15L,129L) 1291.2186551.33530971.4691 4743951431.P50

651 (1,7,31,217) L.M

L (21M,93M) 4085677.90012469.724905427.204 2545894999.P50

M (3,21L,93L) 3907.5209.2190 7225905558 3303411259.P56

657 (1,3,73,219L,219M) L.M

L (9L) 550246699.17 7530280013.1058 9180944779 0049295835 4359420721.P51

M (9M) 50283 9510741577.1169423 6886788911 0665870097.

.24928735 4564656503 8715607009.P35 657M

663 (1,13,17,221) L.M

L (3,39M,51L) 29432 2681812589 2905544757.P68

M (39L,51M) 1327.577932 8325617809.2274028 9380659761.

.5764761 8688514553 8438910347.P30 663M

669 (1,223) L.M

L (3) 3 7103918837 9643404841 7989052519.P75

M 393373.22084360 1603050849 9618943893.1349219496 4124692984 2999472177.P45

675 (1,3,5,9L,9M,15L,15M,25,45L,45M,75L,75M,225L,225M) L.M

L (27L,135M) 28351.33751.270001.2443501.166148551.P57

M (27M,135L) 7373701.4731797 3274744751.100522 9664190408 0110450401.P38

681 (1,227) L.M

L 4 4816172799.6 4651199444 0639461432 7660870683.P67

M (3) 5449.1 3439720233.8808641186 3544059401.13 1004052796 2707397387.P53

81 Prime Factors 3+

687 (1,229) L.M

L 2749.72823.1021849 3614783823.P85

M (3) 37 4813879071.50856 8707949460 3710866459.P73

693 (1,3,7,11,21L,21M,33L,33M,77,231L,231M) L.M

L (9M,63L,99M) 34651.9412658641.1 6811532739.53344075 3503058171.

.197405996 4778769407.P26 693L

M (9L,63M,99L) 347887.450451.6296599.326840715 6648692773 4971544953.P40

699 (1,233) L.M

L (3) 205507.21664 4478591019.

.433 5257933548 0612959689 3525641388 8403027203.P49 699L

M 413 1567084277.5842346372 3552958571.P79

705 (1,5,47,235) L.M

L (3,15L,141M) 8461.1694821.P79

M (15M,141L) 663521836 0523583511.497 8747544747 8272436561.P46

711 (1,3,79,237L,237M) L.M

L (9M) 10 3019069607 5822904523.37 1046268830 4186508633 9016005581.P59

M (9L) 1423.631556143 5974972722 8914496979.P80

717 (1,239) L.M

L P115

M (3) 48757.2 7081394032 5189568943.P89

723 (1,241) L.M

L 48223 1832428981 7291969211.P91

M (3) 1447.5578105 0264403179.981545 6238411667 4301868417.P69

729 (1,3,9L,9M,27L,27M,81L,81M,243L,243M) L.M

L 2917.1 0021812319.7478 9972644573.

.128802173 7014121002 9950570765 8931451317.P51 729L

M 1459.P113

735 (1,5,7,35,49,245) L.M

L (3,15L,21L,105M,147M) 145531.498331.51475 8172908631.P55

M (15M,21M,105L,147L) 1 4926003681.7479177 2471622991.P54

741 (1,13,19,247) L.M

L (3,39M,57L) 1483.3173743 4851689997.P84

M (39L,57M) 386214835 7607109294 0921575769.P74

747 (1,3,83,249L,249M) L.M

L (9L) 4483.303283.11370 2119066171.67830497 9257594887 0710879779.P67

M (9M) 80677.32521393.3560259 5168256401 4357529129 2143426798 3606166613.P59

753 (1,251) L.M

L 542392 2557089335 7477659679 7033821670 6551100947.P75

M (3) 27 8917009002 6586683751.47303 7260586313 8117902461.P73

759 (1,11,23,253) L.M

L (33L,69L) 3037.579877.12798259.344800 6837314355 7889186331.P63

M (3,33M,69M) 40844827.42062263.P91

765 (1,3,5,15L,15M,17,51L,51M,85,255L,255M) L.M

L (9L,45M,153M) 3061.9181.42841.3246751801.4 0013904871.P60

M (9M,45L,153L) 279991.P87

771 (1,257) L.M

L (3) 91 3589773688 5657805029.571122 6497438098 1390422735 0343296963.P65

M 13879.78643.14 1034621423.1652541216 9864453773 6573602249.P74

777 (1,7,37,259) L.M

L (3,21L,111M) 83414059.1779148183.16 5773949223.213301 0034304073.P60

M (21M,111L) 1740481.12 7076001907.P86

783 (1,3,9L,9M,29,87L,87M,261L,261M) L.M

L (27M) 13002499.2 0382462097 5729575719.P93

M (27L) 1567.35692 1882778817.5939738 8491670817 8275496891.

.2 4868303321 0140152047 3942574497.P46 783M

789 (1,263) L.M

L 104 3280019867.3297434126 9754568228 4696189325 4254237270 7492068847.P64

M (3) 1579.4284004 3160337151.13661 8938812095 3923741077 8809936721.P71

3+ Prime Factors 82

795 (1,5,53,265) L.M

L (15M,159M) 2519110141.21915 5971856761.35875263 6951732211.

.362047424 0298805411.P39 795L

M (3,15L,159L) 21 9453256125 0465010638 4598423521.P69

801 (1,3,89,267L,267M) L.M

L (9M) 309344599.23 1121501201.14444123 0687236477.

.100510604 8692711751.2 0919389913 5109381487.P51 801L

M (9L) 95665033.2407170521 9862678529.

.81 7576445040 6426848759 7596315740 8264856921.P57 801M

807 (1,269) L.M

L (3) 51918633 9794068966 8569933101.P100

M 54877.25588357.9349454929 8854768677.

.1667 4345340784 2287750181 6329924811.P64 807M

813 (1,271) L.M

L (3) 1627.58537.2230873.847 5830822135 2123383980 6796255183 2652525613.P72

M 1386 3159773521.620145646 6196684552 6233585639.P88

819 (1,3,7,13,21L,21M,39L,39M,91,273L,273M) L.M

L (9M,63L,117M) 301869 7947220411.3968591167 8305092747.P69

M (9L,63M,117L) 7754293.P97

825 (1,5,11,25,55,275) L.M

L (15M,33L,75L,165M) 3301.2113651.12932701.

.282136 9164018545 6610664031 3673268951.P44 825L

M (3,15L,33M,75M,165L) 42888451.102 0438840301.396 1066561651.P64

831 (1,277) L.M

L 1663.114679.1630423.1176 5644789597.

.11 9504555178 8710232689 8353494744 7527269739.P64 831L

M (3) 4407 6407438191.P118

837 (1,3,9L,9M,31,93L,93M,279L,279M) L.M

L (27M) P129

M (27L) 6532 4650043539.P116

843 (1,281) L.M

L (3) 5059.20233.17 2911911281.137 5848322657.143030 5826530107 9714689773.P77

M 35407.559041 5520155419.3299263200 0954655799 3324157253.

.9 3889530611 6877907849 7879249934 0162064561.P44 843M

849 (1,283) L.M

L (3) 25471.

.8 3016114663 1408006954 9501904096 7986472092 1052684321 1654301019.P69 849L

M 1699.6793.2312677.159750 1142432086 5742107785 8031669471 0747482879.P77

855 (1,3,5,15L,15M,19,57L,57M,95,285L,285M) L.M

L (9L,45M,171M) 66969 8075470951.31164267 7077889231.P71

M (9M,45L,171L) 4634 3064339361.P90

861 (1,7,41,287) L.M

L (21M,123M) 49939.65437.4041278 2566432403.

.237114113 8884085837 6555719164 5881523849.P50 861L

M (3,21L,123L) 1723.454609.121776397.1719933601.

.91763 4846841429 2848786084 6109974647.P54 861M

867 (1,17,289) L.M

L (51M) 1279693.2795209.5673649.83 4225827263.3707142967 6781111221.

.443452 7237563776 3996684787.P54 867L

M (3,51L) 494191.P125

873 (1,3,97,291L,291M) L.M

L (9L) 1747.19207.4 0809935673 7585867477.P110

M (9M) P138

879 (1,293) L.M

L (3) 70321.2297707.5 6267724103.41662 9385310769.

.16775194 6286921312 4882198918 8042716237 6891986493.P56 879L

M 17581.162 5466728689.99 5612609941 6515198337.P102

885 (1,5,59,295) L.M

L (3,15L,177M) 1196 6355914190 3028808875 9027416908 8432923151.P69

M (15M,177L) 3541.153991.3239558431.6846630811.123399 3275550631.P67

83 Prime Factors 3+

891 (1,3,9L,9M,11,27L,27M,33L,33M,99L,99M,297L,297M) L.M

L (81L) 42695729 5383741779 2609635043.P102

M (81M) 106921.P124

897 (1,13,23,299) L.M

L (39L,69L) 52027.129169.7161090906 4105842601.2 0538830572 5186615253.

.1451 9259165885 8492795837 1446332297.P43 897L

M (3,39M,69M) 19109689.30250418 8071570951 1811071215 4917677307 3635506699.P72

903 (1,7,43,301) L.M

L (21M,129M) 6045855901.8396466037.P101

M (3,21L,129L) 43*.3613.2 6628205801.3847355158 4154787339.

.6 2085835001 0958430897.P65 903M

909 (1,3,101,303L,303M) L.M

L (9M) 1072218223.8758 7876001150 0587604133.P111

M (9L) 34543.89083.301789.881 4142206721.

.211524 5411381559 8662873977 3550942557 7692165007.P71 909M

915 (1,5,61,305) L.M

L (3,15L,183M) 7321.402601.

.116 8029083343 6277523654 5105178183 6566199312 8293160111.P54 915L

M (15M,183L) 1831.23821111.P104

921 (1,307) L.M

L (3) 5527.12435343.9 4037544541.415443 6629213099 3379842581.P99

M 183 9136588897.P135

927 (1,3,103,309L,309M) L.M

L (9M) 1 6378714333.24 8791041001.24 6060390942 2278394029.P103

M (9L) 3709.7417.667441.1496204418 0614665681.

.1514 0038547438 4804001237 6465100350 3396345909.P71 927M

933 (1,311) L.M

L 11197.6126079.5767346 1824953153.P121

M (3) 2375632591.1 5789599377.

.240 3609388542 3318631121 8753813861 7537886829.P86 933M

939 (1,313) L.M

L 58651 9385070354 0120141889.P125

M (3) 37561.477013.P139

945 (1,3,5,7,9L,9M,15L,15M,21L,21M,35,45L,45M,63L,63M,105L,105M,315L,315M) L.M

L (27L,135M,189M) 2 7390932201 1876278491.P83

M (27M,135L,189L) 1729 7447591971.62224 4499968071.P76

951 (1,317) L.M

L (3) 454579.36324397.424203 1875148351.1 1063690835 4198084399.

.54951 2115983126 5758559246 4987660127 7813687417.P57 951L

M P152

957 (1,11,29,319) L.M

L (3,33M,87L) 170347.63889321.1073843959.206256 5445871789.

.128948319 5503733143.P79 957L

M (33L,87M) 28909057.P126

963 (1,3,107,321L,321M) L.M

L (9L) 7 5319350121.272787099 2921938573.120195805 6381342795 3015581187.

.385307277 1514013478 0820983363.P66 963L

M (9M) 616321.114798284 2062882883.1301207 2099964685 9863046577.

.101890 3915374204 5838694879 9624431573 6990815281.P57 963M

969 (1,17,19,323) L.M

L (51M,57M) 3877.475441789.P125

M (3,51L,57L) P138

975 (1,5,13,25,65,325) L.M

L (15M,39L,75L,195M) 1951.P112

M (3,15L,39M,75M,195L) 5851.12641851.914673296 6527003248 9740651551.P75

981 (1,3,109,327L,327M) L.M

L (9L) 2063874889.9 1755041113.P135

M (9M) 45127.38767159.3399 2611927399.25935 1671880027.

.893974 8369206359.30 4318619971 5894155713.P77 981M

3+ Prime Factors 84

987 (1,7,47,329) L.M

L (3,21L,141M) 2675 5907602439 1843374758 4855183735 9355828727.P89

M (21M,141L) 34519339.55399 8931060051.6 3455377976 3610143347.

.184528579 3688520284 2977571159.P60 987M

993 (1,331) L.M

L (3) 1987.617647.4784 0575696854 9949554133.P125

M 9103 6793334049.

.156904380 9285303951 9623397570 3584287931 3565982819 9624606933.P86 993M

999 (1,3,9L,9M,37,111L,111M,333L,333M) L.M

L (27L) 2615383.

.7926159016 6539092135 9533539904 9388177763 7194832352 2457540677.P89 999L

M (27M) 1999.7993.4836 6655669261.P134

1005 (1,5,67,335) L.M

L (15M,201M) 2011.73 9828812361.27 0964446809 5958739571.

.396067351 9891700360 7412836486 9717451081.P51 1005L

M (3,15L,201L) 164 8757425261.11 4930794313 9037344678 7761823650 0915404671.P74

1011 (1,337) L.M

L 10111.47 5422088807.

.400176665 9074997433 7826438228 2293973424 0851261265 1846790009.P87 1011L

M (3) 2 9676800746 6640363281.1183112 9699419364 8484589397.P114

1017 (1,3,113,339L,339M) L.M

L (9M) 8342589313.91509962 1078019541 3704690512 1821980994 1501498141.P103

M (9L) 258319.4759561.42 3195294979.2495 0462084865 5097819331.

.1621106284 2493949016 9582722443 5827868515 2181951173.P65 1017M

1023 (1,11,31,341) L.M

L (3,33M,93L) 1 9174858828 3063606455 3345052672 0857649051.

.1933 7980565378 1715348899 9309442186 1389450501.P60 1023L

M (33L,93M) 8232 5575332463.9 1622610673 7897927533.

.1575 1552074299 6366169668 3189664217.P75 1023M

1029 (1,7,49,343) L.M

L (3,21L,147M) 7*.4851705 2647620607.P123

M (21M,147L) 374557.596821.4313048 5963642981.90629 4025453882 4227819939.

.335 4356969043 8172668508 5632252323 1704213187.P45 1029M

1035 (1,3,5,15L,15M,23,69L,69M,115,345L,345M) L.M

L (9M,45L,207M) 205 4419284023 2981974341 5245416411 1443173905 5519477161.P74

M (9L,45M,207L) P126

1041 (1,347) L.M

L 6 8927933233 7391235881 4239820687.

.25 4139660710 3142658592 4212227784 3290934557.

.202748 9666453382 5806900061 6761946140 9824120037.P49 1041L

M (3) 2083.5377807.6 2778629657 7630424677 3749286734 8937820421 5295\

658825 7467848331 7963541237.P84 1041M

1047 (1,349) L.M

L 627184828 7482534909.P148

M (3) 60727.77479.898327.2770820587.460776856 8088467088 485731928\

9 1152036252 9656858535 0836901963 6063025441.P72 1047M

1053 (1,3,9L,9M,13,27L,27M,39L,39M,117L,117M,351L,351M) L.M

L (81L) 381350269.828864739.14 7709822354 5681576046 6328504017.

.2387 9893447642 4843597831 3838909315 5014728859.P63 1053L

M (81M) 21061.36 5426184943.P139

1059 (1,353) L.M

L (3) 79615621.23677 1906376385 7822934247.

.195570 0614205790 4203104108 8952820573.

.50 0258793716 4117486897 9755845082 9549801989.P59 1059L

M P169

1065 (1,5,71,355) L.M

L (3,15L,213M) 4261.2236 2247200781.P118

M (15M,213L) 63901.432391.153492061.P115

85 Prime Factors 3+

1071 (1,3,7,17,21L,21M,51L,51M,119,357L,357M) L.M

L (9L,63M,153M) 2143.40277 7955417573.3695455 6187808421.

.648 7658311004 2176390667.8084698606 6584909565 3200462979.P51 1071L

M (9M,63L,153L) 73643 7756465937.P123

1077 (1,359) L.M

L 318793.409261.3668263.1276578871.6 0311487349.12 7112425273.P123

M (3) 803443.51 8094843517.12 0549427263 6831421987.

.447794855 8119325654 3637836329 7310952926 9284647362 9922755299.P74 1077M

33h + 1 = (3h + 1)L:M; L = 3h 􀀀 3k + 1; M = 3h + 3k + 1; h = 2k 􀀀 1:

5􀀀

Factorizations of 5n 􀀀 1; n odd, n < 376

L,M for n = 10k 􀀀 5 _ 745

n Prime Factors

1 2.2

3 (1) 31

5 (1) L.M

L 11

M 71

7 (1) 19531

9 (1,3) 19.829

11 (1) 12207031

13 (1) 305175781

15 (1,3) L.M

L (5M) 181

M (5L) 1741

17 (1) 409.466344409

19 (1) 191.6271.3981071

21 (1,3,7) 379.519499

23 (1) 8971.33 2207361361

25 (1,5L,5M) L.M

L 9384251

M 101.251.401

27 (1,3,9) 109.271.4159.31051

29 (1) 59.35671.2212 5996444329

31 (1) 1861.62555250 8473588471

33 (1,3,11) 199.38 6478495679

35 (1,7) L.M

L (5M) 85280581

M (5L) 211.631.4201

37 (1) 149.1 3971969971.873 7481256739

39 (1,3,13) 79.60845 9012088799

41 (1) 2238236249.507930464 3216687969

43 (1) 1644512641.1 7282755219 8815888791

45 (1,3,9) L.M

L (5L,15M) 1171.169831

M (5M,15L) 297315901

47 (1) 177 6356839400 2504646778 1066894531

49 (1,7) 2273765858 6353111267 7002031251

51 (1,3,17) 90271.317731.65 4652168021

53 (1) 5960555749.1 7154094481.2714536 5052629449

55 (1,11) L.M

L (5L) 11*.103511.190295821

M (5M) 511831.65628751

57 (1,3,19) 117354 1550674807 6408140121

59 (1) 2118024 7636732981.20475 7223065733 8751575051

61 (1) 8419.91 8585913061.1401941 7930717189 8833699259

63 (1,3,7,9,21) 280729.2161279.2379 2163643711

65 (1,13) L.M

L (5M) 2098620 7825565581

M (5L) 131.103415 0930241911

67 (1) 269.1609.26399.245 4335007529.6040 8862365749 7125653141

69 (1,3,23) 139.6211.59 8761682261.886 8050880709

86

87 Prime Factors 5􀀀

71 (1) 569.1860792 9421228039 0832232535 2986911164 4362732899

73 (1) 4853479.5729041.9519524 1517703499 1472620057 6714027279

75 (1,3,5L,5M,15L,15M) L.M

L (25M) 151.3301.183794551

M (25L) 1989151.49892851

77 (1,7,11) 527093491.809 0594434231.1 6271505242 6691233701

79 (1) 20536 7807127911.5852312322 1688392679.3 4412045636 8919234899

81 (1,3,9,27) 4861.11419 6978463809 5598202677 7206637491

83 (1) 20515111.14311 8570670186 8962383741.880400 9594510383 4627376781

85 (1,17) L.M

L (5M) 81 9824111296 9626815581

M (5L) 1531.3456315535 0221618511

87 (1,3,29) 5569.6961.28 8701942506 6220321043 7116612769

89 (1) 179.9807089.14597959.834019001.815 7179360521.2316 6965436368 3130095909

91 (1,7,13) 96806 4779056858 9086355559.174997 3366315297 6533452519

93 (1,3,31) 31*.148429.878851.1729748124 6323931002 4750410929

95 (1,19) L.M

L (5L) 2851.116 0032187891 6922053491

M (5M) 4113691.124557640 2371959291

97 (1) 389.264811.P60

99 (1,3,9,11,33) 143551.1731511.2254 2470482159.15356037 6376050799

101 (1) 593 7018283241.34344873 1139658982 1473854121.P30

103 (1) 3709.28429.591178977 1319873837 1603984809.P35

105 (1,3,7,21) L.M

L (5L,15M,35M) 2122678 3250214361

M (5M,15L,35L) 1736701.11 9461537021

107 (1) 6421.548 6016363791.3541188 5288978941.17216315 0940018661.P24

109 (1) 1091.1007161.1528399.P61

111 (1,3,37) 3109.P47

113 (1) 2939.6329.129499.308491.30 4247586761.208 4303944451.

.62021 6264269531.82 3712317689 0810696379 113

115 (1,23) L.M

L (5M) 689081.29028071.10006297 0166640331

M (5L) 461.691.2855911.824480311.1 7223586571

117 (1,3,9,13,39) 223963741.P42

119 (1,7,17) 239.1429.4999.74 9718268129 1140146079.P36

121 (1,11) 12101.486179.P68

123 (1,3,41) 739.960139.1785961.9025583299.P31

125 (1,5L,5M,25L,25M) L.M

L 3597751.P29

M 28707251.403 2808198751.76718 6663625251

127 (1) P89

129 (1,3,43) 18471511.439559 3496195183 3386625799.P26

131 (1) 2621.23928199.34720241.1681 5642611861.P60

133 (1,7,19) 9311.65171.281429.3257947519.15 2317058321.P41

135 (1,3,9,27) L.M

L (5M,15L,45M) 11071.13 1231569444 9748688331

M (5L,15M,45L) 541.269 4124437306 0650224561

137 (1) 20551.603349.48102071.12171963 1478506669.78 5102730772 2624763151.P39

139 (1) 2152 1602057721.67894415 4602476974 1462601111.P56

141 (1,3,47) P65

143 (1,11,13) 2461 5836446631.5313056676 3791958299.P51

145 (1,29) L.M

L (5L) 1461311.P34

M (5M) P39

147 (1,3,7,21,49) 24556351.5071357999.203 5895040229.P30

149 (1) P104

151 (1) 1175989.2237519.38 9439261961.1279 9319666401.

.2843 8095923233 3425122515 3490677489.P35 151

153 (1,3,9,17,51) 4591.26481241.36014367 2909416579.P39

5􀀀 Prime Factors 88

155 (1,31) L.M

L (5L) 11161.257611.3 1473312961.217 8399917023 5219053011

M (5M) 311.5624951.P33

157 (1) 32029.5129819.2107089779.8616 3144521004 9415390137 1725720169.P55

159 (1,3,53) 177530 5720077559.P58

161 (1,7,23) P93

163 (1) 4599209.40100609.675775181.658215108 7844246659.

.102 5563995838 2857444701 1133455059.P40 163

165 (1,3,11,33) L.M

L (5M,15L,55M) 2311.P26

M (5L,15M,55L) 331.98671 6511563526 7180926131

167 (1) 18371.53441.P108

169 (1,13) 13859.784646 8267059802 8303937208 5276899721.P70

171 (1,3,9,19,57) 19*.P75

173 (1) 1039.3461.170827 2343265311.P99

175 (1,5L,5M,7,35L,35M) L.M

L (25M) 28001.200201.8894201.P26

M (25L) 12601.50051.22661801.1657309151.3810526 3380318401

177 (1,3,59) 198241.3408633704 2065157132 4835367261.P47

179 (1) 359.3581.75539.17315029.1008 9407336238 7242965129.P84

181 (1) P126

183 (1,3,61) 38431.P80

185 (1,37) L.M

L (5M) 2591.P47

M (5L) 30810641.2182932 1837586441.P27

187 (1,11,17) 4200769.120 2338040280 5105241346 3254109792 4516136661.P64

189 (1,3,7,9,21,27,63) 30592 1358183421.P62

191 (1) 112691.60426671.P121

193 (1) 74 9154725101.4068753 8356109192 2623241829.P96

195 (1,3,13,39) L.M

L (5L,15M,65M) 14821.P29

M (5M,15L,65L) 933692761.P26

197 (1) 47 0323176131.36220 4827770839.P111

199 (1) 53731.P134

201 (1,3,67) 1 2482287321 9506311260 9361470351.P63

203 (1,7,29) 493291.49786550 6291017067 0969991331.P84

205 (1,41) L.M

L (5L) 15991.125 6950067521.P40

M (5M) P56

207 (1,3,9,23,69) 1 0047916621.P83

209 (1,11,19) 419.56431.P119

211 (1) 559 4292675731.3797361225 8438259769.20 4767697871 0884689089.

.144115 3930663109 6194738544 5876092809.P59 211

213 (1,3,71) 15630959 2445437909.P81

215 (1,43) L.M

L (5M) 1291.P56

M (5L) 431.144982241.127331689 6028212631.P31

217 (1,7,31) 8681.182 8916514769.P110

219 (1,3,73) 439.429241.2183431.2397017573 2091138981 7996792709.P57

221 (1,13,17) 351391.23 1452141519.1832 7609419010 4631834639.

.143600 3589550079 4034179851 9161288943 3318011249.P49 221

223 (1) 355909.P150

225 (1,3,5L,5M,9,15L,15M,45L,45M) L.M

L (25L,75M) 1274851.139 0332823651.4893 4651114126 4975761501

M (25M,75L) 1086749551.P33

227 (1) 863773591.1 7408515139.10785 7890714179.1 5490769514 0797990849.

.2 3997668626 3858506551.168313696 9999749968 7405534401.P57 227

229 (1) 2749.53129.637 8511608135 3654247759.257033653 6160890911 0896940589.P101

231 (1,3,7,11,21,33,77) 1 3920748381.267 8595575292 0989772240 6319386619.P42

233 (1) 1318781.412500871.20 8771951788 6323093190 9168449679 0985222571.

.1 2289370619 6784651098 7180520247 4551549678 3278694509.P57 233

89 Prime Factors 5􀀀

235 (1,47) L.M

L (5M) 20885861.68308861.P49

M (5L) 941.4231.9676661 0646500911.P42

237 (1,3,79) 12799.657439.4472 9861771911 4285037649.P76

239 (1) 479.4009 3613041379.P151

241 (1) 79531.578401.882061.464913101.1283384 2794968338 3916242111.

.23 2965718339 4103911807 9506609079.1054 9293440302 0742983660 4785995221.P53 241

243 (1,3,9,27,81) 1459.14001661.P103

245 (1,7,49) L.M

L (5L,35M) 491.8821.10781.P49

M (5M,35L) 166 5032891036 6149531471.P37

247 (1,13,19) 29641.893134065 4306223318 8315998577 7080426121.

.7 3264607998 1887983766 2074825361 0482190769.P67 247

249 (1,3,83) 499.12451.169321.6461357766 2440706821.

.4863 0776133292 0261532701.P60 249

251 (1) 8325671.31005529.P161

253 (1,11,23) 21 5556321311.4586 6058877694 0625714888 8900423581.

.7545874 1165755163 9383544061 4393216048 5170968091.P62 253

255 (1,3,17,51) L.M

L (5L,15M,85M) 1021.144537 7105917001.P27

M (5M,15L,85L) 236641.78 2302186051.3838 5602257801.26342 0722813531

257 (1) 10081 3924320721 2547740418 5330039079.P146

259 (1,7,37) 148325 3451821989.123315 1243020553 5516641371.P111

261 (1,3,9,29,87) 6717619.81131329.4206107 4305650501 8221215111.P77

263 (1) 152 3516701711.P172

265 (1,53) L.M

L (5M) 48809 4322309591.133561 8937071191.P43

M (5L) 1061.433476 5049222087 7561107611.P45

267 (1,3,89) 1069.1133149.1652731.1848 4574880511.36971 8501929859.

.92358800 6049379371 3012490850 9003639071.P42 267

269 (1) 3229.4016171.3278571965 9723694619.P158

271 (1) 64993931.1 2987902099.P171

273 (1,3,7,13,21,39,91) 376909 3691550663 7991958222 4252183771.P66

275 (1,5L,5M,11,55L,55M) L.M

L (25L) 2378587 4550224051.2988116 3609373451.4387729 0026688801.P21

M (25M) 233201.123 4133939501.35465 5233566701.P38

277 (1) 37095841.14075563 1354766690 1389501918 0975816431.P149

279 (1,3,9,31,93) 24711 4592858611.P112

281 (1) 63110020 2961413821.P179

283 (1) 1699.451669.113334709.41674282 1994932569.339 2666115769 4104397239.

.15035 5562464203 9390353881.871 7585253517 8949661542 8441319542 0314854559.P73 283

285 (1,3,19,57) L.M

L (5M,15L,95M) 30211.26 0930841421.P35

M (5L,15M,95L) 571.P48

287 (1,7,41) 10690751.203375089.10 3889158594 5814650631.P132

289 (1,17) 17341.81053519.2760554 2907603789.90 2711016977 2242694759.P140

291 (1,3,97) 8731.15247819.6548 2996292971.42579 8685220729.P95

293 (1) 1759.520369.22410 8738217451.889575 8831668654 7560127731.P155

295 (1,59) L.M

L (5L) 842521.6264 8263435270 2704796498 6594326671.P42

M (5M) 144818 1445390051.4 8570410268 2442915241.P45

297 (1,3,9,11,27,33,99) 1049599.173058318 5128108939.

.1013678299 6767640919 5407966079.P73 297

299 (1,13,23) 599.71761.1076401.7752619982 2679665425 3504153166 5354400879.

.44836221 8776718091 6663396803 9316094796 7436894115 5912707479.P74 299

301 (1,7,43) 66221.359 5452428681.453098474 9819649667 2903749812 8705243871.P121

303 (1,3,101) 126463111.

.8974497 9719050861 1732321830 4272887146 8138262817 7991026939.P75 303

305 (1,61) L.M

L (5L) 1884901.P78

M (5M) 1831.2441.178656 0207910631.1173694 4559917832 2177831741.P36

5􀀀 Prime Factors 90

307 (1) 3009 3907237519.4190 7329770349. C187 307

309 (1,3,103) 619.8934148519.4 2173111702 5213419404 1698934004 1084225191.P90

311 (1) 263729.1649908341 0473464248 7613142998 8519619911. C173 311

313 (1) 229651231. C210 313

315 (1,3,7,9,21,63) L.M

L (5M,15L,35L,45M,105M) 11971.23311.34651.P38

M (5L,15M,35M,45L,105L) 1732501.P45

317 (1) 34871.290 4896745820 3698934091. C194 317

319 (1,11,29) 95701.533942839. C182 319

321 (1,3,107) 35311.80251.3482851.

.20443868 1420686525 7330149913 5150262442 2714996979.P85 321

323 (1,17,19) 324769 1391126251. C186 323

325 (1,5L,5M,13,65L,65M) L.M

L (25M) 1659451.14281661 1356873351.P61

M (25L) 1 6413953173 6674586884 8220671801.P54

327 (1,3,109) 3900606421.257 0834326384 9260582209 1978212393 3663342371.P99

329 (1,7,47) 659.6581.15 9572171044 0923328597 8673415179. C155 329

331 (1) 6744 0292875072 4677348085 5158771858 0464816759. C187 331

333 (1,3,9,37,111) 15319.344145511.

.110716652 9067144953 0331408923 8561861072 6891609202 3773607149.P81 333

335 (1,67) L.M

L (5M) 126631.114941627 2557136018 6894779691.P59

M (5L) 11485 5228051494 1389076611.P69

337 (1) 242 5505629366 3667826616 3293887551.P203

339 (1,3,113) 7459.234303241.2262 8763748399.20486732 5883294509.

.24 5285575975 7518845541 4632667311.P83 339

341 (1,11,31) 109121.10161119.19 2446105281.60 9146164309. C175 341

343 (1,7,49) C206 343

345 (1,3,23,69) L.M

L (5L,15M,115M) 21391.31741.1715341.2 7875688121.P36

M (5M,15L,115L) 37951.5347963681.235188111 5374174051.P30

347 (1) 34911671.90601 9831236510 6899848549. C210 347

349 (1) C244 349

351 (1,3,9,13,27,39,117) 7655311.

.647571 1850365695 0297874830 3305641419 9292785571.

.148916102 3006154219 9037902258 0535628079 2802449809.P51 351

353 (1) 235099.5451190499.20550 4553260781.3478521588 5504832719. C198 353

355 (1,71) L.M

L (5L) 849962 6476216091.8558727566 6838047316 1735697296 0527829841.P43

M (5M) 71*.17041.7484111.P85

357 (1,3,7,17,21,51,119) P135

359 (1) 719.417 8569265357 8003162849.66778810 0878296799 7903339939.

.8372485716 6784855556 9202584041.P168 359

361 (1,19) 1294 2286565210 4096162599.64174638 0871565828 2089494909. C189 361

363 (1,3,11,33,121) 3631.P151

365 (1,73) L.M

L (5M) 107 7334433621.112193384 2585386522 1726037921.P61

M (5L) 6571.1328865721.65 0916499741.2235 4588958731.3373 5961890251.

.56029438 0367699191.P32 365M

367 (1) 104 7157937929.6456 5841128666 6140609459.

.52 8620439594 5214141164 1760543741.P189 367

369 (1,3,9,41,123) 12 7551580041 8804219885 5653459546 4339049133 99274\

44507 5087457957 0996690409.P97 369

371 (1,7,53) 2969.11131.3592 2655704041.2 2657824153 7144915139.

.1 1014814494 8004873526 0475574809 1574916119.C137 371

373 (1) 2239.4350204259.136867 1486390599.4372845 4669591948 9287780329.

.13 2287615591 6191150600 7306307335 5132265371.C165 373

375 (1,3,5L,5M,15L,15M,25L,25M,75L,75M) L.M

L (125M) 751.317286001.52 7559073501.P47

M (125L) 28 1057814001.3803386 3525621501.P42

-------------------------------------------------------------------------------

91 Prime Factors 5􀀀

385 (1,7,11,77) L.M

L (5M,35L,55M) 3341135708 4712191971.P65

M (5L,35M,55L) 2471701.92 7476143441.13423446 0550630441.P49

395 (1,79) L.M

L (5L) 1 0444938893 7445035371.P90

M (5M) 190391.68175421.3870 1052851841.64 4086240142 2039384631.P61

405 (1,3,9,27,81) L.M

L (5L,15M,45L,135M) 811.1621.6481.921737881.P57

M (5M,15L,45M,135L) 233236 8714077641.2791513 4668944479 9703543961.P34

415 (1,83) L.M

L (5M) 116201.90045041.16767 4286348441.204 9854538203 7148227331.

.843408 4293302782 4154067061.P39 415L

M (5L) 1209311.P109

425 (1,5L,5M,17,85L,85M) L.M

L (25M) 5101.3609101.P102

M (25L) 487816143 2677729051.P94

435 (1,3,29,87) L.M

L (5M,15L,145M) 22621.646325611.8109704949 2978072251.P46

M (5L,15M,145L) 5931661.1953470937 3567758985 0742253611.P42

445 (1,89) L.M

L (5L) 26701.2 6698816301.10373878 9930024471.P92

M (5M) 8011.15131.10123272 4284574681.14 5421120497 5070840249 6286411251.P67

455 (1,7,13,91) L.M

L (5L,35M,65M) 25200919 0957922611 9271929884 2466548458 1951479831.P53

M (5M,35L,65L) 911.4914911.6481021.P85

465 (1,3,31,93) L.M

L (5M,15L,155M) 189183529 4247111495 8730682051.P57

M (5L,15M,155L) 2791.608 4353978581.385 9887646937 3268915110 4968796091.P35

475 (1,5L,5M,19,95L,95M) L.M

L (25L) 1954151.P120

M (25M) 113608561 4643708051 1603913201.

.1197 1699680363 5335896986 2102780834 6660430201.P55 475M

485 (1,97) L.M

L (5M) 971.2387171.2869 4857440785 8827947671.

.406439682 8893513244 2602257065 4805464451 2772987091.P53 485L

M (5L) 3881.12611.5829701.11401381.4588270721.P104

495 (1,3,9,11,33,99) L.M

L (5L,15M,45L,55L,165M) 578259991.P76

M (5M,15L,45M,55M,165L) 991.19801.1430 0545887541.

.1236248492 4663767553 4237287451.P35 495M

505 (1,101) L.M

L (5L) 205031.520151.65682101 1757186571.

.36690 3307138714 3409955214 0344241171.P77 505L

M (5M) 5051.671651.119524411.947 6228324821.

.22556 2316315184 1878693238 1290161151.P75 505M

515 (1,103) L.M

L (5M) 1031.96821.32649340 3069610501.873322 2594758295 6902696341.

.869 3112016386 0122086674 7453195664 6459249501.P48 515L

M (5L) 41201.23698550 9596761461.56727322 3445998538 6229396944 0589550231.P84

525 (1,3,5L,5M,7,15L,15M,21,35L,35M,105L,105M) L.M

L (25L,75M,175M) 1051.P81

M (25M,75L,175L) 3 7815352051.P74

535 (1,107) L.M

L (5M) 6186913367 1342777821 2600657181.277 2674619008 6821645523 1985933091.P86

M (5L) P149

545 (1,109) L.M

L (5L) 232171.21519871.22 2583733401.P128

M (5M) 1102582961.23 9226840075 1445411411.1972 7999949997 8473755531.

.26021 1103517941 8475927861.P73 545M

5􀀀 Prime Factors 92

555 (1,3,37,111) L.M

L (5L,15M,185M) 12211.154402111.9202869 8253775713 3081645464 0823938251.P51

M (5M,15L,185L) 156511.834721.19852351.P83

565 (1,113) L.M

L (5M) 811198 1087549195 8307893501.P131

M (5L) 1 7317559621.578 9043346431 6399151818 5302373441.P114

575 (1,5L,5M,23,115L,115M) L.M

L (25M) 201781301.5938371825 2771389151.31766 2074700904 2321125655 1886690151.

.8681684 8503864301 5142200719 7514419601.P55 575L

M (25L) 1151.173651.1069501.40231601.2 6135496851.

.31905055 1737466568 1595009461 1540838529 6347943110 1993034851.P64 575M

585 (1,3,9,13,39,117) L.M

L (5M,15L,45M,65L,195M) 5648761.94 5078093181.101 6644491721.P70

M (5L,15M,45L,65M,195L) 249 7240172701.784 5827291641.P76

595 (1,7,17,119) L.M

L (5L,35M,85M) 23801.2597070 9103346701.9 5385010245 7780153519 3513460771.P83

M (5M,35L,85L) 359776 4176982506 7455871508 8606071761 2102325001.P90

605 (1,11,121) L.M

L (5L,55L) 11*.

.187 5826792538 8969281703 0220745179 1653237212 0656198627 8625943751.P91 605L

M (5M,55M) P154

615 (1,3,41,123) L.M

L (5M,15L,205M) 1231.2908888501.17885 8260014586 2687626441.P76

M (5L,15M,205L) 62731.248461.1 8383372131.2 2607366551 6341068071.P71

625 (1,5L,5M,25L,25M,125L,125M) L.M

L 6 3704343525 6965381251.8 8791802872 7761332501.P133

M 1122853751.P166

635 (1,127) L.M

L (5M) 39371.12917793 8459071482 9718240121. C144 635L

M (5L) 70 2206150831.55 9849381955 2929453451.

.123185424 1504644347 7661711361.P115 635M

645 (1,3,43,129) L.M

L (5L,15M,215M) P117

M (5M,15L,215L) 1269509641.41 4498797841 5039132191.

.3118954 4017813860 5315002215 3343306501.P51 645M

655 (1,131) L.M

L (5L) 14411.592121.601291.230 4799900471.

.9 4010871653 1224942568 0125005501.P124 655L

M (5M) 18341.51703081.79972 6387996561. C155 655M

665 (1,7,19,133) L.M

L (5M,35L,95M) C152 665L

M (5L,35M,95L) 347131.42 6361515667 7698516995 3988205647 9395496411.P104

675 (1,3,5L,5M,9,15L,15M,27,45L,45M,135L,135M) L.M

L (25M,75L,225M) 14851.71551.

.2244 9125646642 8912635990 4009174249 1284229680 7654322501.P64 675L

M (25L,75M,225L) 1357803001.8227149 9359292830 4413247151 2207436501.P80

685 (1,137) L.M

L (5M) 1 8025611971.535 5697449433 9971695885 5013333971.P147

M (5L) 4974785 3293887115 9260123601.5276 5838328433 9653209580 2023230871.C131 685M

695 (1,139) L.M

L (5L) 10170631.460 5037276245 8488337380 4093554831.

.6361 0524704231 3894581407 3705227461.P120 695L

M (5M) 822881.2 8927420661.98070 8383859046 9822562651. C152 695M

705 (1,3,47,141) L.M

L (5L,15M,235M) P129

M (5M,15L,235L) 1290151.43779091.401303684 1954018004 3461725371.P87

715 (1,11,13,143) L.M

L (5M,55M,65L) 2861.15731.56 8219795001.183 5752527181.473 4577062931.

.1565066 5725833711.P108 715L

M (5L,55L,65M) 7151. C164 715M

93 Prime Factors 5􀀀

725 (1,5L,5M,29,145L,145M) L.M

L (25L) 1451.21751.15266 2592191103 9333504551. C165 725L

M (25M) 97151.50800516 3062054101.29 8682532758 4332523851.

.14020 0680913670 0630208151.P128 725M

735 (1,3,7,21,49,147) L.M

L (5M,15L,35L,105M,245M) 1471.1238 8179201301.

.698838 4988910998 5909137301.2330 8336481995 3036671654 3767343661.P42 735L

M (5L,15M,35M,105L,245L) 72031.56117251.P105

745 (1,149) L.M

L (5L) 8941.444296 9449294014 7450117711 0211288771. C168 745L

M (5M) 6748 6587152634 9844777781.8627 4905881454 1800048281. C159 745M

55h 􀀀1 = (5h 􀀀 1)L:M; L = T 2 􀀀 T:5k + 5h; M = T 2 + T:5k + 5h; T = 5h + 1; h = 2k 􀀀 1:

5+

Factorizations of 5n + 1; n _ 375

n Prime Factors

1 2.3

2 2*.13

3 (1) 3*.7

4 2*.313

5 (1) 521

6 (2) 601

7 (1) 29.449

8 2*.17.11489

9 (1,3) 3*.5167

10 (2) 41.9161

11 (1) 23.67.5281

12 (4) 390001

13 (1) 5227.38923

14 (2) 234750601

15 (1,3,5) 61.7621

16 2*.2593.29423041

17 (1) 3061.41540861

18 (2,6) 37.6597973

19 (1) 761.19609.213029

20 (4) 241.632133361

21 (1,3,7) 7*.43.127.7603

22 (2) 89.103 0330938209

23 (1) 47.4227 2797713043

24 (8) 15 2587500001

25 (1,5) 1901.5 0150933101

26 (2) 13*.53.8318 1652304609

27 (1,3,9) 3*.163.487.16018507

28 (4) 5950942 9687890001

29 (1) 5096867.609 0817323763

30 (2,6,10) 2281.69566521

31 (1) 1303.21207101.2 8086211607

32 2*.641.75068993.24 1931001601

33 (1,3,11) 595123.190771747

34 (2) 1973.20129.45289.1 2447002677

35 (1,5,7) 15216601.4698932281

36 (4,12) 73.543097.1503418321

37 (1) 9103.29010221.4592 0153384867

38 (2) 4885168129.286422 6125209369

39 (1,3,13) 3121.2273 5632934561

40 (8) 25601.90945684 7814334401

41 (1) 83.43543.221401.947202 6608675509

42 (2,6,14) 2521.2458 7411156281

43 (1) 1549.9547.7866608083.162 8744948329

44 (4) 90804183 4837188735 9375390001

45 (1,3,5,9,15) 6008145 1169922001

46 (2) 5 4657133520 0077066054 7109750601

47 (1) 2069.1 5888756269.360237201 0909260861

48 (16) 97.2 4003159139 4168814433

49 (1,7) 49105547.1866013003.248 1357870461

50 (2,10) 239201.424256201.8962 0825374601

51 (1,3,17) 103.8467.528667.6 0119016343

94

95 Prime Factors 5+

52 (4) 51169.53 7181587281.12904400 8326199409

53 (1) 107.2 8838378869.5996 5900332130 9822423087

54 (2,6,18) 145519 1522836303 7109375001

55 (1,5,11) 109104448 5540399624 6103496881

56 (8) 113.337.2520917617.3700770032 7977836913

57 (1,3,19) 229.756 4938255544 8580095589

58 (2) 1334402673 8283131495 4763421645 5312875601

59 (1) 827.5242462229.323 7765225301.205964 7179472887

60 (4,12,20) 233 2031717285 1318360001

61 (1) 367.9029.1557 1335384347.140 0836463912 8540436401

62 (2) 812460471 7965111529.1026 5135352352 0067851969

63 (1,3,7,9,21) 883.406729.24132781.1692416503

64 2*.769.366 6499598977.961329567 8264374195 1225664001

65 (1,5,13) 18461.1518 8886343541.1519922 1608544481

66 (2,6,22) 1453.65093 8718341740 4924784917

67 (1) 1129377 2630057337 8542443000 0906189282 7351888021

68 (4) 137.623017.93 8894988049.136 1753880209.495 9636586609

69 (1,3,23) 66163549.253592389.40331 6413944121

70 (2,10,14) 281.13 1488321957 2029950389 6018648521

71 (1) 4261.57 4733849982 0296170481.2882 3103871383 8413442281

72 (8,24) 1297.2 7391778556 6730984560 5995807633

73 (1) 6 3554310563.77761276 7772190289.35 7067786689 7550288203

74 (2) 9769.40849.51 0241095096 1837579307 3336391882 0917976121

75 (1,3,5,15,25) 118801.20775901.24665701.149439601

76 (4) 457.2136398150 7860375753.216544722 0254073212 6905077281

77 (1,7,11) 2 0828886541.49 9700615160 3617961532 5895945741

78 (2,6,26) 157.8684521.4056854881.66792 9705480493

79 (1) 18251687.7897663181.51 1465533067.373990 9552516713 6010188229

80 (16) 131349761.16 7597261761.246254 4412605252 4088217281

81 (1,3,9,27) 3*.1783.5023.2 0660672713 8013621222 4701233463

82 (2) 193357.6355001.114 8205782281.56 3730789527 2262853059 8981268453

83 (1) 167.40296 6610884058 5686296627.2 5607877028 4163976747 4730913969

84 (4,12,28) 6553.90217.60190 2258503559 0658668001

85 (1,5,17) 75752681.247515241.504156421.6879506966 4507129341

86 (2) 173.217 1388367013.13233 1554743163 5419162843 6487846050 4933118649

87 (1,3,29) 349.21039 0487070809.225 0035813396 5991972941

88 (8) 13729.929281.712 2515956795 1317923809.910 2901460640 6186465761

89 (1) 3938799 6609449861.5652226 7529181963.120947157 8667799558 6454978647

90 (2,6,10,18,30) 20478961.679 4091374761.2553 5754811081

91 (1,7,13) 1588747 6811320661.15994 1464853737 5128941899 7754783021

92 (4) 15022 0315444217.21475208 8491462210 5919955818 2862886119 2144614553

93 (1,3,31) 258065887.7 5005167927.533 4567149072 2200466369

94 (2) 5077.12409.32957 3417220613.93 5213864500 2312086526 0331642997 3471246089

95 (1,5,19) 4561.1797 6343678423 9734042181.3098 2836236118 8845069741

96 (32) 193.520782 6497153857.5393447 5733615192 6206665601

97 (1) 29683.261707.547663.9013076010 2421063383.P32

98 (2,14) 197.16420 4573839769.7453567553 0760254357.214 4197059348 4574539001

99 (1,3,9,11,33) P42

100 (4,20) 4001.132001.776401.P42

101 (1) P70

102 (2,6,34) 6733.4613053.19724557.34288117.2683724126 0899651321

103 (1) P72

104 (8) 247161617.825256433.2220784177.3130 8249137777.P27

105 (1,3,5,7,15,21,35) 421.5236141.13542 2421896856 7573270561

106 (2) 88 7172601592 3707071209.P51

107 (1) 643.P72

108 (4,12,36) 73009.1853281.3314953.3 6280398313.130 1287377605 5827785521

109 (1) 19403.40 4632289544 7485867367.P50

110 (2,10,22) 245521.1458601.280220429 1103029121.P26

111 (1,3,37) 223.5107.668221.13844587.107903101.2217 4623490161 1997486023

112 (16) 271489.1149569.10922689.46531442 0407473281.P31

5+ Prime Factors 96

113 (1) 227.1387189.1 2249784663.P60

114 (2,6,38) 22573.53590717.210 8505761893.P26

115 (1,5,23) 73141.P57

116 (4) 233.929.33409.39782338 6118610689.154735534 1777494553.P33

117 (1,3,9,13,39) 40483.4 3236180703.P36

118 (2) P82

119 (1,7,17) 2381.25229.4172141.P53

120 (8,24,40) 2172116161.P36

121 (1,11) 374499841.30 4639362281.1144931 3571047243.460071568 6162128721.P23

122 (2) 733.61001.1 9811275733.2693335 6951273517.P50

123 (1,3,41) 309 7042021120 7224741561.P34

124 (4) P84

125 (1,5,25) 3001.512 0473802759 3108331001.P44

126 (2,6,14,18,42) 466 1402165281.14705 3007410401.3089 4247525727 3345172721

127 (1) 509.2287.2735581.P76

128 2*.257.236532 0098383000 3298459393.P62

129 (1,3,43) 327845761.558801427.1420986601.P33

130 (2,10,26) 87881.14402441.P56

131 (1) 263.P89

132 (4,12,44) 331660297.11283504 7682166217.P31

133 (1,7,19) 2129.354047.P67

134 (2) 20369.P88

135 (1,3,5,9,15,27,45) 164701.3147 2682400981.18251 7282870121.

.22382394 4168266601 135

136 (8) 17*.999329.P83

137 (1) 823.2741.22469.76 4253070277 0043710321.615626 3076141121 8787053569.P37

138 (2,6,46) 277.70942489.2 2600337281.6698 8220431117.P28

139 (1) 17269 4671812043.41778 6018853823.245971674 6919477501.P50

140 (4,20,28) 5148456 0302566198 8644048801.P41

141 (1,3,47) 283.1129.2 4048335089.3751 6308093487.P35

142 (2) 853.72497533.8367932201.20 0771218157.55 4474665573.

.109583 2589179957.P40 142

143 (1,11,13) 2010581.225 3938672701.56761 8483045329.

.30287 0460021353 4236926361.P27 143

144 (16,48) P68

145 (1,5,29) 9 8047293061.353 2907090761.1714 9742984461.P42

146 (2) 293.27133517.84128413.7725579 3815542926 0697128053.P56

147 (1,3,7,21,49) 7*.9887502829.P48

148 (4) 3257.3542233.1004 4059578457.P78

149 (1) 85229.4394309.1270 3371381749.108480 2496290323.

.8642038 4438148246 4122519761.P37 149

150 (2,6,10,30,50) 14401.2 9954155215 4912341601.P32

151 (1) 43367201.P98

152 (8) 14897.4189729.1152438057 9073027969.

.101 2849224145 1382761167 2455293249.P39 152

153 (1,3,9,17,51) 307.6427.6297787.4 5618058027.P44

154 (2,14,22) 8009.40987409.7435 3801974761.P59

155 (1,5,31) 21701.10867 4992710961.1454759 4945812910 9023753501.P40

156 (4,12,52) 3191435 3373873895 5692755921.P41

157 (1) 1585387.2 2397562046 2535382927.P83

158 (2) 317.41081.72997.1039 0269663517.P85

159 (1,3,53) 5407.1725469.P63

160 (32) 4 6957667265 6667584028 9495258492 0394200961.P49

161 (1,7,23) 116243.P88

162 (2,6,18,54) 50 3731168597.7203144 1042010060 2530036001.P37

163 (1) 198174092 6993660561.2 8607555347 0422974507.

.7214931 0409446139 7911450801.P48 163

164 (4) 2953.81 1755457273.4696487220 5858855033.

.2 2118773725 7721564085 6618933593.P47 164

165 (1,3,5,11,15,33,55) 661.9651181.P47

166 (2) 997.4649.990 0623095114 7470700089.P85

97 Prime Factors 5+

167 (1) 497 8061451403.5090 2967640396 1730526372 7962686984 5515838501.P60

168 (8,24,56) 12433.447639226 5682340957 4575008753.P35

169 (1,13) 493481.P104

170 (2,10,34) 1361.14281.14239201.87393601.19726187 6290426766 5190337601.P40

171 (1,3,9,19,57) 6027 2250820183.62674 7642757850 2461453809.P37

172 (4) 18233.3 0185745097.264671329 4612838233.P85

173 (1) 347.4279 4294406607.P104

174 (2,6,58) 382801.506670253.1 4681772034 0602448117.P44

175 (1,5,7,25,35) 701.2801.630915424 5455368301.P59

176 (16) 353.1827937.2704769.180075054 7615213217.

.6092 0148549093 0587260897.8309 4090799735 7679202561.P31 176

177 (1,3,59) 709.1063.347629.4 9987218529.13032554 3183670643.

.5 0458385688 1942565107.16 6388708446 5861537223 177

178 (2) 203652882 9484414131 3970353677.P95

179 (1) 2 1320258969.1202130 4420747747.22713802 3883511049.

.203 2434636646 8227562461.97112349 9617907087 6201114229.P31 179

180 (4,12,20,36,60) 8641.440641.35 6646293281.5073530 7557193841.P30

181 (1) 1087.28961.101723.P114

182 (2,14,26) 3640732369.14143795 5091157453.P74

183 (1,3,61) 17203.11833147.2880471241.111719759 5048793563.P46

184 (8) 14966561.73231 8765422081 5881445121.

.36153 6734706660 2695808453 2869022033.P57 184

185 (1,5,37) 2221.3701.P94

186 (2,6,62) 373.1117.1489.1 0269119521.P66

187 (1,11,17) 1123.12343.

.1787163564 6349095375 9833687091 6422433435 6049680569.P56 187

188 (4) 90617.755009.951281.1279513 4934601897.

.4760 5941906274 8765416912 4325931441.P63 188

189 (1,3,7,9,21,27,63) 2932903.238040587.391 6103733109.

.17 4342459381 9524631667.P27 189

190 (2,10,38) 98041.257464 5949207561.P81

191 (1) 383.1793262 1608157901.45 3439892643 9904724500 9865403089.P83

192 (64) P90

193 (1) 69481.1046447.

.133 0202277214 5301912117 2455353486 0452103425 4056544901.P72 193

194 (2) 25997.52769.6647 7837920609.3 7496232185 2666418369.P91

195 (1,3,5,13,15,39,65) 1401193 3046202781.17 5569205387 3139750161.P30

196 (4,28) 19993.2333311009.3881 1185416697.P91

197 (1) 20420627.15 2626814313 8331950101.P109

198 (2,6,18,22,66) 397.76 6142400277.7502 1320776093 6191769333.P46

199 (1) 2389.75223.446569871 4051853503 9596003383.P102

200 (8,40) 1601.10339 0853395201.4580474363 9930233601.

.6682199064 3053759006 0380972001.P46 200

201 (1,3,67) 11655571 3473655927.3082552744 6446607747.P56

202 (2) 809.3637.5728721.337526 8261753121.

.54234164 6494570198 5809078678 3366331533.P74 202

203 (1,7,29) 29*.230 3920845056 0482164167.1041934113 4729176973 8017451047.P65

204 (4,12,68) 2857.65127 8013527708 6566492366 1368506241.P52

205 (1,5,41) 821.2175461.3399 6220923281.2483443 3083178321.

.37882 8567297103 2867364321.P49 205

206 (2) 72 0016715917 9008264342 9082665920 7222585733.P101

207 (1,3,9,23,69) 3727.17389.314227.2401937749.6 7153740229.

.2152931154 6645480718 4993896087.P30 207

208 (16) 1 4934372575 0590533761.5102 5382540781 8607167641 5499055681.

.5717693 5570438290 2782551301 9667841281.P44 208

209 (1,11,19) 10123543.21 3379486321.

.4 5859681134 6482983378 5910158325 9138328629.P67 209

210 (2,6,10,14,30,42,70) P68

211 (1) 2 2144561409.87856 1207123492 7581234843.15507607 2919682305 8417670649.

.91807021 5174670579 4282754349 1998459427.P47 211

212 (4) 24452081.P138

5+ Prime Factors 98

213 (1,3,71) 2893657 3797339172 6539631077 2669592883.P62

214 (2) 25253.232 5261295624 3152283169.18 3944488993 3630996520 0241530917.

.997 7781848118 2008593289 1049469009.P58 214

215 (1,5,43) 1721.P115

216 (8,24,72) 433.177553.39209617.170735041.2 4641426027 7520913233.P57

217 (1,7,31) 51647.44245867.102765 0404358607.2086488850 5062314147.P80

218 (2) 938804357.3698717 6266711133.4333070199 9236285089.

.89 8182807442 1045046272 6655090961.P74 218

219 (1,3,73) 1526556583.249603 8864033071 0632107832 1358781541.P57

220 (4,20,44) 881.21121.148721.2530153561 9781301761.

.431176 7321757919 4979701441.P55 220

221 (1,13,17) 443.4421.27847.495041.12 3067090303.5 1041013072 2343681961.P87

222 (2,6,74) 2096889231 2069830573.59981 5412105933 3854804908 7060890529.P47

223 (1) 187373521.158824879 2798900263.64020 9564362014 4342873702 9803881709.

.2897241 5246940047 4880171778 3894063698 2760270727.P48 223

224 (32) 3137.18 1398083777.35822 8004389750 4996426193 3857034881.

.259 3161252309 2651022491 4283683090 4141299137.P43 224

225 (1,3,5,9,15,25,45,75) 119701.826201.2596501.643 1752796248 6535125801.P44

226 (2) 119 1328746689 4338293503 9138140670 3911065344 3245880449.P105

227 (1) 176905726 5869086021.110157576 4391464632 1123501403.

.2989637738 9316794823 9115560463.P83 227

228 (4,12,76) 7753.738721.1524 5577749507 8401684021 1158773621 2639440481.P48

229 (1) P160

230 (2,10,46) 118681.140761.3 3453655481.3852260 6861373961.P86

231 (1,3,7,11,21,33,77) 463.42967.1430975701.26628684 4846214347.P50

232 (8) 336320319 3152232653 1782695489.

.4177156944 9671881561 3000367085 8609781761.P89 232

233 (1) 467.2909687359 0481178947.P140

234 (2,6,18,26,78) 138485881.139192519 1575724209.P75

235 (1,5,47) 14975141.2501939 3608870061.746901580 8480614081.P87

236 (4) 1889.66553.3 8710282321.P144

237 (1,3,79) 1423.53089.787597927.362 0406337123.5197753 9194197989.P64

238 (2,14,34) 22 3730792106 9778921841.P113

239 (1) 17209.572988 9967417247.

.10 0324083102 1866550564 9376807328 5480027069 3763847709.P96 239

240 (16,48,80) 582954476 4937408380 8477814863 3415817921.P51

241 (1) 1447.271849.533122367.5254 1158906758 0318444083.

.3665855797 0564117648 8670059469.P98 241

242 (2,22) 30493.991625 1976518642 0525633572 9707788353 2184524093.P104

243 (1,3,9,27,81) 3*.8263.39367.17995609.985562803.598653 5931982369.

.83 8817651486 0236537051 0261987969.P41 243

244 (4) 57097.14 7503431140 7732073353.P142

245 (1,5,7,35,49) 114661.187181.5758481.2033402201 3834451721.

.1940 4354650649 0017613781.19356 3546595289 0802398761.P34 245

246 (2,6,82) 4560841.6546 5466516157.P92

247 (1,13,19) 4447.5853901.29599987.551 3798691623.66 5547226622 5553901469.

.14120148 0374548733 3745277051 4154962809.P62 247

248 (8) 128 4020836753.557639293 9202243775 9699097699 1388831169.P117

249 (1,3,83) 77264 1961672840 9660092049.P90

250 (2,10,50) P140

251 (1) 503.27258601.

.5452 4195722301 5210665999 4530769257 0749936560 8184793723.P111 251

252 (4,12,28,36,84) 1009.11824849.2759159593.4996993 0916222857.

.1 3173654819 1549409370 2637365041.P35 252

253 (1,11,23) 23*.39 0782201041.P141

254 (2) 18797.23369.60961.813474135 0985769921.5108 5462911106 3017581573.

.5336075653 5393674204 8782478767 1823315327 6708896801.P71 254

255 (1,3,5,15,17,51,85) 20 6249584501.8507 7293022121.

.186 5479660364 7183092401.P42 255

256 2*.1655809.10119966 4791578113.45 6356643022 0614493697.

.1202570 2000065183 8057515137 3261627651 6181800961.P88 256

99 Prime Factors 5+

257 (1) 176303.468309 0869184897 2641835440 2565618496 2101756530 27076\

81386 7715861667 7982264217 3925770149.P88 257

258 (2,6,86) 56175373.

.46021 0379618541 4861907092 0471767267 6962926194 9140369401.P56 258

259 (1,7,37) 4663.1387965001 2159635243.P129

260 (4,20,52) 2081.P131

261 (1,3,9,29,87) 523.79867.4144681.999092863.18 5737685563.P83

262 (2) 1049.17293.48821081.85731185 4600156055 5564908129.P139

263 (1) 119929.47328 7944795636 7560040127.722142045 4584887493 7749773069.P125

264 (8,24,88) 51837851 9354634577.P95

265 (1,5,53) P146

266 (2,14,38) 1597.170773.12628 6794969133.P129

267 (1,3,89) 448027.59483329.325 3990826145 6858140701.

.560 8650249931 3161545149.P65 267

268 (4) P185

269 (1) 8609.9 3386204629.1553811 0699419449.P157

270 (2,6,10,18,30,54,90) 618841.2068201.

.1608 3519052368 8198716750 8102211701 7825998721.P46 270

271 (1) 1627.13009.412463.37013723.247 6120019041.P156

272 (16) 136 5734376353.49 9763060701 9625728363 1828680511 9714865332 4\

939120570 7849296189 6277276034 5131203329.P86 272

273 (1,3,7,13,21,39,91) 547.9829.84 2474804263.5090739 3322559047.P66

274 (2) 68911 1405199403 2697301089.169455 0899741129 2389468001.P141

275 (1,5,11,25,55) 4405399004 5343516701.

.33091 3450293623 0727761627 9711411801.P86 275

276 (4,12,92) 1657.3368857.327869982 0981309633 3308538793.P85

277 (1) 1109.9650681.149030599 1985489901.

.126 3881597610 5534323429 2253502483.P133 277

278 (2) 557.P191

279 (1,3,9,31,93) 59707.62935 2358596132 5272635001.

.60117 7658416693 0501774730 3876010686 1025677463.P52 279

280 (8,40,56) 3361.1046757601.55471566 2634844481.

.211311163 9722448196 1941732661 7601756161.P66 280

281 (1) 563.1 7568442139 3646637872 6696505807.P163

282 (2,6,94) 35141 6125984969.25475403 2198578321.584608687 8571351849.

.4 0568949061 8274673831 9224618717.P48 282

283 (1) 28867.107949 2176213679 4464572609.30179284 3472464925 515759\

0320 5690040477 0576599505 1333302715 4449865801.P101 283

284 (4) 6587 3251351400 5296788816 0464362250 4978360233.

.790 5422398994 2445013826 6946751563 9799247474 4610986129.P99 284

285 (1,3,5,15,19,57,95) 3907 2294640644 8237780581.

.9979141 0699974190 4216882099 9353619521.P40 285

286 (2,22,26) 11 0809516598 3260585456 3544212479 9433394333.

.25 7862489551 0885609549 6727464834 5742202673 1923767910 9854509573.P66 286

287 (1,7,41) 1723.49669943.5942 8670579923.P144

288 (32,96) 577.597889.

.384015 9952088227 4416151769 9187297345 3917150065 9227280833.P71 288

289 (1,17) 1644989.8528969.72 2534482201 6874223743. C156 289

290 (2,10,58) 13921.1 1483163641.169 7251048638 4731643441.

.183 9123830360 0748207500 8706426861 7948153832 1537172841.P68 290

291 (1,3,97) 2072101 4227435723.102 2435941519 8339175066 0845889189.P86

292 (4) 1753.38907833.P191

293 (1) 587.645187.P196

294 (2,6,14,42,98)

267534 4361321465 5421212169 3391142331 3001176485 3739132929.P62

295 (1,5,59) 1181.3541.14014 5823858841.96 2560088920 7570043521.P120

296 (8) 593.177601.8 1495473417 5776096337.P173

297 (1,3,9,11,27,33,99) 5448169.P120

298 (2) 244957.1898 8882573081. C189 298

299 (1,13,23) 10 3442456501 1113115503.152186 4978115066 8794223283.

.24606023 4401750432 5543906769.P112 299

5+ Prime Factors 100

300 (4,12,20,60,100) 1201.747733128 3039457201.

.1943721 7250562986 3135260458 6154656001.P54 300

301 (1,7,43) 14449.42743.176989.2604 1733579107.

.71 3983562233 5105435447 9829866663 0256643886 4431099359 3530081301.P87 301

302 (2) 7853.8286881.403 3512514609. C187 302

303 (1,3,101) 607.24847.1740662887.6159 7393790041.

.114854 0966490621 2442587795 3365492367 7123377383.P65 303

304 (16) 40129.52289.9 1248052703 0336132161. C172 304

305 (1,5,61) 15056021.22351621.28 3554791907 4635255541.

.335 6831787530 6837620981.1071572 8222098661 4613635281.

.668 5448602981 7110606216 8575595041.P51 305

306 (2,6,18,34,102) 613.455983453.2194449013.9556692707 2257854677.P94

307 (1) 1229.1102507 0531745749.81461658 6610803721.229729697 7063162527. C159 307

308 (4,28,44) 617.P165

309 (1,3,103) 1487527.4527469.642310267.2 4193913287.33054 5029709161.

.42287 9580647947.151771333 8849924001.P64 309

310 (2,10,62) P168

311 (1) 1867.2 7920959867. C203 311

312 (8,24,104) 1249.1873.2938768272 4764582400 1934037873.P99

313 (1) 43 2166113522 7604368687. C197 313

314 (2) 15980089.388 0383147486 3766512611 3925790477. C179 314

315 (1,3,5,7,9,15,21,35,45,63,105) 35281.6985091214 0360790741.P77

316 (4) 1195838801.1 0005578153.7 0432242073.8 2932824137.P178

317 (1) 4084229.1 7299271678 3529233443.36203 8200497700 1942052983. C170 317

318 (2,6,106) 19081.20947933.4362762 0682507634 9879647249.

.110948 5825591216 5314161670 7828218569.P73 318

319 (1,11,29) 2 8476798241.76276 8789799551 8443953143 1817934729.P151

320 (64) 17921. C175 320

321 (1,3,107) 23035 7338393565 0005163767.2738606 7366794399 3469496783.

.155080734 4332412684 0152709489.4 7537128212 5469801577 1925989227.P39 321

322 (2,14,46) 1289.424397.419588 5464702037.11984 0037670557 5705576881.

.12658 2890267994 2961011028 8303852317.

.37458200 1847315605 1297275787 9121310733.P65 322

323 (1,17,19) 647.18089.7270077 7195829092 1190121741. C168 323

324 (4,12,36,108) 20929 0024478377.177309 2774613602 1830939013 7951788241.

.14448621 9582638871 0025766042 1295942561.P65 324

325 (1,5,13,25,65) 1301.2024275501.3 1306627301.P145

326 (2) 653.2609.189895001.2328835198 5517693013.

.256662 1895043793 4848265249.8366787 4422194558 0045751077.P141 326

327 (1,3,109) 1078 7032338307.1656 6453047149.2475304696 8859330729.

.296805174 7086139877 6947048909.23 8012792129 7654769845 0531783389.P46 327

328 (8) 17713.20907377.94 8775991433 9022789821 1503024977. C181 328

329 (1,7,47) 254905 7618736721.135 6372086903 5756711741.

.19 1403458989 3156595618 1098154647.P125 329

330 (2,6,10,22,30,66,110) 1321.4411608961.P100

331 (1) 48989.274069.404483.350 9802708543 6321411407. C193 331

332 (4) 2058554713.654380942 0367655443 2094356953.

.92204 5676511150 9608696434 9490379361.P157 332

333 (1,3,9,37,111) 826048260 4912643089.250 8567921556 6320053389.

.2088 0879276654 5358864451 7957100805 3406388481.P67 333

334 (2) C233 334

335 (1,5,67) 6701.62830 1435347801.33378029 8767467267 1171503141.

.4813691646 9902471860 2707258539 9061245861.P99 335

336 (16,48,112) 673.2689.890683 5789071809.P112

337 (1) 9934 7042703101.86819 4288081270 9284936701.P196

338 (2,26) 13*.677.3 4970977837 3997142089.4526 2951277113 8390982997.

.40202 2611786475 5963006649.13147110 4434494594 2445899409.

.684557619 9477607455 0081198997.P90 338

339 (1,3,113) 18307.4392763.2987233423.11 7825760147.165 0939957419 2003102207.

.4 5722566413 2454497901 0285169371 3961533231 2607324601.P53 339

101 Prime Factors 5+

340 (4,20,68) 8161.17681.488860 5540239186 2040941201.

.1 1441045552 4040914431 8774002163 3178237681.P106 340

341 (1,11,31) 683.21143.305 5305555941.85386 9447408847.284680 0854247901.

.1926361897 0549625859 2833146488 0223029383.P121 341

342 (2,6,18,38,114) 50164561.19 7991079813.9049237818 4051683013.

.170952 6991712109 6397448449.

.742 9367931326 1167838317 8061013072 6189759289.P44 342

343 (1,7,49) 15078281.67054833 3797224163.4970308833 5119243034 4613753441.

.705782 5754592153 8645010005 7697624063.P115 343

344 (8) 183399473.3070535057. C218 344

345 (1,3,5,15,23,69,115) 1381.4310038422 4227086881.

.1632639993 0694296396 7949719201.P71 345

346 (2) 3379037.1490847569.213307682 0179418693.

.1611 3350601918 8769151498 8317272249.C174 346

347 (1) P242

348 (4,12,116) 1 9316392153.2616 0681101041.70157 0688430849.

.86752 1757880801.516301 1441108401.206200317 2288320153.P70 348

349 (1) 8942070323.69960 3551730901.35622 0205587036 7855123667. C194 349

350 (2,10,14,50,70) 21001.481388939 0953505801.P145

351 (1,3,9,13,27,39,117) 87049.3771847.P140

352 (32) 1409.369059329.P212

353 (1) 4943.149 2860183629. C231 353

354 (2,6,118) 236 6295543712 6651591573.

.538823 3474508376 5366364264 9134600452 7091093436 2265818081.P85 354

355 (1,5,71) 656729 9738106091 4413551821.

.30535 0220925900 3363154112 7783262141.C136 355

356 (4) 2137.1870909 3056270693 6930665593.8405525731 4680963545 9322735649.P187

357 (1,3,7,17,21,51,119) 9283.P131

358 (2) 1222797 5198457533. C233 358

359 (1) 1487054 4741210523.P234

360 (8,24,40,72,120) 30241.43201.47 1354274081.

.79940 1970704871 7497718120 1851988481.P79 360

361 (1,19) 140069.5958 8684185483. C221 361

362 (2) 154213.2533277. C241 362

363 (1,3,11,33,121) 727.P151

364 (4,28,52) 6165 3107433057 3834279470 3714473897.P168

365 (1,5,73) 49799 7249288521.1 4336096900 4690255541.P167

366 (2,6,122) 18524 8749250792 8532657573.

.1516 0766483596 2675953349 7301564169 1225680692 3448428872 3988182009.P81 366

367 (1) 7 3219364069.7005799565 2034894429. C226 367

368 (16) 22817.339125 5113651617.767392482 0048666337.3835593736 2039743393.

.11 8198566927 4649173537.C167 368

369 (1,3,9,41,123) 1048377 3125218147.

.385 1545394849 7338727133 2423670150 1484420747 1841623117 1285497783.P90 369

370 (2,10,74) 1481.5121318001. C189 370

371 (1,7,53) 743.31907.171403.42073627.234086 5442872909.

.835 2956119659 5406306863.4294105 9171630128 4802706186 7115931367.

.24 1881732025 6578191451 0336201743 6952827107.P82 371

372 (4,12,124) 854099353.P159

373 (1) 16827523.85594 7877694729.34022 7030774578 0791746163. C214 373

374 (2,22,34) 36653.183 3280694213.2 7379916733 4154011397. C187 374

375 (1,3,5,15,25,75,125) 9001.994501.8 4719274001.P119

6􀀀

Factorizations of 6n 􀀀 1; n odd, n < 330

n Prime Factors

1 5

3 (1) 43

5 (1) 5*.311

7 (1) 55987

9 (1,3) 19.2467

11 (1) 23.3154757

13 (1) 3433.760891

15 (1,3,5) 1171.1201

17 (1) 239.409.1123.30839

19 (1) 191.63 8073026189

21 (1,3,7) 1822428931

23 (1) 47.139.3221.7505944891

25 (1,5) 5*.18198701.40185601

27 (1,3,9) 163.62 3067280651

29 (1) 73 6913065735 7778596659

31 (1) 5333.4974474098 3476472807

33 (1,3,11) 67.4568 6117391553

35 (1,5,7) 71.37863211.1469029031

37 (1) 149.7919.12211.2569799.33 4286825813

39 (1,3,13) 3143401.126 2014275211

41 (1) 8648131.18548 5088588649 7427178961

43 (1) 173.431.7383359.10 4895390312 9961695599

45 (1,3,5,9,15) 2161.112771.1 9353635731

47 (1) 930911329.4 5110836129.1782171 8159716147

49 (1,7) 6527977.12 2694573317.60082 7908214213

51 (1,3,17) 307.927037099.2341 2002806867

53 (1) 13781.35729 3834576449.70 9153108874 0602980647

55 (1,5,11) 3675127061.30 3146295935 1050977391

57 (1,3,19) 47881.820459.21981582 9325921729

59 (1) 486 6979762781.2905 0941569087.1152216300 7228653937

61 (1) 42461491.80057377.17 2528033542 9742134694 3980322273

63 (1,3,7,9,21) 379.8387947.616332907.5239858051

65 (1,5,13) 11831.1420901.49398961.2253364965 4910414281

67 (1) 9049 4902832991 0415467529.30237066 3780954222 2940030043

69 (1,3,23) 11731.1 2363858534 3205788966 7843739281

71 (1) 35462 4529745721 7493590449 1917485464 5800559518 7661976371

73 (1) 4 4764549877.243 6094907761.843914 8071138817.13872164 8424756087

75 (1,3,5,15,25) 601.82051.2710 4151160059 1342728451

77 (1,7,11) 4 8484757451 0970082567.840020 9205624801 6278479853

79 (1) 114 7240288157.2628382523 7209622143.1975312514 4605932947 1533015409

81 (1,3,9,27) 2 7767002339.37 7258057173 5061942995 0429139147

83 (1) 167.499.17597.41580677.8 0781507941.60 5274844997.P25

85 (1,5,17) 26807981.2 0891158391.P32

87 (1,3,29) 2694217.1833921547.470 6691035521.135761 0070580129

89 (1) 8011.2064441331.P56

91 (1,7,13) 4821591056 3832798697.P37

93 (1,3,31) 186187.290869963.659988451.84 2660004553.135 8539033057

95 (1,5,19) 571.1901.825838991.129 8704628041.2542 5408247171.299552 3312517361

97 (1) 389.1747.158 6365166597.189 6965318129 9397175271.P35

99 (1,3,9,11,33) 16633.18380539.18414001.22 6407819331.3816729 3140100433

101 (1) 1275678077.P69

102

103 Prime Factors 6􀀀

103 (1) 2473.5563.160681.P68

105 (1,3,5,7,15,21,35) 211.35281.58171.P26

107 (1) 643.504414 0393054571.P65

109 (1) 3072 6149494277.P71

111 (1,3,37) 89728627.18 7333846633.148771683 4806007369.356169332 3285489089

113 (1) 107351.5446695 4894479739.2 0143686286 4351419099.P46

115 (1,5,23) 461.1151.44851.2579 1752630734 5124973861.P35

117 (1,3,9,13,39) 6553.5958157609.3903 1258670353.P29

119 (1,7,17) 16661.2 9032062767.10319 8889691409.1240529 1558509977.P30

121 (1,11) 4163261521.130 4380464883.P64

123 (1,3,41) 25512169.141304123.P47

125 (1,5,25) 5*.9536585501.1 1781179277 2681609501.1058 7532158856 7599765751.P25

127 (1) P99

129 (1,3,43) 43*.P64

131 (1) 263.3931.6551.1284 8274425742 2193687097 4393373403.P59

133 (1,7,19) 11971.188861.1101773.16433123 0229374083.P52

135 (1,3,5,9,15,27,45) 175509721.P48

137 (1) 6577.25247731.53280671.6004205648 8501962187.P68

139 (1) 557.21407.128159.P96

141 (1,3,47) 283.13537.753554761.12 2320721569.98 9671414201.P33

143 (1,11,13) 859.625 4548615305 6268832471.P68

145 (1,5,29) 132241.1 5043363139 4488258261.P62

147 (1,3,7,21,49) 32093041.P58

149 (1) 38538553.13 1871355471 3829548602 5129566860 4027237645 0743377909.P57

151 (1) 262 3968964411.495650 4421137000 3384299231 7587888595 4098593563.P59

153 (1,3,9,17,51) 9757142011.126444432 3057980188 6843521019.P37

155 (1,5,31) 355 9267608341.2 0821028914 2572055121.P61

157 (1) 6446107.6423436771.811272997 0287129452 3556776543.

.8 6959949043 5630213477 5281276601.P46 157

159 (1,3,53) 11 8721004139.6758 7459957091.P56

161 (1,7,23) 10949.593447.49178757 4454982121.

.3358586 1377536099 6151644764 1418203949.P39 161

163 (1) 653.237852 3250342970 9475820435 5561017171 7174452063.P78

165 (1,3,5,11,15,33,55) 331.1372486277 4476458441.P41

167 (1) 19466857.1 0301691259.22902 7359614687.970310775 9710968661.

.22004 4654021326 0920441013.P55 167

169 (1,13) 677.3719.1420277.30660424 1330002566 1761581713.

.3510824135 9903125131 6269147227.P52 169

171 (1,3,9,19,57) 19*.25896916 0986217770 2532046106 7950269867.P46

173 (1) 92466 9087985921.495043698 7173222211 8032594604 7148316337.P81

175 (1,5,7,25,35) 3822701.114265201.141218351.7292423951.3 4840572551.

.3 5107498301.237 0825139201.P28 175

177 (1,3,59) 1421059369.P82

179 (1) 359.4297.399887.112 6853766403.

.171074 0419015363 0002113251 7497157303.P80 179

181 (1) 39821.1268420 6910817829.P120

183 (1,3,61) 223355 3320236215 7841587721.P68

185 (1,5,37) 10630 5398863787 4955869001.P88

187 (1,11,17) 382229.420 8612395681.6467774 4985198512 2419754293 9036067237.P70

189 (1,3,7,9,21,27,63) 10644859.29264 5031213683.P63

191 (1) 383.12 0477626957.14117334 3133408897.1728047 9106117173 3536391399.P91

193 (1) 748132849.3759493321.23 0824001813.34492 9902064301.

.5777 0149783790 6594854943.P82 193

195 (1,3,5,13,15,39,65) 5 2306527452 0717779891.7 9538236668 7653584971.P34

197 (1) 2235557.1012325 2906683101.P131

199 (1) 797.191837.3693839.48449369 0172684383.

.238910685 3487241752 3156850355 7934988035 4989277451.P74 199

201 (1,3,67) 319 6645037857.P91

203 (1,7,29) 1458188789.4325491 2688738803 9664858367.P95

205 (1,5,41) 6 6571969781.2885280721 0022072371.P95

207 (1,3,9,23,69) 399097.P98

6􀀀 Prime Factors 104

209 (1,11,19) 18873119.414230477.8412 5065520563.

.3 9547815403 9823636104 5733383868 8241066157.P70 209

211 (1) 3 5768449921.12 7491843407.22502 4773608204 9230776871 3607212049.

.9 5386426775 7776424221 0685386562 8552815453 2046177627.P57 211

213 (1,3,71) 2230166 0719710979.P93

215 (1,5,43) 1291.1966 0072438421.P115

217 (1,7,31) 38 5227416351.26 3160137658 7304280611 2463084693.

.126 5855393578 6667851344 9649319475 7776649681.P55 217

219 (1,3,73) 1143619.282 0121693645 4879979568 9279966625 6974847683.P64

221 (1,13,17) 4421.39721657.4 1183788762 1602101829 2737389271 4194450477.P98

223 (1) 359734681.1926 1747635283.P151

225 (1,3,5,9,15,25,45,75) 320851.3388291201.

.2 0565836970 4156992901 7137051051.P49 225

227 (1) 1393781.1 4127313744 5779487073.

.199496 9355576066 5497107153 1139160757 1195545033.P105 227

229 (1) 1505447.P172

231 (1,3,7,11,21,33,77) 17 4090854323.152632 3866435523.

.835316798 1236086982 0818648177.P39 231

233 (1) 56846 5670186789.39455247 0392766848 4254051089.

.630 0766008244 1750517471 7786052089.P106 233

235 (1,5,47) 941.8 8816955621.P130

237 (1,3,79) 15643.393 0248996198 5959073953 7077043657.P85

239 (1) 479.55 5643125049.67 4693399227.278718 7926109459.P144

241 (1) 248231.2048 1747682829.184088904 4920084403.

.77100382 7979180858 0832936799.

.24631 6726378395 4494667487 5820381190 7753252397.P78 241

243 (1,3,9,27,81) 24 9844450267.47 8476554726 3670114004 5116262913.

.103939 3803603296 6674629237 0686492281.P48 243

245 (1,5,7,35,49) 22541.P127

247 (1,13,19) 1483.77071411.32 9143658741.825697375 2470502414 2782304189.P117

249 (1,3,83) 17929.63871987.305654519 8016277916 3327091617.P87

251 (1) 503.34204273.5 9351200969.8044070 5758435499.

.3 4894780200 2515477640 5154855930 8322189026 3015363685 8925509939.P97 251

253 (1,11,23) 23*.1013.7516 8534000121.

.25966604 6866989553 2346788399 8618813717 6834471947.P106 253

255 (1,3,5,15,17,51,85) 11996 9950233639 5787186091.P76

257 (1) 9767.17477.330969345 2762216327. C173 257

259 (1,7,37) 2458852243.12824101 6566344721 6094903673 6553020530 8828\

951059 7637357011 9192542968 8386832869.P82 259

261 (1,3,9,29,87) 523.46728 1506322297.108876710 1178107721.P96

263 (1) 131982869. C196 263

265 (1,5,53) 1061.12721.59 4991492154 0956561586 2915027061.

.144388 3079527663 6039434443 4005579169 6913305571.P78 265

267 (1,3,89) 1 8530245891.P127

269 (1) 2908387364 5382611513.23 3477578169 4290932919.

.1 4914054997 5667586643 1606264433 1821838847.P128 269

271 (1) P211

273 (1,3,7,13,21,39,91) 547.243014 3818773217.

.31 1093172628 2573765139 9662765563 5721132089.P53 273

275 (1,5,11,25,55) 13751.10764601.108041680 1397537451.P127

277 (1) 1109.555 5507589053.15232 7217259127.

.1401105 3856556766 5545950097 9343894696 8040153039.C139 277

279 (1,3,9,31,93) 32689268 5378628881.

.4195369622 1075617287 2552858865 7828897923.P83 279

281 (1) 33721.186023.12241337 9955569789.2285667968 5336862276 5083206587.C162 281

283 (1) 36791.217516631.6650 5100371069 1316455749 9908650923. C173 283

285 (1,3,5,15,19,57,95) 4 7562842881.27 0596289241.

.2095471 7934481651 1252551051.P64 285

287 (1,7,41) 24884 8212837883.P173

289 (1,17) 671059.606329606 7889787612 6475951314 6230361569.P168

291 (1,3,97) 111 9406007278 4160031723 6399112257.P118

105 Prime Factors 6􀀀

293 (1) 946391.193844113. C214 293

295 (1,5,59) 1181.1956803 2756311331.15208 1182559338 3429335900 9545761871.P127

297 (1,3,9,11,27,33,99) 18079 4604080179.P126

299 (1,13,23) 599.5981.309379487.2341190333.3940980 6457264394 7287218201.C155 299

301 (1,7,43) 4941217.21 0619620359.38715300 1486618459.

.1026218 9946213530 4122000135 8738943323.

.500188595 7827075084 8409089664 7858368270 0724643573 5770683387.P66 301

303 (1,3,101) 2529268867.4844162809.3 6536927761.25793 4717592273.

.31140 1925901507 1338214621 9858775467.P77 303

305 (1,5,61) 86011.21122425 8538246595 7468782381. C155 305

307 (1) 1229.4762799.7 7447101407 7469888593.2058984 3616826186 7044624683.P182

309 (1,3,103) 619.P156

311 (1) 119 1554036683.366 6342101717.10281 2393496224 2970067317.

.76401 5026410083 9651419559.C168 311

313 (1) 20032627.1280155603. C227 313

315 (1,3,5,7,9,15,21,35,45,63,105) 423123121.107683 6800079531.

.727256 8060810890 5121706081.P63 315

317 (1) 15217.494521.P237

319 (1,11,29) 10847.642814987.10 5726751219.89 1967447801.2213828 9428735393.

.140908891 3314217103.503513 9503085804 7251181629.

.4 5283815760 9781645246 1578808677.P92 319

321 (1,3,107) 242123 0245588271 7029271553.3 9890176806 5835135529 7802631081.P109

323 (1,17,19) 647.P222

325 (1,5,13,25,65) 1301.15601.9034 7109228159 4039875101.

.9458 9990462446 3468762291 1142066001.

.57 0312905179 9870524214 6708227547 0442757451.P80 325

327 (1,3,109) 2617.5233.16823497.16 1662095193.P143

329 (1,7,47) 135817534 2743772577 9783140643.

.5552584 9665500291 9243649170 3687097023.C150 329

6+

Factorizations of 6n + 1; n _ 330

L,M for n = 12k 􀀀 6 _ 654

n Prime Factors

1 7

2 37

3 (1) 31

4 1297

5 (1) 11.101

6 (2) L.M

L 13

M 97

7 (1) 7*.29.197

8 17.98801

9 (1,3) 46441

10 (2) 241.6781

11 (1) 51828151

12 (4) 1678321

13 (1) 53.937.37571

14 (2) 421.5030761

15 (1,3,5) 1950271

16 353.1697.4709377

17 (1) 190537.12690943

18 (2,6L,6M) L.M

L 73.541

M 55117

19 (1) 1787.4 8713705333

20 (4) 41.6 8754507401

21 (1,3,7) 2527867231

22 (2) 58477.70489.863017

23 (1) 113958101.990000731

24 (8) 5953.473896897

25 (1,5) 365568 8315536801

26 (2) 313.2341.629 1946695217

27 (1,3,9) 114967.883383463

28 (4) 281.337.617.8 1035189089

29 (1) 59.32713.272719 2763388813

30 (2,10) L.M

L (6L) 61.74161

M (6M) 181.3541

31 (1) 1894 9193118920 0021056951

32 2753.145601.1985497 9505843329

33 (1,3,11) 463.72073.127236649

34 (2) 934117.828971334 5361373993

35 (1,5,7) 631.701.2311.9241.585131

36 (4,12) 577.3313.247 8750186961

37 (1) 3923.109 6762734443.205 4788991719

38 (2) 103 0762781149.973614 5643041809

39 (1,3,13) 79.9049.868999.8857759

40 (8) 17761.3696985841.12 1206120881

41 (1) 83.28537.48374 5366377704 4375040181

106

107 Prime Factors 6+

42 (2,14) L.M

L (6M) 804146449

M (6L) 6055984789

43 (1) 412 4826886271 7807980759 8675848631

44 (4) 89.1500807647 9292298867 6714149209

45 (1,3,5,9,15) 476031781 6590150361

46 (2) 6073.2259889.9564781.12840749 4947883673

47 (1) 534577 5644608227 9143064788 3899825591

48 (16) 193.8641.688490113.6931400449

49 (1,7) 7*.76233 2681442053.9017961 6936384011

50 (2,10) 343801.22243201.174801673 5462726601

51 (1,3,17) 103.919.980146969.9 9617785207

52 (4) 192193.14090441.82844 3495052624 0125727017

53 (1) 107.97351567.3368 5364386033.7108046 4397105403

54 (2,6L,6M,18L,18M) L.M

L 591841.171467713

M 109.93 2461936453

55 (1,5,11) 11*.1031141.1 6336066781.8415 5540944421

56 (8) 113.4817.4048129.101894 4023901288 3075423169

57 (1,3,19) 457.137713.1 9032449293 8225748951

58 (2) 349.10 5134528469 7790716705 0163115932 8247729809

59 (1) 116365 8999540220 4164124464 8270891913 9658591671

60 (4,12,20) 13441.5 9257510962 7400042641

61 (1) 9151.457 7830180684 9453601626 1319828664 5069141001

62 (2) 4755276 7764994953 2328545697 7988880376 1183529901

63 (1,3,7,9,21) 127.15 4260982009.52892 1402377887

64 4926056449.44718330 9836853377.287 5378719705 6661026689

65 (1,5,13) 131.199930 7822984835 2304058410 8028862541

66 (2,22) L.M

L (6M) 3037.96493.4629769

M (6L) 622513.1 6266405013

67 (1) 269.418349.9057154395 2974835963.1917 5776064763 9121941197

68 (4) 137.5849.153605 2010629489.514205763 7481138140 3609445473

69 (1,3,23) 2464 8570768391.8 1621407908 4081564521

70 (2,10,14) 1350 9594555661.17081 1426320422 2806519161

71 (1) 37489.1173 5704315681.5757417 4854480594 2291474832 0317168839

72 (8,24) 22452257 7073545572 3534882978 5471057921

73 (1) 293.439.120855443.1389436303.4221 8834593780 3047082447 6438562257

74 (2) 37*.4441.330004 3400835529.190892 4076180229 9384106934 6975403017

75 (1,3,5,15,25) 151.168151.573178201.91862 8247364601

76 (4) 4561.35551 8408146401.502818748 6478069273.1303831368 0704041577

77 (1,7,11) 5701908 7134151254 0616666217 1772866916 7279862151

78 (2,26) L.M

L (6M) 8893.19774 3936282933

M (6L) 13*.157.642917 8169720749

79 (1) 317.5531.2832941.9968731 2908749681.8 5923191538 2798858681 5914947213

80 (16) 9601.281 0800069601.2347 1108401585 6381602818 6318246561

81 (1,3,9,27) 1783.149862151.3 9203443504 0964450709 3715799617

82 (2) 4046701.17 4521133001.24617 9376206361 7884664419 0195829394 9537091001

83 (1) 710813.6547890917.216 0853606264 4851877771.548243 6356462940 1758409941

84 (4,12,28) 117 6362433121.191009 0065554083 0489319601

85 (1,5,17) 1383638161.7208 5651321561.7407976 7201467492 7371043791

86 (2) 1033.6501601.29 1476498937 6043020733.P35

87 (1,3,29) 68209.92569.1439329.380675809.519258631.2 4378360481

88 (8) 9307950433.P53

89 (1) 179.P67

90 (2,6L,6M,10,30L,30M) L.M

L (18L) 559778011 2726834061

M (18M) 9001.211501.2106930961

91 (1,7,13) 2003.2549.36947.52769627.P38

92 (4) 14537.43 3176829049.P53

6+ Prime Factors 108

93 (1,3,31) 31*.P46

94 (2) 1693.10 2953854414 8223697293.305 8576236553 3687252981.P25

95 (1,5,19) 6271.2666738161.3 7260330001.6 1671024221.32 2950480910 6404383981

96 (32) P50

97 (1) 744970 8398813963.65 7121227607 6854019883.P37

98 (2,14) 288628033.P57

99 (1,3,9,11,33) 199.110881.P40

100 (4,20) 4801.5801.224401.10067 9582486748 6182291801.P26

101 (1) 607.82013.3866281.P64

102 (2,34) L.M

L (6M) 29537 2813790095 9095135649

M (6L) 1785001.1234698599 5648844989

103 (1) 7211.135025379.P68

104 (8) 36265841.141365953.P59

105 (1,3,5,7,15,21,35) 71191.P33

106 (2) 26713.175436926 0046476588 1024461373 6479118917.P39

107 (1) P83

108 (4,12,36) 433.115963921.87 8120899694 9976153601.2412 8200115598 5351966017

109 (1) 9661979.P77

110 (2,10,22) 42 3852369601.P51

111 (1,3,37) 223.7993.142969.P45

112 (16) 49 0972383553.P64

113 (1) 227.8363.586471.50 4344899998 8542328333.P54

114 (2,38) L.M

L (6L) 43321.6593 3426478188 3756771821

M (6M) 229.25309.2197693.30053 7265358917

115 (1,5,23) 2312699077 8420152651.P50

116 (4) 233.250793.4916777.6198809.90 0816990303 2260803977.P44

117 (1,3,9,13,39) 1873.P53

118 (2) 55 4971222573.P79

119 (1,7,17) 2 2885730141.268 1104713967.P52

120 (8,24,40) 55201.122401.21027841.P33

121 (1,11) 727.151866410 1859571862 9290023681.P55

122 (2) 60757.348433.55 8416270857.P72

123 (1,3,41) 1231.2683139282 5944278632 3996685119.P30

124 (4) 10 6179166897.106252 9732255153.5 0543059565 1453051641.P47

125 (1,5,25) 251.751.5501.269473086 0384999001.P51

126 (2,6L,6M,14,42L,42M) L.M

L (18M) 1009.17389.10339309.4812 9311534221

M (18L) P29

127 (1) 509.2287.65 5725263925 0807127523.P71

128 257.763649.50307329.3191106049.23 3934056646 3317436161.

.29830 2840560873 5541756929.P29 128

129 (1,3,43) 232 2118361887.P54

130 (2,10,26) 425101.57 1140885901.10951 1098852746 5328644161.P34

131 (1) 118766959.5620905557.1 8059147791.151 9139468453.

.1372861245 8887604325 9567675817.P32 131

132 (4,12,44) 602977.87917281.158 1003091009.33252 6664667473.P22

133 (1,7,19) 1050169.2783850843 5875439051.61 1061320211 1672866319.P37

134 (2) 4021.P100

135 (1,3,5,9,15,27,45) 271.219573 8619437791.P39

136 (8) 17*.23768 9796977120 0667937073.P74

137 (1) 51480217.4 5829651622 7915277929 5741463389.P68

138 (2,46) L.M

L (6L) 277.1234455 9539431993.1403003 6355387001

M (6M) 2302714 0435639321.27921951 9230141641

139 (1) 47 8404033683.P96

140 (4,20,28) 1 2309961806 8232205681.P55

141 (1,3,47) 1129.P69

142 (2) 4485781.3357157 9633135513.969155 8378159094 6342578117 6679854621.P50

143 (1,11,13) 2861.3712567.P84

109 Prime Factors 6+

144 (16,48) 115777.31057921.P63

145 (1,5,29) 168491.3 5969851301.711886 1191748501 8014870131.P46

146 (2) 877.16658893.2 0007314401.P92

147 (1,3,7,21,49) 32670457.1152319183.P49

148 (4) 12950593.1074268182 6196124641.P86

149 (1) 17808481.3908095969.P99

150 (2,10,50) L.M

L (6L,30L) P32

M (6M,30M) 38149201.3408 0098161413 0538049401

151 (1) 18772 5834236707 6264555657.577198399 6441748998 8525624247.P64

152 (8) 417827633.50 5981859041.26 8361934357 9360102399 8323852801.P61

153 (1,3,9,17,51) 147799.2927 4753335383.188841 1753890127.P41

154 (2,14,22) 4 0590776689.P83

155 (1,5,31) 73925704 2137049452 3616944935 4196288841.P56

156 (4,12,52) 8162 1337952258 8431707233.P51

157 (1) 1571.53381.259993.3 2577356503.P98

158 (2) 10429.P118

159 (1,3,53) 7985096 3147627239.8866296242 2062348511 4684453959.P35

160 (32) 82241.159540 9728230926 2360999041.

.4903 6264667685 7099922473 8379365121.P36 160

161 (1,7,23) 231841.3091531661.P88

162 (2,6L,6M,18L,18M,54L,54M) L.M

L P43

M 3966 1919912737.P29

163 (1) 11411.1712959177.5210 8050586547.4 1731779249 2527332337.

.3903318 4133630292 9436994813.P52 163

164 (4) 9082 3862327833 0868003863 5251306724 8343828857.P81

165 (1,3,5,11,15,33,55) 66198 2172984001.P48

166 (2) 997.778873.3020869.13852369.16118 4670755001.

.4 3780189181 7492814657.624 9222585566 2442512009.P48 166

167 (1) 2339.24 3622858759 2235686865 5021961427.P95

168 (8,24,56) 673.3 2769747803 6428448279 9810397121.P42

169 (1,13) 4057.11672007 0342348721.

.337830 7227685242 6237135081 1698946852 4398534111.P56 169

170 (2,10,34) 1021.3 7281047699 4982432801.22 4480729970 0346905001.

.418196 7467444158 7529015061.P30 170

171 (1,3,9,19,57) 6217432738 7790051073.P65

172 (4) 1721.1904729.5993513377.344 9220534377.

.2400135 8499561290 3097929322 1108376113.P63 172

173 (1) 347.P132

174 (2,58) L.M

L (6L) 104485957.3347320129.P27

M (6M) P44

175 (1,5,7,25,35) 3851.12601.1305192701.6 6631795301.P66

176 (16) 26536 5570360005 5300471675 9402716113 6363132036 8111914433.P71

177 (1,3,59) P91

178 (2)

92874768 9137205829 0085891129 9754687243 1499418685 0175573324 6139460861.P69

179 (1) 16111.3490859.317649821.216420 1732799819.189021308 8140761141.

.6 8401559316 8267521517.P65 179

180 (4,12,20,36,60) P75

181 (1) 1087.13757.13952929.632269201.3 3644936669.103 2407342933.P95

182 (2,14,26) 1093.8955493.P103

183 (1,3,61) 367.1676281.188247743 7757002169.P67

184 (8) 11 8593079873.3640953 1469515520 7401455201.

.160 0211859918 6832384453 3898916209.2912 2545034054 9787452278 2767870577.P34 184

185 (1,5,37) 5311351.3371674951.3085 8852252821.P83

186 (2,62) L.M

L (6M) 373.316201.532333.1680597049.1802142841.9538 8829922809

M (6L) 1489.P44

187 (1,11,17) 480615433.P116

6+ Prime Factors 110

188 (4) 4513.4889.347984 0316388138 6778838493 8483862609.P101

189 (1,3,7,9,21,27,63) 216217.4622286817.203823001 3432107097.P51

190 (2,10,38) 300961.2190 5019726901.3 4710107017 9037778781.P73

191 (1) 1258380199.1 5245395794 5936437771 7928165817.

.20894 2749740386 7536398051 1918504639.P75 191

192 (64) 769.272040961.10 3352381953.P78

193 (1) 773.1931.6563.96 4591900729.P128

194 (2) 145501.57224 0484565153.4 0437112381 8722970575 4319631461.P99

195 (1,3,5,13,15,39,65) 1951.50311.78296791.P59

196 (4,28) 352409.171103297.11 0495360641.P106

197 (1) 4729.P149

198 (2,6L,6M,22,66L,66M) L.M

L (18M) 397.7129.118496047 1459158549.123 3598889198 5043955517

M (18L) 23761.1 3705107769.69 7344975757.2 5425385979 6489462713

199 (1) 236029523.379 9311562897.3187 8912911333.7771914 0435208369.P103

200 (8,40) 401.88610 9293550401.81261071 3899205201.

.5977338652 2355896001.214 6317076648 0994553601.P47 200

201 (1,3,67) 68 2489921447.266 5157957929.19 1992022588 8720033879.P58

202 (2) 5390 2351586977.194721394 2756469621 6240566673.P114

203 (1,7,29) 29*.23549.140071.4131 6543716813.40645712 7805781473.P89

204 (4,12,68) 8715697.35540881.P86

205 (1,5,41) 821.21 8646938147 5738293871.2 1916836929 1245226353 0405964341.P70

206 (2) 840 8219407597.

.2678 6241439528 0845751633 0191792080 3227185478 4088775249 3464690277.P83 206

207 (1,3,9,23,69) 4811469913.6 1040960263.25 2808832792 4319935241 5750302719.P51

208 (16) 2099459291 0993979280 7681119841.P121

209 (1,11,19) 419.87713957.

.6907939 1915767473 4946282168 4466659106 7865219146 8497041123.P73 209

210 (2,10,14,70) L.M

L (6M,30M,42L) 66361.2138 7387918961.4164908589 1390429201

M (6L,30L,42M) 9120301.P30

211 (1) 91997.525720 1752845087 2868981647.P133

212 (4) 6969 3040414889.2008934031 0546423313.11 1099811298 3390874377.

.831830515 4523444733 6922778521.8250997451 2416638980 3400429081.P49 212

213 (1,3,71) 5113.74551.2673405 6474599359.P84

214 (2) 51141721.7254122353.P148

215 (1,5,43) 8171.1211741.21619111.945889289 4402537221.P95

216 (8,24,72) 3457.19009.P105

217 (1,7,31) 8981 6745465847.11001414 1145558053 3471034569.P100

218 (2) 33579042 4559680201.28 8093384837 4725856201.

.378303336 9252816683 9600001523 8257668805 2300376449.P81 218

219 (1,3,73) 10513.65600137.7426195831.46726 0890471943.

.638855147 1149527279.P57 219

220 (4,20,44) 8247361.778055521.25 4055515561.2069524 8084558521.

.5 1806007233 5148988041.65609700 0483987896 5676927281.P33 220

221 (1,13,17) 443.66728 5023687316 4425783418 8952657813.P113

222 (2,74) L.M

L (6M) 82660813.1 2023017393.P38

M (6L) 270841.205760 4700829917.6371742 7974558037.829687576 8265773901

223 (1) 10259.968713.224523 3071284547.2 3251815697 2996725239.

.6 6654649252 4951029181.

.83579065 5259197870 5863199558 7876457413 6853697743.P59 223

224 (32) 449.1 4050095361.

.4 3479315879 8482438655 6915294792 7677259578 7341859010 0902582977.P76 224

225 (1,3,5,9,15,25,45,75) 1801.4468904551.526 7460432151.

.1802772 0294319663 8580206001.P42 225

226 (2) 267 8668139593.7452 0969665581.

.8 2787563486 5306157105 3938306201 6180279313.P108 226

227 (1) 715 5680908793 5085523319.3983501 7614149393 5951217441.

.1 0185701811 3424074134 6108055571 8755753916 0628544405 5532689903.P67 227

228 (4,12,76) 8502577.704672974 3430131549 6188595297.P77

111 Prime Factors 6+

229 (1) 2469 2063988803.P164

230 (2,10,46) 489901.9528100260 1500920612 8296414875 2758062946 1615901941.P82

231 (1,3,7,11,21,33,77) 944005 0343754637 2775546407 3082424887.P58

232 (8) 3240229719 2556687417 7785587856 0898355441 9311526178 9544399681.P115

233 (1) 467.1399.

.163877 3752376728 7078980615 7730284778 9021354516 8814576817 8589145021.P110 233

234 (2,6L,6M,26,78L,78M) L.M

L (18M) 1044927469.P47

M (18L) 21529.580 6612933322 7697089409.P30

235 (1,5,47) 150301041 7562301835 7289123321 6900932066 6477334603 9681810841.P86

236 (4) 499203536 6913467897.21948439 5139691811 6457818851 2458069689.P125

237 (1,3,79) 47093 9983769122 3036624311 0271664383.P87

238 (2,14,34) 2857.236834 4826245732 4289601073.12233994 4157898132 9719781061.

.7340 9071479761 4309006739 3104626029.P60 238

239 (1) 146715409.457 7909312531.1199673655 7726158297.

.5558033798 2189268741.32530713 5115019287 8011946957.P98 239

240 (16,48,80) P100

241 (1) 1447.1125808 9375071587 7136155593 6049934936 9034796331 5703776847.

.333 8316602238 4432312713 1130894040 8766703222 4070331130 4485275421.P65 241

242 (2,22) 1453.16998867 9132951027 7176681109.

.54534460 8882915450 4711498574 4571945145 1381455375 9428356613.P84 242

243 (1,3,9,27,81) 487.939439.1254367.3816559.1 2685746961.P95

244 (4) 5857.412849. C178 244

245 (1,5,7,35,49) 491.5 3171499859 9056253801.577 1811756135 5946617161.

.20765 3186775519 6744245501.P61 245

246 (2,82) L.M

L (6M) 7873.595894155 3345630517 3269384769.P30

M (6L) 3 7448441257.159187 1626929745 3972620877.P27

247 (1,13,19) 23842881 9287279709 4543947807 9946872806 3645576507.P121

248 (8) 26 5533200728 7526596353.P166

249 (1,3,83) 1 8879747223.P118

250 (2,10,50) 1 8347449147 5865399686 8853565501.

.761206864 7760892587 5672791716 9846945126 0170146501.P77 250

251 (1) 2796981 1991472751. C179 251

252 (4,12,28,36,84) 2017.142539 8717511217.P94

253 (1,11,23) 291 6281795549.

.44249044 7397887376 5064495306 6380070663 7907696507.P112 253

254 (2) 14 0348646913.2597 4264373441.4951587827 8227889669.

.919631 1857217178 9377372037.235 3332942426 2872757073 4732881529.

.1516570873 6690191667 7911827594 8915051773.P55 254

255 (1,3,5,15,17,51,85) 47431.24131 7924973591.

.850 2717192143 5050283513 2764398471.P48 255

256 18433.696159865 6913942337 5849495295 9095499568 1382885388 8948633601.P137

257 (1) C200 257

258 (2,86) L.M

L (6L) P66

M (6M) 75 2393127973.P54

259 (1,7,37) 334868353.425555 2817165375 8816503341.P134

260 (4,20,52) 521.380641.98735521.286293102 3015114481.

.3277919502 2307860881.259841965 8213748436 1518374801.P67 260

261 (1,3,9,29,87) 828396 3567043783.309920992 4759291137.

.4489424516 6647019137.15 3539797704 0517521649 3168455121.P46 261

262 (2) 25153.P198

263 (1) 5261.30383 4678444151. C186 263

264 (8,24,88) 3169.2508001.3537601.8245249.

.65 3601194883 8551178811 5672063955 3118131649.P60 264

265 (1,5,53) 9011.3 0871938731.7388373037 4153134711.P128

266 (2,14,38) 1597.28729.18151 4505515281.1990027 1591604097.

.7479560026 5930240481.1292 0114403080 2371695392 4874633901.P77 266

267 (1,3,89) 10289 5570700431.73738 0287479449.

.10597454 8536692346 1644327075 6994034202 2635766599.P62 267

6+ Prime Factors 112

268 (4) 856 9643669801.86 0862336592 1809689881.

.1581 1086180835 9460225384 7328498841.C138 268

269 (1) 258241.178613311.1 6328634290 7309883903.

.2 6917859611 0556567283 0216572574 0157055483.C135 269

270 (2,6L,6M,10,18L,18M,30L,30M,90L,90M) L.M

L (54L) 39326041.5 1353541541.7540 8883542901.6991 2042954864 6987756001

M (54M) 4861.15 9594687181.3477549 9883178521.39403 7442337437 9301990321

271 (1) 444329 9354431499. C195 271

272 (16) 257857.80189953.350828321.P178

273 (1,3,7,13,21,39,91) 3216487.P106

274 (2) 77269.1422061.1 9955176141. C191 274

275 (1,5,11,25,55) 11551.1458601.541019051.P137

276 (4,12,92) 100 6002606571 3210639336 7429005921.P105

277 (1) 8311.9419.113017.8065133.14 3476139909.P184

278 (2) 1561232989.P206

279 (1,3,9,31,93) P141

280 (8,40,56) 3361.275521.11672641.5576968321.P124

281 (1) 563.8431.135 1757950997.140 6306252130 2839553357.

.199 7469619962 3424031237.1156004605 7865072038 3010805853.P126 281

282 (2,94) L.M

L (6L) 333790 3223042569.P57

M (6M) 949160200 0279600777.P53

283 (1) 22299700 6311538766 5250948239. C193 283

284 (4) 569.392489.469077689.896 0414689257 3318713736 5896107353. C168 284

285 (1,3,5,15,19,57,95) 408447463 4999946443 6020322521.P84

286 (2,22,26) 252253.29518633. C174 286

287 (1,7,41) 1121023.28531157 5637232993 0021879179. C154 287

288 (32,96) 1153.1984301569.15 6710318749 9033148929.P116

289 (1,17) 8093.23 2788929250 3425831829 4404644503.

.7679 9623612093 5079524576 6079339091.C143 289

290 (2,10,58) 1741.375841.P166

291 (1,3,97) 135607.334 3385035897.P132

292 (4) C225 292

293 (1) 587.1782 8792392643.P212

294 (2,14,98) L.M

L (6L,42M) 843405 2750068597.P50

M (6M,42L) P66

295 (1,5,59) 2044155216 6028072811.P162

296 (8) 593.13 7045594113.675 8410568257.5519 7682698737.

.837582946 3350094657.4563704623 3441330193.

.28 2924772880 6215136257.147 0711926940 4607768750 4556871041.P92 296

297 (1,3,9,11,27,33,99) 2377.4159.5014719043 6375827433.P114

298 (2) 682568 8699471381. C215 298

299 (1,13,23) 3241759.5666051.P193

300 (4,12,20,60,100) 2056871500 6531358436 1634503328 8599993601.P86

301 (1,7,43) 29 8183187219.393091 1502995317 4936420529 7712116979. C150 301

302 (2) 19515241.895128953 2327540357.27564 1636223153 1449082493 5535295293.C173 302

303 (1,3,101) 10303.21561481. C145 303

304 (16) 440123297. C216 304

305 (1,5,61) 1054 2843898331.P174

306 (2,6L,6M,34,102L,102M) L.M

L (18M) 613.12241.8463700 5455859651 8376711409.P41

M (18L) 6121.5737 2656104261.P58

307 (1) 4 7325620843 3324971419 6514227673.55 3856983711 2958803062 9087875349.P176

308 (4,28,44) 65725969.596 4965212879 3520533433.P157

309 (1,3,103) 427039.26432479.P146

310 (2,10,62) 27901.50221.37 2201769081.561 1229634961 0045406881.P144

311 (1) 2 5253560139.431 0758347899.1870 7517257089.

.652686 2335251037 4655683719.15375 9974221862 9171993391 5126668351.

.2495174740 0323371044 5500701299 6408231601.

.386497814 6331181248 2481063093 9505105828 8828336437.P57 311

113 Prime Factors 6+

312 (8,24,104) 1249.9457 8317595841.P133

313 (1) 22699 5903246587 4003365857.P219

314 (2) 55 8436298701.438 7767153479 1092362933. C209 314

315 (1,3,5,7,9,15,21,35,45,63,105) 272566 7472495241.

.8 8130323871 1788245469 2315491751.P66 315

316 (4) 1578867457.1 6162944961.8836 2484215497. C210 316

317 (1) 974459.434022 3635815993. C225 317

318 (2,106) L.M

L (6L) 4013301142 5325338673.P62

M (6M) 6997.10786528 4306808709 7186164246 3992861493.P40

319 (1,11,29) 1277.169709.1034019361.125221711 6623387773.P183

320 (64) 641.6827521.62143 2697463041.174303658 2663429761.

.248043128 8764419201.P139 320

321 (1,3,107) 2651847769.P156

322 (2,14,46) 1933.2593505209.476275 6207579441.P178

323 (1,17,19) 13567. C221 323

324 (4,12,36,108) 2593.3889.405671953 0621312834 2900074449.P133

325 (1,5,13,25,65) 43798301.8 8461995051.

.51 2517661513 9717295361 7959306150 6405316951.P127 325

326 (2) 9128653.86 2123028232 4652331661 3331820319 5759014737. C204 326

327 (1,3,109) 32560 2227159887 5682006278 1110511873.P134

328 (8) 554977.1487809.P238

329 (1,7,47) 659.6581.13 1589345007.2909 1932006593.641722120 4788802521.

.9937963371 4344941623.5608779 0672078793 4003619587.

.6880324 2681264737 9990413979.P92 329

330 (2,10,22,110) L.M

L (6M,30M,66L) 661.144541.1 4966414761.P45

M (6L,30L,66M) 1321.110221.188074921.P46

-------------------------------------------------------------------------------

342 (2,6L,6M,38,114L,114M) L.M

L (18L) 60204997.4765941001.23501179 4248567117.4 7316473791 3969822009.P29

M (18M) 37187713.P77

354 (2,118) L.M

L (6M) 709.2833.254923189.P76

M (6L) P91

366 (2,122) L.M

L (6M) 8053.241561.1016 1211191529.4573 4687984987 8822260409.P47

M (6L) 733.30694 6280522833 8593646133.1739410009 6553853775 5852657517.P38

378 (2,6L,6M,14,18L,18M,42L,42M,126L,126M) L.M

L (54M) 1 0794083454 4630662943 4220802955 2733580361.P45

M (54L) 757.9829.2592 2662363359 8481802123 7855668549.P44

390 (2,10,26,130) L.M

L (6M,30M,78L) 342421.55088 6253415684 7958466759 8703368001.P35

M (6L,30L,78M) 122210 6886101401.P60

402 (2,134) L.M

L (6L) 1609.18493.64009167 4182677660 8939188781.P68

M (6M) 9826638 7530667777.P86

414 (2,6L,6M,46,138L,138M) L.M

L (18L) 1657.102673.284833.3173 9306955000 3186820046 0576210513 2924971289.P46

M (18M) 829.1195928 0174921358 1571134447 7809659138 4713470257.P54

426 (2,142) L.M

L (6L) 853.99535753.1 5006883477.1 7403644677.

.1 0927761756 0493622693 0157745921.P48 426L

M (6M) 17041.5123509669.6 1803564541.25 3055139049.P73

438 (2,146) L.M

L (6L) 1753.26245837.5 1911357917.332963 4082406617.

.432212870 1610242421.68 9811909540 2110707133.P36 438L

M (6M) 8761.28348020 0282934561.P91

450 (2,6L,6M,10,30L,30M,50,150L,150M) L.M

L (18L,90L) 2 6922319201.P83

M (18M,90M) 5771844901.1 5198535801.272 4303865501.31224128 3985799801.P44

6+ Prime Factors 114

462 (2,14,22,154) L.M

L (6L,42M,66M) 7393.55441.449989.2123353.3834601.

.4473 0933830084 4744160129.P43 462L

M (6M,42L,66L) 93 8733964477.4609 4532937993.8115459 1004568313.P52

474 (2,158) L.M

L (6M) 3793.P118

M (6L) 5689.18709729.317233981.1945096921.P94

486 (2,6L,6M,18L,18M,54L,54M,162L,162M) L.M

L 763296049.P118

M 17082732 1094639893.34094 6311768944 2128783261.

.3 1714835472 7405962498 5263562628 1791475129.P44 486M

498 (2,166) L.M

L (6M) P128

M (6L) 1993.24 5351666247 7885603124 0823485603 7538218169.P84

510 (2,10,34,170) L.M

L (6M,30M,102L) 484 6014905718 8690349351 8015104501.P68

M (6L,30L,102M) P100

522 (2,6L,6M,58,174L,174M) L.M

L (18L) 2089.29 0924056117.94734949 3773774517.P99

M (18M) 359137.279795 8656485541.P110

534 (2,178) L.M

L (6M) 1069.694201.2803 1381649109.19694735 5253345341.P97

M (6L) 2137.7 2373984885 7641030189.P114

546 (2,14,26,182) L.M

L (6L,42M,78M) 15289.P108

M (6M,42L,78L) 16381.162 7627815399 7133773431 6347164963 1733474853.P67

558 (2,6L,6M,62,186L,186M) L.M

L (18M) 11161.15746 2752204253.2112421421 7163783261.

.15201 6875624532 1923557857.P79 558L

M (18L) 1117.P138

570 (2,10,38,190) L.M

L (6L,30L,114L) 2281.2358661.381 7262181721.619720 8621830041.

.8 8806687080 6284147801.P53 570L

M (6M,30M,114M) 1880551 6694127001.P97

582 (2,194) L.M

L (6L) 169699 5935981617.P135

M (6M) 97*.

.1083115 8919491438 2664863536 6282163052 4004381873 0349946460 9499226261.P81 582M

594 (2,6L,6M,18L,18M,22,66L,66M,198L,198M) L.M

L (54M) 28964629.1553664 9073902661.2942674 9337349541.

.194 2974718358 3833735981.P78 594L

M (54L) 3155329.176 9896060168 3054308649.35128309 6611268378 2744191389.P84

606 (2,202) L.M

L (6L) 1213.25453.215737.93098 5424669173.P129

M (6M) 3637.181339441.7 3805592037.25730 9257577257.34332 0968801689.P104

618 (2,206) L.M

L (6M) 3 3703023049.3171219 6448668781.P132

M (6L) 1237.33479895 3136016503 6569511760 3613865333.P119

630 (2,6L,6M,10,14,30L,30M,42L,42M,70,210L,210M) L.M

L (18M,90M,126L) 51 4379712421.922683 0539692081.

.2 5319786186 5025639316 2606524681.P55 630L

M (18L,90L,126M) 2521.6797701.346409259 5315894059 7772893101.P74

642 (2,214) L.M

L (6M) 5972962561.14 2696920050 7388358761.17402 6910446308 6681404229.

.1 0200602444 0756182556 5400125523 7011614621.P70 642L

M (6L) 10273.533550 3285366949 0874614844 9547022477.P126

654 (2,218) L.M

L (6M) 132109.878550901.7 0971053221.716396 9211901657.

.151876 9073541305 0491663016 3154066721.

.148 0112921488 5864423782 8324041284 0195548801.P50 654L

M (6L) C169 654M

115 Prime Factors 6+

66h + 1 = (62h + 1)L:M; L = T 2 􀀀 T:6k + 6h; M = T 2 + T:6k + 6h; T = 6h + 1; h = 2k 􀀀 1:

7􀀀

Factorizations of 7n 􀀀 1; n odd, n < 300

n Prime Factors

1 2.3

3 (1) 3*.19

5 (1) 2801

7 (1) 29.4733

9 (1,3) 3*.37.1063

11 (1) 1123.293459

13 (1) 1 6148168401

15 (1,3,5) 31.159871

17 (1) 14009.2767631689

19 (1) 419.453 4166740403

21 (1,3,7) 1 1898664849

23 (1) 47.3083.3147 9823396757

25 (1,5) 2551.3128 0679788951

27 (1,3,9) 3*.109.811.2377.2583253

29 (1) 59.127540261.7131 6922984999

31 (1) 311.21143.399908827 9399464409

33 (1,3,11) 3631.1532917.12323587

35 (1,5,7) 2127431041.7 7192844961

37 (1) 223.2887.48053 4510949231 5767981401

39 (1,3,13) 486643.7524739.44975113

41 (1) 83.20515909.43621 3933622906 8656094783

43 (1) 16600360 7842448777.219253706 2271178641

45 (1,3,5,9,15) 1527007411.12 5096112091

47 (1) 1372281 6749522711.636 8151199641 8550459487

49 (1,7) 3529.1074473.13473433.610650582 5833677713

51 (1,3,17) 103.365773.2316281689.1 0879733611

53 (1) 8269.319591.38904 2760170351 8805637205 1839841219

55 (1,5,11) 5457 5868045960 6209117545 5674392801

57 (1,3,19) 19*.19609.879399649.695753 3874046531

59 (1) 459257.134927809.550413361.3546393 2368454561 2988577649

61 (1) 367.4759.177237331.1914662 4498137276 6068053032 6064591907

63 (1,3,7,9,21) 2 6439999176 6072878780 8396988849

65 (1,5,13) 131.157951.787021.444 6437759531.43450 2978835771

67 (1) 228337.147300841.206244761.10052 0117573708 2903354093 2021825161

69 (1,3,23) 139.40 2011881627.2351 6966239506 9356312233

71 (1) 99064 3452963163.16900 2145064468 5567656769 7524741375 6542145739

73 (1) 439.3675989.359390389.195842 3494433591.72226052 2810553620 2757606969

75 (1,3,5,15,25) 29251.2176481809 9272172950 6406538251

77 (1,7,11) 724487149.6809710909.88 2626123167 5452610762 1113329689

79 (1) 9132424 0736761084 3676812931.1056836588 6448537387 0455748255 2056406147

81 (1,3,9,27) 3*.1621.3727.3368791.70 7223088124 0167417499 3533367023

83 (1) 167.66733.76066181.7685542369.6291 1130477521.30356 7967057423.

.1862427 5418445601 83

85 (1,5,17) 1531.4931.P48

87 (1,3,29) 2576743207.19691570 4073465747.3 5847590740 8445923469

89 (1) 1805633.184 8960531474 0987765913.P46

91 (1,7,13) 7304123737.2314 1045143553 8144122809.P28

93 (1,3,31) 5463751.221116 4386353499.P29

95 (1,5,19) 36671.1966385431.P47

97 (1) 389.971.P76

99 (1,3,9,11,33) 199.173647.P44

116

117 Prime Factors 7􀀀

101 (1) 607.809.6263.P76

103 (1) 17923.P83

105 (1,3,5,7,15,21,35) P41

107 (1) 2 2710928374 5807808529.16 2022156888 1364582821.P49

109 (1) 1455128 8401737861.635057076 9004888010 1785428103.P47

111 (1,3,37) 6217.177379.567 1387564314 9053038693.P29

113 (1) 227.P93

115 (1,5,23) 1151.188831.1446701.72 3461377501.2722950783 6853201541.P29

117 (1,3,9,13,39) 1873.322921.2280097.7687225261.P36

119 (1,7,17) 12377.34273.30521358 8009240737.4407 7982388362 8367834893.P32

121 (1,11) 1453.65099.1179526 1559086963.587923 1512401382 3398811997.P44

123 (1,3,41) 267403.P63

125 (1,5,25) 251.21 8281675375 8823696751.P61

127 (1) 260461507.5543512265 0527538067 6162672703.P69

129 (1,3,43) 10837.6335 0976270733.1754 4658428139 5198837259.P30

131 (1) P110

133 (1,7,19) 401563177.2662276961.37374 0808373213.8 9755851340 7803666357.P38

135 (1,3,5,9,15,27,45) 271.185221.17556187 6921802311.P36

137 (1) 2741.213721.251533.571629223 9925400235 2124124899.

.654802034 5846490296 5944539043.P44 137

139 (1) 19739.673039.P107

141 (1,3,47) 283.5960917.P69

143 (1,11,13) 52880 8508322667.37 6215890379 3159973114 1637278469 1746214777.P46

145 (1,5,29) 4899841.2774636326 4566796500 8782910911.P59

147 (1,3,7,21,49) 406 0603391041.4247 7087133990 3301567509.P35

149 (1) P126

151 (1) 11 5356256117.3607 6003832567.2 0646252050 3013793561.

.28 5634900131 5592319937.P61 151

153 (1,3,9,17,51) 307.613.4591.44371.440 7286280409 1655188147.P45

155 (1,5,31) 21391.21701.1622982371.9254997611.P74

157 (1) 4397.5653.103 9945344901.P113

159 (1,3,53) 32119.1695259.842476820 6300585046 4952755729.P49

161 (1,7,23) 4406588677.46151 8579693533 4098258901.P78

163 (1) 653.9781.1260643.9622 0794501447 0392304193.

.164853 6343690282 9757644893 8356267839 6141955057.P55 163

165 (1,3,5,11,15,33,55) 7591.3 6647640811.19 4695106338 6221338821.P32

167 (1) 2158061509.6 2393237420 4290945359.

.494 8168947939 4543419575 6741367539.P78 167

169 (1,13) 14 5297991540 2500135854 4173625739 2636887413 4931212567.P81

171 (1,3,9,19,57) 18684829.967 4698906207.1753369387 7023611817 6950803989.P42

173 (1) 949193558 6594867440 3673916464 6692592621 1879363793.P97

175 (1,5,7,25,35) 701.123757861 2719152201.10 9447131760 6762277701.P60

177 (1,3,59) 709.89209.22 7248655866 3495326198 6967832791.P59

179 (1) 41887.1498 7498700092 6513705179.P123

181 (1) 1811.1 3873726021.61880594 7190964867.3643088 0778632294 3430987769.P95

183 (1,3,61) 5153013553.104199 6664707365 4595992013 7256413473.P57

185 (1,5,37) 1481.6661.219041.P110

187 (1,11,17) 10099.10 7969286569.

.15766342 7378398137 4654904510 4950357055 8624435143.P73 187

189 (1,3,7,9,21,27,63) 757.59062 5534947766 0375285361.P64

191 (1) 383.355 4639684154 8971517329.P136

193 (1) 14669.857 2828535540 9267895679.7569371 5591039004 4916932629.

.5994 9463273047 1246870557 1873826831.

.4539546 9704855364 3642470747 5812653713.P38 193

195 (1,3,5,13,15,39,65) 567538141.1 4046059431.P63

197 (1) 3547.6159369299.P153

199 (1) 3583.214 6612951394 3188564383 2154153997.

.8653911665 3269014086 9610510206 2701223228 4504261471.P82 199

201 (1,3,67) 85627.13 2955527487.77 5594571863.9852 7557194917.

.42899 5274049217.P55 201

7􀀀 Prime Factors 118

203 (1,7,29) 29*.60089.145 9166196122 8378338637 0190568409.

.11 5856059599 0812530792 6193567884 6777747767 4946730941.P53 203

205 (1,5,41)

834035 4916280673 9761597177 8938263976 9271804943 4998230297 5033997201.P70

207 (1,3,9,23,69) 7756 9456660417.227556220 1362875060 2894227677 0826968937.P60

209 (1,11,19) 804854187 6545647951.P134

211 (1) 141793.2590182818 1222890897 4285857741 7976686017 0863299438 6\

954137952 5493050519 1880636307.P93 211

213 (1,3,71) 968299.58 2053568181.

.127475 9667849259 7325057743 7632619381 6317726317.P56 213

215 (1,5,43) 31391.822161.1130017632 2829911971.1 4779541084 5880963171.

.1 1916717598 6645391513 0830688880 3765941891.P53 215

217 (1,7,31) 604997.195680 8820481173.6 0285880182 4822604293.

.6264 7594006553 9137153553.14784849 8072518370 4794749135 9227676537.P50 217

219 (1,3,73) 877.1699904022 5222266951.P100

221 (1,13,17) 22543.76 0999500977.9761302 0419921175 2491070394 7100342853.P109

223 (1) 1 7288166877.13 2218621369.P167

225 (1,3,5,9,15,25,45,75) 8101.1708445701.1 2125741837 4086998051.

.20 2977811821 6947854694 6347835701.P37 225

227 (1) 6246307 8483642684 5238059277 8468910308 8686041429.

.9856289697 5488148732 2427476013 0028454242 8765101790 4086946721.P85 227

229 (1) 50839.8771 5610063134 9161821926 0558398401.P155

231 (1,3,7,11,21,33,77) 1793870233.12584453 8662442909.

.37526915 4594756066 9458268649.P48 231

233 (1) 467.7 9227874003.135149985 4688664607 8035233993. C155 233

235 (1,5,47) 28128946 1973580408 7343816418 2618515877 0508037564 7708714001.P98

237 (1,3,79) 2371.5296373383 3472940548 3135077873.P99

239 (1) 479.871986721.64338 4173113837.4040 6092739253 8868579985 6703093687.P142

241 (1) 1447.28439.3348607 8253526557.58035187 2045743557.

.54728 3138069536 8694129489 7537738522 2182769003.

.29 3702655045 1562627666 1511502790 7833012590 9163812627.P65 241

243 (1,3,9,27,81) 3*.1459.169129.1382671.73 8707874768 4993339347 4604683663.P91

245 (1,5,7,35,49) 4896864001.9152363081.1149 2120512321.

.3532 0795799740 2826578121.P86 245

247 (1,13,19) 6917.2 2931541257.1497586 9588530371.P153

249 (1,3,83) 11606389.4149179 4184631137.

.7635435 9945860977 7345714919 6287430492 3412180177.P68 249

251 (1) 503.27611.889 5962998159.P192

253 (1,11,23) 1106436299. C177 253

255 (1,3,5,15,17,51,85) 580381.32 6568900271.60 4822302841.P80

257 (1) 1543.19 9878409095 8019204289. C192 257

259 (1,7,37) 3109.65269. C175 259

261 (1,3,9,29,87) 523.5743.8 3226515419.71007 4092185677.

.474062 5067082427 6070177155 3376690953.P75 261

263 (1) 111473077.24 6420328513. C203 263

265 (1,5,53) 1061.3041671.19069931.1 8797842269 9271372501.

.21 2135996587 8574657749 9458347207 7008056991.

.10532296 1980986497 3568366478 2308569743 8251004501.P51 265

267 (1,3,89) 2871385577 3905923529 3255861296 0572694702 9936343189 321\

7413044 6555537271.P80 267

269 (1) 2153. C224 269

271 (1) 6780421.164514887. C214 271

273 (1,3,7,13,21,39,91) 1093.

.8942 6528511765 7047082911 2432548613 6663859609 0445735393.P65 273

275 (1,5,11,25,55) 242929786 4813474051.

.1 3108478445 6795851879 4584656279 2720732451.

.15 2254207931 5248706409 0726418125 7222395351.P70 275

277 (1) 137947.8954857.6 0770576810 5925529871. C201 277

279 (1,3,9,31,93)

8 2484547340 3230639635 0042707176 5882340704 0574201480 4291507291.P92

119 Prime Factors 7􀀀

281 (1) 563.8431.34 1614931501.442013573 8596254569.

.372634 0960916282 2932103935 8180848549.C165 281

283 (1) 644316289.18273949 7717749501.P213

285 (1,3,5,15,19,57,95) 523261.9358676077 6923620671.

.801 8393466429 2567561851.P74 285

287 (1,7,41) 12412177.240 5532607493.2174767645 7911610417.

.73 8710854664 9323732057 3758829809 0279327121.P123 287

289 (1,17) 1828793.801172 4366552960 2959164650 0403317187.

.2 6773640876 5413358758 2109244448 4138995809.P148 289

291 (1,3,97) 4657.134002009.951340693.2 3363930803.

.5888849368 3908838977 3662393029.11 0897675318 8497781663 8380462821.P71 291

293 (1) 587.15823.P240

295 (1,5,59) 123311. C191 295

297 (1,3,9,11,27,33,99) 5347.27170749.P141

299 (1,13,23) 1045903.5240570609.6443 2450872271.

.124 0178151825 5741477249 4313985201.

.121219 2499408334 0477007991 5022116301.P127 299

7+

Factorizations of 7n + 1; n _ 301

L,M for n = 14k 􀀀 7 _ 595

n Prime Factors

1 2.2.2

2 2*.5.5

3 (1) 43

4 2*.1201

5 (1) 11.191

6 (2) 13.181

7 (1) L.M

L 113

M 911

8 2*.17.169553

9 (1,3) 117307

10 (2) 5*.281.4021

11 (1) 23.10746341

12 (4) 73.193.409

13 (1) 53.228511817

14 (2) 1 3564461457

15 (1,3,5) 6568801

16 2*.353.4 7072139617

17 (1) 2907 8814248401

18 (2,6) 1 3841169553

19 (1) 351121.4058036683

20 (4) 41.81 0221830361

21 (1,3) L.M

L (7L) 309079

M (7M) 51031

22 (2) 661.1409.8 3960385389

23 (1) 342109341 7510114543

24 (8) 3323 2924804801

25 (1,5) 7978751 9018560501

26 (2) 157.119585736 7853217109

27 (1,3,9) 162841 3557556843

28 (4) 337.2129.517553.515717329

29 (1) 4024 8821947664 7465854701

30 (2,6,10) 61.55 5915824341

31 (1) 373.9754399.542050 6947192709

32 2*.7699649.134818753.53 1968664833

33 (1,3,11) 67.135710 5535093947

34 (2) 137.59361349.13308803 9373662309

35 (1,5) L.M

L (7M) 421.12128131

M (7L) 71.603926681

36 (4,12) 42409.137089.3 2952799801

37 (1) 149.155722449 0018252877 7225808449

38 (2) 2 5986962289 4246040234 3442913969

39 (1,3,13) 79.23850061.11 5868130379

40 (8) 881.542081.231258184 1562813841

41 (1) 4849399.8999993.1636258751.7 8009515593

42 (2,6,14) 1 9548939079 6456327201

43 (1) 947.19867.20899.163573.235211.3799051.4749781

120

121 Prime Factors 7+

44 (4) 89.8713.82069736 0915053644 6402438593

45 (1,3,5,9,15) 541.154351.295831.7777981

46 (2) 26681.649981.15513961.5568194236 1860463813

47 (1) 655417289 5945379543 0768233985 7743931943

48 (16) 97.104837857.10860439 7663266369

49 (1,7L,7M) L.M

L 197.883.161309.19847549

M 3823.1445599.101361401

50 (2,10) 5*.101.13001.25301.383 2796630023 1909291101

51 (1,3,17) 1135261.12192877.9092 0746649833

52 (4) 313.85094881.1 3774546353 4253746093 5008154217

53 (1) 107.345449549.3541 6476134069.5890231697 0027001503

54 (2,6,18) 26893.16 7039577217.59029 7313273013

55 (1,5,11) 11*.331.2311.38501.2864401.784081 5905526451

56 (8) 449.673.39648001.2153 5258550401.14225 6806230113

57 (1,3,19) 457.2 4006520939.27543025 1632699963

58 (2) 233.136853089.5571 6067510309.1167 1464002897 3541741413

59 (1) 122131.4261190159.118 7164242679.146 8340366288 8806475673

60 (4,12,20) 12913561.8556026185 9655897641

61 (1) 4 4451912814 7170444656 9146729456 8943905088 0209231501

62 (2) 3 3947629297.7450264876 8583254173.1 9684632540 9292090901

63 (1,3,9) L.M

L (7L,21L) 127.9829.1506625093

M (7M,21M) 20801593.67979647

64 2*.35969.111 0623386241.15266848 1967935560 9808500033 2888634369

65 (1,5,13) 1175071.35695 0438690490 4922217454 3845808031

66 (2,6,22) 29569.2784937.678240817.11632 0403133001

67 (1) 20771.655775085 3567755279.383 9426654656 3506831258 1125821527

68 (4) 20129.94793.63899 1748543082 1130374560 0942029347 7766438233

69 (1,3,23) 277.739 6787205469.85 0194891513 6155490673

70 (2,10,14) 10 2314938321.1869 0488255321.1958484 5505919961

71 (1) 135140 5472411521.9291 4860840816 8881173724 3372441958 4467881183

72 (8,24) 129169.25726609.51385969.635311009.33 8325042961

73 (1) 3067.279883.71 6764748064 3504302058 1747544866 9879053881 8746798241

74 (2) 6 8910429493 0588221439 4659726647 3448649585 1596715859 6120016737

75 (1,3,5,15,25) 151.600 5492312551.702137028 9199888801

76 (4) 44118001.700197881.129 5161807633.129925 4811081649.13521443 4686939513

77 (1,11) L.M

L (7M) 258576319.3281726 2777539703

M (7L) 463.333103.44363232 3630099913

78 (2,6,26) 13*.36530261 6611175569.78 8642210755 6319674933

79 (1) 317.2874811.757376306 5938754357.P39

80 (16) 38470561.10211877 7045028801.P30

81 (1,3,9,27) 163.487.15877.P37

82 (2) 33842057.544962817 6194898649.P42

83 (1) 6963362191.P60

84 (4,12,28) 3361.489 4546210513.22320 5976032903 7670187857

85 (1,5,17) 159098 8506392861.P39

86 (2) 173.1033.P66

87 (1,3,29) 5406066031.128456494 1030772067.3472005899 2462423813

88 (8) 208 5729338353.P56

89 (1) 179.3917.18691.11 7953690705 7197599849.P44

90 (2,6,10,18,30) 9901.179516843 4777002101.206502516 4427492401

91 (1,13) L.M

L (7M) 73 2700162559.136262139 6812563889

M (7L) 467280997.172 2545445672 4489912483

92 (4) 1657.19 7202518881.181248 7089636161.P45

93 (1,3,31) 149731.P46

94 (2) 95881.4574857237.P64

95 (1,5,19) 571.176515 1799417091.24 4059016047 3742205021.P22

96 (32) 2113.9917569.596878081.1 6356157057.59621 5044213923 0211450049

7+ Prime Factors 122

97 (1) 599599487.14653 3138940077.P59

98 (2,14) 16073.193366 5951863017.1014805164 7066664017.P33

99 (1,3,9,11,33) 8095532743.24 4188888967.P30

100 (4,20) 401.P66

101 (1) 230281.3843253.P73

102 (2,6,34) 2857.85647973.P43

103 (1) 1031.490201721.105 8638292629.46178 5968654529.

.418 7577353589 1952971477.P26 103

104 (8) 177129884 6189942308 1645348353.P53

105 (1,3,5,15) L.M

L (7M,21M,35L) 4 5079889454 2150330401

M (7L,21L,35M) 211.33864086 5331157691

106 (2) 15053.7627549.P77

107 (1) 1499.8 2413922847.P76

108 (4,12,36) 40177.609 2288058456 7163834041.P34

109 (1) 5233.1005941476 1347582747.P69

110 (2,10,22) 2861.32561.543841.4704503 7529563701.P38

111 (1,3,37) 1 5015834247.2544 3079695091.1255809 0335903767.P22

112 (16) P82

113 (1) 1583.8654522423.1202497 4285713817 5784797627.

.48427230 7488632012 1848080733.P28 113

114 (2,6,38) 229.P59

115 (1,5,23) 1207501.100429501.P61

116 (4) 14153.769756513.335 1028023848 4636857761.51920 3385371049 9967501529.P35

117 (1,3,9,13,39) 1171.1174681.507 5833207537.88235 1727670323.P25

118 (2) 149153.165437.1024477.65519 1245678704 7841933817.P57

119 (1,17) L.M

L (7M) 953.377231.20123377.19102 0707544855 7917128553

M (7L) 239.2381.973897.P30

120 (8,24,40) 241.578964415 5060072001.P33

121 (1,11) 26863.2174 3102262123 6610746926 6007290639.P56

122 (2) 4497653.133440673.369232401 8984648353 8270104703 9367301441.P49

123 (1,3,41) 395617447.P60

124 (4) 4217.254 1312025433.2323 5518871793.P73

125 (1,5,25) 751.1173001.483357 4921448501.3181886 3467130251.P44

126 (2,6,14,18,42) 1009.250993.2304793.3 1864919689.P36

127 (1) 35852863.P99

128 2*.257.769.197231873.685 6531741041 7922390549 8034221725 8517995521.P52

129 (1,3,43) 43*.185 7499496101.4997116 2008121459 8029911373.P31

130 (2,10,26) 134358901.P74

131 (1) 263.86461.1686923681.P94

132 (4,12,44) 1321.532489.9 8138029441.P48

133 (1,19) L.M

L (7L) 25 4997629797.26 5043186297.1939 3537709701 8854700131

M (7M) 8513.P42

134 (2) 269.3217.4591913.3914 4122221793.2798221 8262152281.P69

135 (1,3,5,9,15,27,45) 40724371.1 7796529171.P43

136 (8) 17*.538 8077170097.4985 3897949169.P81

137 (1) 28771.893081081.744 8353120289.P89

138 (2,6,46) 829.21529.26497.5755716973.15394346 4633957793.P36

139 (1) 557.53 1244264896 6139012589.190705 2795989486 6927466028 8301207361.P57

140 (4,20,28) P82

141 (1,3,47) 7333.P74

142 (2) 569.853.29537.810253.401 0964751454 5875958117.P80

143 (1,11,13) 108109.145861.254 7984152429.3638 3445305923.P66

144 (16,48) P82

145 (1,5,29) 227327521.P87

146 (2) 293.20149.36793.729810 1331103950 3542908942 7259624129.P75

147 (1,3,7L,7M,21L,21M) L.M

L (49L) 10157701.10738939.28 6831806106 2142721089

M (49M) P36

123 Prime Factors 7+

148 (4) P122

149 (1) 10133.473384 3335518992 9279110650 9318378061 1982900857 3928501623.P66

150 (2,6,10,30,50) 5666701.169293601.11 4901612156 2093219301.P32

151 (1) 1014952541.P118

152 (8) 12161.34961.72353.P109

153 (1,3,9,17,51) 56611.734707.46 9022340889.903533 0762005111.P43

154 (2,14,22) 617.5302529.418104390 6823655873.

.152 1118015160 2538157383 4946322977.P42 154

155 (1,5,31) 5581.60761.6689491.13 6823162401.9210 5555489371.

.181 2752536038 9024220391.P39 155

156 (4,12,52) 8737.45553.P73

157 (1) 57149.538511.306598 3647843013.605321 0945000213.

.1 2961203482 5570933359 5477995627.P60 157

158 (2) 1305 9374383501.2491117112 1703051981.401574 7332986719 0572836333.P74

159 (1,3,53) 3050 3351762929 0547304139.3 4759132886 5396787188 3271299609.P34

160 (32) 641.16 3344191041.4821 9997541973 4768308979 9168482241.P61

161 (1,23) L.M

L (7M) 49613117.888 4810040009.P35

M (7L) 1289.P54

162 (2,6,18,54) 33049.52813.611547 7804490161.P67

163 (1) 9964087097 8732398443.

.507398 4584534267 0427013661 9231255813 9347152929.P72 163

164 (4) 141 3751696962 0118334988 5463641977.P104

165 (1,3,5,11,15,33,55) 95 1113761291.8372 3745489451.53955559 3782065191.P24

166 (2) P139

167 (1) 84609883.1884 0106986299.81941 7374559877.P105

168 (8,24,56) 121633.33422408 1623006401.86367940 7002639328 8992369697.P31

169 (1,13) 46307.39 8991772205 1674174046 9143831233.P96

170 (2,10,34) 1021.1542556 0249042501.260723 6300640632 5854739861.P64

171 (1,3,9,19,57) 2053.6841.538309.7456088718 6814269973.

.38056 5834792492 5639235001.P34 171

172 (4) 9127292833.124040028 7144237937.

.38475 6252551799 6531573551 7016653505 5814550369.P70 172

173 (1) 347.2423.50344039.471539527.

.153070037 7009333310 5452424847 6494792173.P85 173

174 (2,6,58) 349.77 2165900509 6498314365 2251131561.P61

175 (1,5,25) L.M

L (7L,35M) 3851.823020 3760252601.P32

M (7M,35L) P51

176 (16) P136

177 (1,3,59) 82483.30308419.146 3159201029.P74

178 (2) 2137.

.6670 0010357673 7865695425 5161929184 7013479789 2216047551 6532776621.P82 178

179 (1) 359.522 7541273369.19149993 0339009469.4 8453735760 6024275557.

.977 7636082065 4218154951.198187170 1298221568 8309021529.P46 179

180 (4,12,20,36,60) 932 7367076771 9119849201.P59

181 (1) 1087.3259.869887.412935 6940119811 4715784283.

.22211559 4362913033 8596066169 3508426494 9119264129.P67 181

182 (2,14,26) 420875346 5884607397 7269223331 2460282461 8429719033.P74

183 (1,3,61) 2230877041 0847159047.P83

184 (8) 184369.6291093953.29361 5126959601.49618894 6160469379 8857328257.P92

185 (1,5,37) 325852711.637 2676038916 2081551547 2232790301.

.1803 3806350851 8749446118 9037326621.P48 185

186 (2,6,62) 1861.40 5148344889.6051594973 5938678857.P67

187 (1,11,17) 1871.71 1999347746 2624445303.P111

188 (4) 326369.65 0909936062 4815713074 1465698670 9933264881.P109

189 (1,3,9,27) L.M

L (7L,21L,63L) 379.7573655553 6290042899.1504 9784703636 3835206199

M (7M,21M,63M) 198829.415801.3 0584009107.17070 7897490761 0627202377

190 (2,10,38) 2617061.110943661.2250656021.305058 9519086201.

.450652865 6168242113 9793282921.P54 190

7+ Prime Factors 124

191 (1) 1896349613.

.31965885 2391723241 7849299673 6290000958 5810339428 9538391354 4482645687.P84 191

192 (64) 1153.55681.12644353.247 4441815297.30 2067748117 7462138881.P60

193 (1) 7542501761.6433 5170279671.

.5023922419 5300755548 8084968046 2185748909.P99 193

194 (2) 79153.1169 5740049349.1017617124 2602808749 3813409017.

.5682 6129841614 9598435231 1495269241.P82 194

195 (1,3,5,13,15,39,65) 1232401.118177021.P67

196 (4,28) 68993.500977.P132

197 (1) 7246911739.P156

198 (2,6,18,22,66) 397.257401.2468 3040079772 5347589009.P71

199 (1) 4588543.34266607.P154

200 (8,40) 210127601.1 4462056001.28 3231036001.P106

201 (1,3,67) 147530243 0815774454 5934719712 5881276705 7737919471.P64

202 (2) 11717.32844797.P158

203 (1,29) L.M

L (7L) P72

M (7M) 699539.10931551.252777631.64091 5395596561.P35

204 (4,12,68) 285 2622546217.147 3645026105 6323705201.P74

205 (1,5,41) 821.98243 5845672451.P118

206 (2) 3709.51913.115361.38774969.122087137.2870225 5943293301.

.2464385188 0680753997.852606 6301619433 4109048149.P82 206

207 (1,3,9,23,69) 1200187.5394493693.433 6309590183 2281006261.

.46987 9485414283 7796269553 5792142217.P39 207

208 (16) 41237249.90554 7932264861 0716662295 6514323012 9859275489.P110

209 (1,11,19) 2927.326589253.2953667228 2515800293 3975672683 8729574091.P101

210 (2,6,10,14,30,42,70) 5981641.147388921.P67

211 (1) 255571219.98 6018415638 3311448977 0514915288 7163110839.

.17 8269857175 9822944425 4645216702 1551428348 1531471069.P76 211

212 (4) 29930161.P169

213 (1,3,71) 235877 9222910769.516341 2518685933.

.1886450423 0223558152 4839242888 1107832527.P49 213

214 (2) 5606801.1 3864445393.417 0493266061.14 8187590480 6628374748 91\

19615169 6943458464 6981046417 2455909514 3058921833.P79 214

215 (1,5,43) 431.41281.467493 2375366381.134704 5761879006 0895951151.

.4 0183448134 4594961277 2315841754 9037223081.P54 215

216 (8,24,72) 433.2161.19009.455761.

.19350 9085665339 6800745714 2944149719 8565924689.P62 216

217 (1,31) L.M

L (7L) 25638551.1 0471226501.38800 5396976933 5736807493.P35

M (7M) 1048 0841516050 2632387305 6941440759.P43

218 (2) 133417.168 9506462393.118363 4452833113.1590261 9513553141.

.1985 5887779351 3066390969.1 8544131471 4501678421 9270865881.

.3316547850 3976935571 3142783809 7992150273.P41 218

219 (1,3,73) 32902132 0690441177.P105

220 (4,20,44) 3153774361.701 8271947721.6658259 4292663681.

.343476 6411252607 4866442921.P71 220

221 (1,13,17) 443.1327.65312573.58 8631616197.P137

222 (2,6,74) 2 8063132333.11 0960237137.1 2940510250 3301790657.P81

223 (1) 20071.210020 0817283711 6628719995 3172049233.

.14552020 3916168677 5186178737 6003405019.P111 223

224 (32) 45697.2425 4137798953 9926027690 8118509697.

.344893 1831643258 1179073109 8404717953.P89 224

225 (1,3,5,9,15,25,45,75) 1801.1 4284501640 8087602151.

.10 8380373949 3312667701.P57 225

226 (2) 1702570097.2678 1633737114 9325755860 8239592337.P147

227 (1) 229035283.1 5428276613 3562846357.7097112685 2832734133 6958053319.P133

228 (4,12,76) P122

229 (1) 133018 2977355944 9929333573.1786 0979072607 6805029903 0591589751.

.5560213957 9044011469 7635816402 0003882623.P95 229

125 Prime Factors 7+

230 (2,10,46) 461.48203401.1853224081.911 8947413041.

.996024 4286537218 7579118690 5187314201.P81 230

231 (1,3,11,33) L.M

L (7M,21M,77L) 8317.20 7734163253.950 8049868703.713 0111558960 7904751983

M (7L,21L,77M) 6007.13399.4612609.P36

232 (8) 2101854113.2138683649. C171 232

233 (1) 179411.9017101.54708 0693592457 5460678135 7934918261. C150 233

234 (2,6,18,26,78) 4450692 1779209319 4807364989.P96

235 (1,5,47) 77081.10943951.2 9636358649 0380272055 1341744191.

.35260 4428354708 2417510281 2140885978 1402124439 2943907181.P59 235

236 (4) 14 3400661121.1754368 6562323601.1 8738140271 6244523401.

.72365 3092031567 9618046630 2654219233.

.8 2089739240 2727154889 9375927660 8085471204 8479741649.P63 236

237 (1,3,79) 1423.4094413.903599666 1756966718 5245947327.P94

238 (2,14,34) 234193.4734058001.1 1045393517 7797989849.

.10 9475140211 8730431271 4127746617.P97 238

239 (1) 3347.55927.123803.70 8841389407. C176 239

240 (16,48,80) 8442444961.P99

241 (1) 148457.90728789.18573 3701631563.62029 9344228439.

.730164 6764233669.66724522 0429235891.1875 5338082405 8857638969.P104 241

242 (2,22) 13553.9458403989.5337 1710278267 9769299809.P149

243 (1,3,9,27,81) 104491.25 4984917951.13456 4057912629.P107

244 (4) 977.2441.142472754 8622109609.P179

245 (1,5,7L,7M,35L,35M) L.M

L (49M) 491.12251.20632921.P57

M (49L) 64812 8907712931.111936385 4540811803 5815864041.P29

246 (2,6,82) 996301.1159758 6727284889.P114

247 (1,13,19) 666901.1037401.P171

248 (8) 1489.108203 3636452177.5257348 7646763317 1387358753.P158

249 (1,3,83) 499.51601292 7768747007.P119

250 (2,10,50) 5*.685001.8140001.611302001.31 6932341330 4763812001.

.7934739 0994238721 0453388175 7670922026 2296539001.P79 250

251 (1) 247847 1208462211.25046 8020576939 9125418017.

.7398843004 3603822261 9977856317 6650882609.P132 251

252 (4,12,28,36,84) 894097.5807636353.49706 7486989473.

.12429 5231291032 2705348673.4788176005 5038133776 9298251569.P38 252

253 (1,11,23) 23*.69829.4603589.5380969463. C164 253

254 (2) 509.3049.15241.23128733.23285897 3932476553. C178 254

255 (1,3,5,15,17,51,85) 1 3791727021.778473285 3992382340 2265321321.P70

256 2*.28667393.12657515 5274810369.P192

257 (1) 1065004403.1967820731.6524149573. C189 257

258 (2,6,86) 14449.4084141.384439093.P123

259 (1,37) L.M

L (7L) 269879.70067387 4966146024 3159141097 5206848853.P49

M (7M) 4022839801.20 5725587924 1720282007.4656646 1756672785 1156624881.P34

260 (4,20,52) 521.173951706 5396641961.2 4446589169 3615564961.P121

261 (1,3,9,29,87) 8353.1011 7999187011.150939 3314341402 6146604003.

.81556140 6546921350 7617261089.P72 261

262 (2) 4765781.2168567189.1755 3405361133.2213 5549699993.

.1356071527 3664385557.P158 262

263 (1) 1579.5261.9008 4871694329.225526 8308883432 1065574849.P176

264 (8,24,88) P136

265 (1,5,53) 11131.33391.402222 4611747491.1429 4983407346 8649387631.

.26 0263873617 8996538424 3989827429 4825872064 0975024863 2489022411.P68 265

266 (2,14,38) 13171 5756748633.98960749 5394725755 0569260433.

.9 1035176728 4440514076 5408864689.

.5323 7225364480 0410687056 3442677996 9455366569.P66 266

267 (1,3,89) 495134413.P141

268 (4) C224 268

269 (1) 2846 2616511596 9876013103.P203

7+ Prime Factors 126

270 (2,6,10,18,30,54,90) 68347801.15 4625887441.229 5769290481.

.14900972 4864611641.68567 7092775400 2254092907 8685056741.P39 270

271 (1) 4337.275566351.2427 2271317137.1857825828 2539321529.P184

272 (16) 5441.125 0607550020 8373617397 1814320289. C181 272

273 (1,3,13,39) L.M

L (7M,21M,91L) 674857.1621621.P50

M (7L,21L,91M) 547.539795803.17495863 3832822113.P32

274 (2) 4933.1343 3296255033.171346 2282295979 4367054364 5694319949. C178 274

275 (1,5,11,25,55) 3301.39004 2354509501.P151

276 (4,12,92) 5 3012226970 1621893033.5068394 4663551834 5031337833 5551130897.P92

277 (1) 1663.81439.3045893.588286507.7 6443543191.30 5666773213.

.356 6648462750 4843161821.C165 277

278 (2) 2434989769.27 0980007941.103 1122057426 4857306049.P191

279 (1,3,9,31,93) 1117.161263.2458549.201 5984789029.

.371810 2727330702 3448030259.2 1997634133 1247059425 1721560681 3138917763.P60 279

280 (8,40,56) 96919 2441217471 9842472801.P138

281 (1) 6631039.22239047 8869221113 8810970987 9782334859. C193 281

282 (2,6,94) 1129.86857.2 3146232881.

.8507408135 9288229829 7380981295 4510818773.P98 282

283 (1) 106984669 7769288119.P221

284 (4) 23857.148249.1267394873.19044256 3479129737. C201 284

285 (1,3,5,15,19,57,95) 64347598 5978004141.1887839177 9788346404 2250083871.P75

286 (2,22,26) 148171453.86 3977699157.680 7721713029 6938424634 6369013813.C150 286

287 (1,41) L.M

L (7M) 175804721.80 0540335269 9006217853.9 4340654482 1048147915 5118150417.P40

M (7L) 1723.1 3903914179.146 3273844607.2 6660420873 2109666783.P56

288 (32,96) 577.8653351 6346363137.P143

289 (1,17) 185539.2652 2925276815 7343110127.925112 9753116108 7879268599. C176 289

290 (2,10,58) 1741.4 7137463621.15699 8159690501.

.417 6868028900 9548614979 1834048621.P129 290

291 (1,3,97) 4197967.488346 2672030653.63504507 1326386682 6214495081.P113

292 (4) 27160673.61810861 9682692469 6146082929.

.9873 8491144990 2681169993 1887107121.P175 292

293 (1) 395065379.90 9023483729 2954970767.2271442910 5157362361 7426972653.C187 293

294 (2,6,14,42,98) 15289.7846427233.

.26 2237634391 5263039092 7572005281 8034806073.P87 294

295 (1,5,59) 84961.14329331.94424191.7 5144050200 1723166551.P156

296 (8) 593.1777.15731809.27416 6594399233.3966323 1999279652 7936468929. C190 296

297 (1,3,9,11,27,33,99) 4159.1 4357519353.70 7165317783.

.4098 0399801090 3979377841.P103 297

298 (2) 362 9083394474 0436954817.P228

299 (1,13,23) 599.1410683.74647 2099748883.2529103211 1194818151.

.7 1006377127 1377255503 9933861459.

.26646467 3253536292 7415200543 2430189091.P112 299

300 (4,12,20,60,100) 601.100801.31 8918888092 3487431401.

.61852 1102667293 8293418851 8364722401.P72 300

301 (1,43) L.M

L (7M) 3011.550 4069054303.P90

M (7L) 171571.P102

-------------------------------------------------------------------------------

315 (1,3,5,9,15,45) L.M

L (7M,21M,35L,63M,105L) 2521.16381.934291.P48

M (7L,21L,35M,63L,105M) 631.11 8974628711.P47

329 (1,47) L.M

L (7L) 92779.P113

M (7M) 659.171 4104805001.P102

343 (1,7L,7M,49L,49M) L.M

L 2722731943.56892 7133840129.14106743 6349500417.

.203 1319338230 8673633557.P61 343L

M 32442313.107241868 4480081280 3083930897.P89

127 Prime Factors 7+

357 (1,3,17,51) L.M

L (7M,21M,119L) 772585843.2202998449.P64

M (7L,21L,119M) 675640 9737221257.1 4856627310 3699417804 9477733239.P35

371 (1,53) L.M

L (7L) 1820869.228185777.

.12896 0665942917 4996411620 3590793058 5285570525 4274280257.P64 371L

M (7M) 743.999266838 0070251984 2062978563 8217716921.

.44358 6732305828 4391578075 6998695396 3560622061.P45 371M

385 (1,5,11,55) L.M

L (7L,35M,77M) 331871.P96

M (7M,35L,77L) 1466073841.125 8096891591.P81

399 (1,3,19,57) L.M

L (7L,21L,133L) 9868867.16707864 7597156313 1721697851.P57

M (7M,21M,133M) 1597.42940 6297507783.640089440 5599247082 1992391547.P45

413 (1,59) L.M

L (7L) 827.3103 6077322741.

.40991 5991384227 9603345990 1850750268 6594228493 6776208113 3062231001.P67 413L

M (7M) 4957.8 3426014043.6444292 2154738163.2 6290991348 2545708331.

.175282 7730191617 3559051083.P70 413M

427 (1,61) L.M

L (7M) 334 4317139297.14559964 1870136959.36463471 2836108861 9014438417.P95

M (7L) 1709.835213.805 2785365241.309 4396495614 3466601798 0378843611.P99

441 (1,3,7L,7M,9,21L,21M,63L,63M) L.M

L (49L,147L) 7057.2658349.394387183.1 8506674369.

.210 8144903950 5868111974 4912719151.P46 441L

M (49M,147M) 28473607.1415 4038259733.11575951 4862686269.

.100191451 4798811391.111 5085462610 1679939871.P29 441M

455 (1,5,13,65) L.M

L (7L,35M,91M) 39368 2027461815 7565147799 6103158141.P87

M (7M,35L,91L) 21841.2041681136 4869616971.P99

469 (1,67) L.M

L (7M) 3 7452491379 3607757589 4219292545 7071108912 8544808522 9305573219.P107

M (7L) 1877.581 1328935669 9002427121.

.40809029 4146032352 7696322770 8687836291.P105 469M

483 (1,3,23,69) L.M

L (7M,21M,161L) 1933.51199.215 2701447163.3312789 2504734987.

.828167 9985079535 1486361063.P50 483L

M (7L,21L,161M) 967.612139711.3 1612243058 9196488923.

.377 2836794848 5501911947.1293 4388310803 7584587651.P34 483M

497 (1,71) L.M

L (7M) 7273 5455323542 8733469289.161406142 2810249914 3832286457.P125

M (7L) 295219.9182573.2425569 6294888183 4246849409.P140

511 (1,73) L.M

L (7M) 6133.9199.61678723. C167 511L

M (7L) P184

525 (1,3,5,15,25,75) L.M

L (7L,21L,35M,105M,175L) 17851.298 2139333951.128 6651076438 2766303751.

.32586242 2411567256 0243320051.P36 525L

M (7M,21M,35L,105L,175M) 1051.519071701.8 2189065001.11164 9516421101.

.2653200 5724410644 3142346301.P39 525M

539 (1,7L,7M,11,77L,77M) L.M

L (49M) 52109 6004795829.7 9383591513 9705265367. C142 539L

M (49L) 440903.P172

553 (1,79) L.M

L (7M) 3319.19336199.379794871.7202155 7595389137. C162 553L

M (7L) 56027650 8936447227.662 4037351796 2417335857.P158

567 (1,3,9,27,81) L.M

L (7L,21L,63L,189L) 1150005277.7657984783.188 9398413773 2812609271.P96

M (7M,21M,63M,189M) 7455355 3407147697.550 3653553178 6018683083 4043508553.P88

7+ Prime Factors 128

581 (1,83) L.M

L (7L) 1163.P206

M (7M) 10459.156909509.199728047.1859414971.P178

595 (1,5,17,85) L.M

L (7L,35M,119M) 210631.31 7922574058 6661416281.P135

M (7M,35L,119L) 929148 4250876801.7 7534190178 7730204901.

.124485 9444058198 1295316991.315554 1349401272 9293961731.P76 595M

77h + 1 = (7h + 1)L:M; L = T 3 􀀀 B; M = T 3 + B; T = 7h + 1; B = 7k(T 2 􀀀 7h); h = 2k 􀀀 1:

10􀀀

Factorizations of 10n 􀀀 1; n odd, n < 330

n Prime Factors

1 3.3

3 (1) 3*.37

5 (1) 41.271

7 (1) 239.4649

9 (1,3) 3*.333667

11 (1) 21649.513239

13 (1) 53.79.265371653

15 (1,3,5) 31.2906161

17 (1) 2071723.5363222357

19 (1) 111111111 1111111111

21 (1,3,7) 43.1933.10838689

23 (1) 111 1111111111 1111111111

25 (1,5) 21401.25601.18 2521213001

27 (1,3,9) 3*.757.44033 4654777631

29 (1) 3191.16763.43037.62003.7 7843839397

31 (1) 2791.6943319.5733641506 3790604359

33 (1,3,11) 67.134462821 0313298373

35 (1,5,7) 71.123551.10259880 0232111471

37 (1) 2028119.247629013.22 1239429677 0203368013

39 (1,3,13) 9009 0090090099 0990990991

41 (1) 83.1231.538987.2017637099 0032280374 8657942361

43 (1) 173.1527791.196350 6722254397.214099201 5395526641

45 (1,3,5,9,15) 238681.418550283 0133110721

47 (1) 35121409.316362908 7634585250 0140615403 8726382279

49 (1,7) 505885997.1976 7301445981 9096356802 3014679333

51 (1,3,17) 613.210631.52986961.1316816 4561429877

53 (1) 107.1659431.132581526 7337711173.471988 5879949142 5660200071

55 (1,5,11) 1321.62921.83251631.13006 3569267805 8358830121

57 (1,3,19) 21319.10749631.39311 2302230512 9377976519

59 (1) 255 9647034361.434087 6285657460 2121445342 8992855982 6755746751

61 (1) 733.4637.329401.974293.1360682471.10600 7173861643.706170999 0156159479

63 (1,3,7,9,21) 10837.23311.45613.45121231.192143 6048294281

65 (1,5,13) 16 2503518711.5538396 9973640240 5628651064 0780600481

67 (1) 493121.7986359577 8924342083.2 8213380943 1766670012 6315366099 9177245677

69 (1,3,23) 277.20386 4078068831.15953520 8632922464 4348978893

71 (1) 2415731423 9362767357 6957439049.P41

73 (1) 1 2171337159.185519384 2151350117.P44

75 (1,3,5,15,25) 151.4201.P35

77 (1,7,11) 5237.42043.29920507.P45

79 (1) 317.6163.10271.307627.4917219553 6083790769.P43

81 (1,3,9,27) 3*.163.9397.2462401.67642 1558270641.P27

83 (1) 336 7147378267.95125385 0862415437 3682136329.P42

85 (1,5,17) 262533041.811 9594779271.P43

87 (1,3,29) 4003.72559.P48

89 (1) 497867.103733951.10 4984505733.50785 5496602631 5671444089.P39

91 (1,7,13) 547.14197.17837.4262077.4 3442141653.31687736 5766624209.P27

93 (1,3,31) P60

95 (1,5,19) 191.59281.63841.12899812 3195084954 3985493631.P33

97 (1) 12004721.846035 7313969192 3376721153 7899097169.P54

99 (1,3,9,11,33) 199.397.34849.P51

101 (1) 45315301 8181661323 4555190841.129 0632822328 4896195198 5354966759.P41

129

10􀀀 Prime Factors 130

103 (1) 1031.7034077.P93

105 (1,3,5,7,15,21,35) 3 0703738801.62 5437743071.P26

107 (1) 643.999809.9885089.215257037.2386760191.51139953 8427507881.

.64682695 0155548399.P38 107

109 (1) 1192679.7 1276748097 1213008079.52 9527534876 7234696493.P60

111 (1,3,37) 37*.3055705 1518647307.88459 8117086562 9119271997.P29

113 (1) 227.90 8191467191.P98

115 (1,5,23) 31511.1 9707665921.2041413 7203567631.

.57999515 1394138214 4830754391.P30 115

117 (1,3,9,13,39) 24039 6841140769.53794 7698126879.335282 5314499987.P28

119 (1,7,17) 923441.392 4966376871.7687365594 2140124904 2753476963.P48

121 (1,11) 15973.38237.274187.P96

123 (1,3,41) 1811791.62 6920594693.942585697 6319889649.P43

125 (1,5,25) 751.1797655751.17614 4543406001.P74

127 (1) 18797.90679.P117

129 (1,3,43) 21 0769832431.4074 2973276750 5248479163.P50

131 (1) 80173.109517.141811693.446790173.737 0364319027.1559484553 8029429933.

.73 1772397003 1057677693.1317 5835106511 6151205213.P27 131

133 (1,7,19) 1597.202101 5460335957.P90

135 (1,3,5,9,15,27,45) 1577071.16357951.310362841.25 8360989311.P39

137 (1) 2467.2535528323.10298 7975692876 2117455431.

.1401758 9416299060 9843314797.P74 137

139 (1) 11912 4859925363.P124

141 (1,3,47) 283.72103049 8171501831.P72

143 (1,11,13) 2823679.180523201.47 4286764445 9170572792 9369346443.P74

145 (1,5,29) 9605671.1558928097 4996818911.

.80684370 0012696988 5399615167 0133742711.P48 145

147 (1,3,7,21,49) 63799.4715467.26765 2966241599.260394188 3787374089.P40

149 (1) 12517.53559 6779200919.P130

151 (1) 907.429360649.298779 8148080601 7715604631.

.286565 5283757454 6515657117 3601919711 4021191078 8651135283.P58 151

153 (1,3,9,17,51) 307.18973.11910133.2533 2185271529.4133154 1464123787.P53

155 (1,5,31) 311.929 4566806081.P105

157 (1) 301670477.518028 2664612031.11 4279998928 2187639700 4936937893.P101

159 (1,3,53) 351391.385 2774594841.1 8532824738 4490197483.P66

161 (1,7,23) 6763.472341157.1127317077 1131750391.

.16267774 0316165679 7092007877.P74 161

163 (1) 57640 6666853727 0911379761.

.403 9257228337 7837810730 4989280994 1028503148 5506861595 9021587563.P75 163

165 (1,3,5,11,15,33,55) 471241.138 2677701279 1645762903 4873443951.P43

167 (1) 18843947.10681108 3848465643.

.3 7576897811 1191674634 3696241048 3708090653.P102 167

169 (1,13) 11831.270924655 0432452192 3074381401 5389873000 2165574677.P104

171 (1,3,9,19,57) 2291 6207114001 5324614111.

.1104 2493493629 9518114466 8003642191.P52 171

173 (1) 347.2152816 9344472027.

.4619461 8816084982 1006792343 1297423634 5786346173.P107 173

175 (1,5,7,25,35) 185 2584391849 0695886751.9914742 7166298695 7800680951.P71

177 (1,3,59) 3187.23219 9557797964 9051433901 2184273961 9033812919.P69

179 (1) 359.36558961.420 1521652717.35254 3640588653.P141

181 (1) 12671.28865519.995130761.1 6814655289.41 4479952329.P138

183 (1,3,61) 2520277.

.263 8485692280 9741239246 2812408889 8099456790 2544116187.P62 183

185 (1,5,37) 65112 3004118656 0022095681.19365701 1482706992 3550119591.

.6 3441573295 9066072537 8321124654 4893041361.P52 185

187 (1,11,17) 143899867.19886 4241823708 7587023918 4131623563.P118

189 (1,3,7,9,21,27,63) 8780 7512690869 8927928483.

.330306360 3799214720 5820927521.P56 189

191 (1) 4473297929.1121 0302194081 2743353521.P158

131 Prime Factors 10􀀀

193 (1) 773.39373.561470969.63970 1219449517.42 7441755607 6113498947.

.26 4095401119 5271748790 8689681403.

.4477 9828713128 4928051408 3049652657 8289217495 3181087929.P55 193

195 (1,3,5,13,15,39,65) 1951.3 5081393881.36092 4572424391.P68

197 (1) 52009.790 4047980561 5687465683.

.3599 4749614830 5331087860 5135585111 3744691380 7822602323 3589649293.P105 197

199 (1) 797.29453.2253079.P185

201 (1,3,67) 1609.204616673 9518832881.

.18 4976479633 0929311033 1303783550 4355363361.P70 201

203 (1,7,29) 1 8620680471.6861680517 3400502243.2 2307232764 8229020879.P118

205 (1,5,41) 41*.275521.2 1158848681.P143

207 (1,3,9,23,69) 10990 8191603107.

.82379 9348530495 5072690350 1325448928 7846904557.P74 207

209 (1,11,19) 257489.1246477.9269802917.

.42545 6626730958 3174378969 2955596677.P124 209

211 (1) 692 6245573243 8962066278 2322677336 7111381084 8258828173 9734\

375570 5064923919 3184952463 6731866879.P118 211

213 (1,3,71) 853.1594093.1182534679.1 7469229933.P112

215 (1,5,43) 431.

.413982 7593967086 7448911914 3391566803 8134377700 6826487831.P110 215

217 (1,7,31) 3662093.

.515086 5211600887 2412773338 3362897086 6903776508 1397085489.P118 217

219 (1,3,73) 439.2212293763.

.39316 3107836591 0489225215 7287077969 2396197343 2504433459 2964583271.P68 219

221 (1,13,17) 443.16614226 1077623560 5151630089.P163

223 (1) 2677.130975483. C211 223

225 (1,3,5,9,15,25,45,75) 2002877551.263689 9200194401.

.9767198748 5517534751.125899 6598666277 6431326748 2289910001.P41 225

227 (1) 11313 6621886721. C212 227

229 (1) 9161.43544351.90 0699601775 7809392117.P195

231 (1,3,7,11,21,33,77) 2311.22187551.53521 2994471849.

.2349040 6637714896 0506871003.1568131207 9725357923 1191970121.P40 231

233 (1) 467.47533.11 5081654907.8941 2401116867.4298375 7528467293.

.108 5798020044 4401822643.C162 233

235 (1,5,47) 51 8203357921.19089319 5970004711.15 8990864733 9072250321.

.6054 3170602802 9946531059 1995125722 8241478625 0085768871.P80 235

237 (1,3,79) 90758677.1603873 5364864961 6241477827 7997333003.P112

239 (1) 479.142847911. C228 239

241 (1) 12 5997820213. C229 241

243 (1,3,9,27,81) 3*.4113 6178689073 7698932559.P138

245 (1,5,7,35,49) 336737801.2 3609565631.82749 2325162282 5388807721.

.7468914019 9104459031 9931102100 5401674322 3513365511.P75 245

247 (1,13,19) 1483.10 2451616447 9902988921.12 9982352002 6173021751. C171 247

249 (1,3,83) 4483.141314 1919363039.

.7963 1228080621 9385734997 1025394018 0960724841.

.352444538 9714777887 6597964214 6628632135 0017806951.P53 249

251 (1) 52371653.P243

253 (1,11,23) 1013.3037.72932311.26153136 9118211492 7177553117.P179

255 (1,3,5,15,17,51,85) 7796 7508765681.174529554 8142349266 1946457391.

.341944731 1615954697 9818689031.P58 255

257 (1) 1017721.4271961427. C241 257

259 (1,7,37) 2591.64638631.36 6380244998 3927390483.

.689411842 5361025316 9908132923.P155 259

261 (1,3,9,29,87) 523.670249.44974999.9113995243.729 9238406959.

.9 1367341498 9429593806 4503769037.

.13110 8694538423 6014967315 2805139228 8744803439.P54 261

263 (1) C263 263

265 (1,5,53) 116 7211531939 4673616019 4298023751.P176

267 (1,3,89) 9613.54091 3940517169.P158

269 (1) 541830 7589425009.4405281315 4697065841. C233 269

271 (1) 1627.56369. C263 271

10􀀀 Prime Factors 132

273 (1,3,7,13,21,39,91) 1093.32786209.13970 8570703521.

.53319 2408848566 3758835996 8229091231 4165685986 9805374791.P65 273

275 (1,5,11,25,55) 7151.15401.59951.2495 2832648957 7902025320 3931608951.P154

277 (1) 101615 7022810759.102092644 2897395250 8591933833 5107091799. C224 277

279 (1,3,9,31,93) 1898 9357081041.

.19 8655457793 9642346080 4455910659 8738302929 9397551517.P116 279

281 (1) 563.259 7610354323.38043198 8961690791.

.133355295 5243807326 0867484630 5692470329.C210 281

283 (1) 1680936 0945688609. C266 283

285 (1,3,5,15,19,57,95) 184492885 5004465413 9241919401.

.844267 4470943213 2343560179 2968017601.

.219414044 2084408033 4520401913 7889332111.P42 285

287 (1,7,41) 1723.1 3365428707.194185 1180301719. C212 287

289 (1,17) 42773.931957 5345523802 7770502373.P242

291 (1,3,97) 1747.18043.162 5625533641.195 3725183587.101204 7221926483.P145

293 (1) 587.94 7612426323 1731100867. C268 293

295 (1,5,59) 36 6111286951.21516 8431547401.689864925 2938113791.P188

297 (1,3,9,11,27,33,99) 55243.198397.1981560241.3160 0574312077.

.1654 2667044318 6506567467.

.7 9070093075 9469400105 3552000588 6583911009 7409345760 3716419437.P64 297

299 (1,13,23) 599.64677721 5499244129.P244

301 (1,7,43) 82 1856609631.1340 3893556831. C227 301

303 (1,3,101) 2096761.27229 5362253883.P180

305 (1,5,61) 1831.2441.38981441.2 3886931441.25895751 0559998182 1056130911.

.119724826 1297968602 4963821774 7306760831.C150 305

307 (1) 526199.10006668 4713521521.11357792 0094721461 9088200338 3320587841.P247

309 (1,3,103) 16779806 6344417387.34 6294823049 1376473027. C166 309

311 (1) C311 311

313 (1) 1879.209981 8661161079.P294

315 (1,3,5,7,9,15,21,35,45,63,105) 631.14 2809770881.P131

317 (1) P317

319 (1,11,29) 723493.798763879.2 5815444138 3622125012 1578260242 7193330961.P225

321 (1,3,107) 167805961.P204

323 (1,17,19) 85190812 7328669427. C271 323

325 (1,5,13,25,65) 77351.200201.434719 5468174001.2 8067287414 9406424401.C194 325

327 (1,3,109) 1147117.1 3675561831.465 5363047742 0371690681.P178

329 (1,7,47) 19 6408988166 9809395643. C255 329

10+

Factorizations of 10n + 1; n _ 330

L,M for n = 20k 􀀀 10 _ 650

n Prime Factors

1 11

2 101

3 (1) 7.13

4 73.137

5 (1) 9091

6 (2) 9901

7 (1) 909091

8 17.5882353

9 (1,3) 19.52579

10 (2) L.M

L 3541

M 27961

11 (1) 11*.23.4093.8779

12 (4) 99990001

13 (1) 859.1058313049

14 (2) 29.281.121499449

15 (1,3,5) 211.241.2161

16 353.449.641.1409.69857

17 (1) 103.4013.2 1993833369

18 (2,6) 99 9999000001

19 (1) 90909090 9090909091

20 (4) 1676321.5964848081

21 (1,3,7) 7*.127.2689.459691

22 (2) 89.1052788969.1056689261

23 (1) 47.139.2531.54979 7184491917

24 (8) 999999 9900000001

25 (1,5) 251.5051.7887 5943472201

26 (2) 521.19 0038197677 7332243781

27 (1,3,9) 70541929.1 4175966169

28 (4) 7841.1 2752200102 0150503761

29 (1) 59.1540832 0493066255 7781201849

30 (2,6) L.M

L (10L) 61.4188901

M (10M) 39526741

31 (1) 9090909090 9090909090 9090909091

32 19841.976193.6187457.83442 7406578561

33 (1,3,11) 599144041.18 3411838171

34 (2) 28559389.1491383821.232455 7465671829

35 (1,5,7) 4147571.26521279 3249617641

36 (4,12) 3169.98641.319904 4596370769

37 (1) 7253.42265 0073734453.29655734 7313446299

38 (2) 72281703 6322379041.136977818 7490592461

39 (1,3,13) 13*.157.6397.216451.38 8847808493

40 (8) 5070721.197210 6116664671 7498359681

41 (1) 267050278 1396266997.34 0419382980 6058997303

42 (2,6,14) 226549.445819222 3320340849

43 (1) 57009401.2182600451.73061 1655657181 7748755241

44 (4) 617.16205834 8460129675 8492708265 6402106953

45 (1,3,5,9,15) 29611.3762091.898 5695684401

133

10+ Prime Factors 134

46 (2) 1289.1837 1524594609.41810033 0007166986 7932658901

47 (1) 6299.485506 7598095567.2972627 0500913900 6771611927

48 (16) 97.206209.6 6554101249.7511 8313082913

49 (1,7) 197.5076141624 3655329949 1878172639 5939035533

50 (2,10L,10M) L.M

L 7019801.1410 3673319201

M 60101.168058 8011350901

51 (1,3,17) 29 1078844423.3 7752695530 9799110357

52 (4) 1580801.63 2527440202 1507450906 2241224544 3923049201

53 (1) 90 9090909090 9090909090 9090909090 9090909090 9090909091

54 (2,6,18) 109.153469.597795771 5633453386 6654838281

55 (1,5,11) 331.5171.2 0163494891.3187 2784116567 4579776721

56 (8) 113.7376575589 6403138401.1199683 6914484637 0226083377

57 (1,3,19) 1458973.7532018062 7132846254 7977919407

58 (2) 349.38861.618049.1181 1806375201 8364086796 3573625866 9583187541

59 (1) 1889.10 9080584206 8098677837.4411 9227709960 7410964453 5362851087

60 (4,12,20) 100 0099999998 9998999900 0000010001

61 (1) 81131.112052 2253011683 6855321528 2578904375 7514502359 2596037161

62 (2) 2049349.4831 2854955451 2237305554 5883590398 2239730714 9685578249

63 (1,3,7,9,21) 5274739.1897724226 7323558587 4485732659

64 1265011073.153 4316818888 9137818369.515 2175252652 1326744786 9906815873

65 (1,5,13) 131.839686 2596258693 9016106022 9855716710 0076327481

66 (2,6,22) 5419170769.78939 0798020221.236100 0305507449

67 (1) 909090 9090909090 9090909090 9090909090 9090909090 9090909090 9090909091

68 (4) 152533657.655527 4617188258 3264230070 8688843668 7780323722 2654400793

69 (1,3,23) 31051.14357 4021480139.246494 4534764905 9192745899

70 (2,14) L.M

L (10M) 421.8 4865448387 9497562821

M (10L) 3471301.13489841.6 0368344121

71 (1) 290249.P65

72 (8,24) 8929.P45

73 (1) 293.108266849 6453995983 7294043117.P42

74 (2) 149.3109.111149.70 8840373781.6 6903168666 1427842829.P29

75 (1,3,5,15,25) P41

76 (4) 457.1403417.524080865 6722481737.P45

77 (1,7,11) 463.24179.590437.7444361.453940262 7853030477.P22

78 (2,6,26) 3121.5339 7071018461.P31

79 (1) 1423.9615060929.P65

80 (16) 1634881.18453761.94 7147262401.P39

81 (1,3,9,27) 1459.2458921051.45650238 2570032651.6106 0038608985 8349939139

82 (2) 68389.P76

83 (1) 167.997.3565183.2097307081.774209824 7001476863.P42

84 (4,12,28) 1 1189053009.60381242 9055411913.1 4802942340 0750506553

85 (1,5,17) 87211.787223761.P51

86 (2) 338669.P79

87 (1,3,29) 63 8453709757.13508 0726389891.P31

88 (8) 10100113.P73

89 (1) 179.1214723 7304901893.P70

90 (2,6,18) L.M

L (10L,30L) 11050 9779500299 4798105101

M (10M,30M) 181.49 9943754145 3012143121

91 (1,7,13) 21705503.P65

92 (4) 2393.P85

93 (1,3,31) 373.44641.3590254957.P44

94 (2) 45121.2144906157 5094116844 2491377407 8958939881.P49

95 (1,5,19) 181 2604116731.12145 0506296081.P46

96 (32) 193.769.125322453 5459902849.P41

97 (1) 1025 2736135461 3106010527.323 3384348910 3408917347 5790125293.P41

98 (2,14) P84

99 (1,3,9,11,33) 7093127053.P51

100 (4,20) 401.1201.1601.P72

135 Prime Factors 10+

101 (1) 607.809.1213.1327067281.P83

102 (2,6,34) 409.3061.5969449.134703241.22597 4065503889.P29

103 (1) 1237.44092859.102860539.984385009.61205 3256358933.

.1827 2511486652 1155647161.P37 103

104 (8) 1249.49297.300977.648961.2 4922778781 8677482257.P57

105 (1,3,5,7,15,21,35) 2 9970369241.166137 8260814161.182 7616884682 1336356291

106 (2) 1061.5051749.245391150 2148752495 0268580742 1982149521.P56

107 (1) 1499.28463.74687.392263.795653.P82

108 (4,12,36) 1726 2900089915 0450017746 3302688697.P39

109 (1) 333878 6746233023.14060959 6838642862 6740593300 0927102019.P56

110 (2,22) L.M

L (10M) 661.148721.P32

M (10L) 18041.1121407321.P28

111 (1,3,37) 223.4663.21 6060644986 9150524620 0058094681.P35

112 (16) 673.4 3735845217.217860610 4520311215 9848927995 0204653537.P45

113 (1) 4973.4426889.P102

114 (2,6,38) 229.2281.4789.304077901.5287 5286008709.73965389 3349540289.P23

115 (1,5,23) 691.P86

116 (4) 233.355193.2 1591416633.17468 7398484984 3803932993 5679794457.P60

117 (1,3,9,13,39) 461917.60034573.P59

118 (2) 430148941.P108

119 (1,7,17) 1868879293.56 7332047267 0315859129.P66

120 (8,24,40) 1132716961.2812599 8524843779 0051014401.P29

121 (1,11) 11*.4357.25169.1485397.1025 0298143135 9171598893.P72

122 (2) 1587221.8 1183810541.10 1444162656 0371517458 7855838589 2753596849.P62

123 (1,3,41) 739.148339.16419517.P65

124 (4) 1489.64 0543322297.2790 8132670449.3847 0544418223 0291105649.P68

125 (1,5,25) 21001.162251.1 0893295001.P81

126 (2,6,14,18,42) 1009.4 3266855241.P59

127 (1) 3557.857772733.1094479651.1125629957.6 1689614907 3719728613.

.108 6011081377 7339731289.P53 127

128 257.15361.453377.P116

129 (1,3,43) 30 4768036847 0744910648 9460801469 5867632997.P43

130 (2,26) L.M

L (10L) 103149883 4064949381.P31

M (10M) 2311921.1276385265 2999774041.121 1973050456 7977254081

131 (1) 263.1397382241.30666 2501757259.5257 8637304191 4526306757.

.112 5062836800 9816875262 7601991569.P49 131

132 (4,12,44) 2377.16369.432961.6796152793.2 4387741577.

.1 2619700217 9733470481.P27 132

133 (1,7,19) 2470252 3697730602 5681323889.

.6 1828645758 3221408426 6614451996 2696417487.P41 133

134 (2) 269.4021.260587121.9492722820 8573594069.

.230 2527353565 3574507597 2512226288 0394277261.P56 134

135 (1,3,5,9,15,27,45) 6481.57 7603663291.3102 3833790241.P43

136 (8) 17*.1 3355595217.P117

137 (1) 364393423.11 7651465889.44165 1480271681.67632 1006412903.

.2188012421 3685655668 0173235529.P58 137

138 (2,6,46) 829.1569889.53643053 1035337769.7 5710854312 9939106221.P41

139 (1) 557.2503.P132

140 (4,20,28) 851761.P91

141 (1,3,47) 344887.9127213.11 6080338393 4463712259.P59

142 (2) 569.7669.38062384 9488714809.7 7169265188 3350877868 9508504941.

.93611 3822875139 5032943162 5811490669.P50 142

143 (1,11,13) 51767.2 2144088539.26 4752347289.1 0473010110 7272149081.P74

144 (16,48) 13249.1067329.P86

145 (1,5,29) 1451.30104611.58765601.243 3146345771.1799613 2431060961.P65

146 (2) 5911541.1669 2085818029.577429 4197526381.

.1822027 4280260783 5615596881.P82 146

147 (1,3,7,21,49) 7*.P84

148 (4) 61544617.1644476 5848115921.P120

10+ Prime Factors 136

149 (1) 2087.96 1568303145 0065714899.

.16545960 9176797865 8661343653 2979227063 5207840943.P76 149

150 (2,6,10L,10M,30L,30M) L.M

L (50L) 261301.P35

M (50M) 601.3903901.16 8290119201.2507409103 8628125301

151 (1) 181288487.15 3653579173.1233194262 4071394811.

.264 6756758131 6543973781 9208170174 8003041997.P69 151

152 (8) 134369.3173 5795756961.P126

153 (1,3,9,17,51) 2142001.5364487.832339891.27 6402747619.240 5782797823.P51

154 (2,14,22) 3 9511854229.P110

155 (1,5,31) 11161.392 5963357681.516761 7497664851.P88

156 (4,12,52) 313.1101673.13 5807443337 1719716641.2915 9356304664 6669491593.P43

157 (1) 4397.3641773.P146

158 (2) 5689.507 9985644864 8365577488 0939989709.

.6 4630196291 6453492325 3835672539 9176008361 7720844121.P69 158

159 (1,3,53) 3499.2784091.5413 7839415767.9178 1329887177 0308465539.

.265263 3397623400 9593263527.P31 159

160 (32) P128

161 (1,7,23) 967.1569936761.12 0388188272 7712699967.

.233910282 0641727363 7358380573.7 7750583883 1925059576 2800404689.P40 161

162 (2,6,18,54) 2925721.P102

163 (1) 653.13693.1428689 0032106357.

.6695347 9943839030 9796559919 2075381609 9754871899.P93 163

164 (4) 121553521.366 3759140752 9194237097.P130

165 (1,3,5,11,15,33,55) 4124507971.198356 3668288049 5867311241.P46

166 (2) 2302 3967955265 1607677683 7687352113 6169786061.P121

167 (1) 63716179.1 1601118931 1149998139.2 7282806879 1212993437.

.3015252 9491895043 2087520298 1299415587 1155165682 2567015411.P62 167

168 (8,24,56) 337.2 0702700289 8534176661 6009080161.P64

169 (1,13) 677.987001237.

.15927 3023215567 9902273246 3430995780 0902076297 9379345291.P90 169

170 (2,34) L.M

L (10M) 756 8346838961.2 3761299354 1791006121.P31

M (10L) 26861.P61

171 (1,3,9,19,57) 19*.2053.4410785971.291 1579215499.

.3070108 5207038248 4317401373.P55 171

172 (4) 277641 1517802584 3831007910 9077611969.

.2645778 4099174349 6559236628 2025495569.

.3 8993135849 7911570610 6073835294 4105076217.P56 172

173 (1) 9689.16864733.P161

174 (2,6,58) 997369.1556583 3747318241.1570 0293402312 7338801841.

.4 4773500741 6947075290 5544969081.P36 174

175 (1,5,7,25,35) 3612546001.29 9547376801.P99

176 (16) 11969.4913921.47 0909313601.P138

177 (1,3,59) 6 0247408327.96838502 4074451409.267615788 1043509853.

.3203 0319265323 1426410476 9060847481.P36 177

178 (2) 38449.138841.P167

179 (1) 523661 7053927547 6497283421 1810001059.P143

180 (4,12,20,36,60) 265183201.95853 8076643128 2739979437 1014650641.P53

181 (1) 13757.146743987 4822650361.5781 3769227978 6653041094 0379929\

163 6496876923 8831916358 2427812729 9864929561.P84 181

182 (2,14,26) 65 4721485601.

.3571 6185679963 9329721021 7238290456 6489473443 7795759036 3519828421.P69 182

183 (1,3,61) 367.51745081.4049 8340376691.

.4293674 4040512685 0573089715 2041702807 7990465463.P50 183

184 (8)

120553 0548914055 8854572782 2543281066 1628034590 0384816611 8314367809.P111

185 (1,5,37) 4917392 5574833481.P128

186 (2,6,62) 5209.139716865 1841448640 0826934466 0199946429.P79

187 (1,11,17) 192611.128 4680342573.631520367 3292075607.

.1 2579739949 2676917721.P104 187

137 Prime Factors 10+

188 (4) 70313.79337.485041.118710721.6578404633.

.169 9053275611 6210419855 7246291921.P119 188

189 (1,3,7,9,21,27,63) 379.864267062 5016390971.

.63060936 9443266742 1259199566 2102125143.P49 189

190 (2,38) L.M

L (10M) 7805480186 5774794834 2675331841.P42

M (10L) 761.1901.3041.74861.417332341.P50

191 (1) 383.679961.4041943.955059211.7 8087485383.

.337079 6736173938 0917274223 3052947598 2098304687 3811748108 41794\

78588 4893349397.P80

192 (64) 3457.12289.418725889.338579887 1819730067 2916765168 1190977281.P74

193 (1) 1931.10037.1430131.166376423.P171

194 (2) 389.7 8412655334 2351676061 6281051300 4420610966 5095466034 04\

26874599 9503561001.P119 194

195 (1,3,5,13,15,39,65) 15601.925081.P86

196 (4,28) 5 2781463673.

.5010 6209913407 0752359416 8804430658 3675200036 4979378062 3118456073.P94 196

197 (1) 15761.7187743.3005 6747788739 4052365757.

.2 9811355463 2977426456 1581279152 2446524687.P121 197

198 (2,6,18,22,66) 7 9082656489.15386 0752306863 7497164701.P85

199 (1) 354 5105703277.1076 5760180213.1227 7415800813.

.180 7240741686 0457979629 4647309331.

.31 4293140427 6264910560 0887572415 1058487007.P86 199

200 (8,40) 2 4592788001.347 5700719926 9562336595 6384813495 5052440801.P108

201 (1,3,67) 7237.1 7830074841.85110 9498533797.

.453603002 6734317364 5804799921.P75 201

202 (2) 101*.3679329001.1 9384130081.1279336 0409007449.

.49 0899048874 3183603681.5383539446 7939904164 8881811438 1662511041.

.14 7987024898 5573318252 7092829510 0820916509.P60 202

203 (1,7,29) 19489.243720583.256396335 6465898129.

.135696125 6332040301 7443683179.P109 203

204 (4,12,68) 2857.13266937.111952738 4827710553.

.530430 1176594953 7815976769.P74 204

205 (1,5,41) 4360267 1166733504 4426416921.P134

206 (2) 801341.2928 6597879221.33670 5879274554 4257957516 7786879669.

.9 5000575486 9379886814 3517047713 6054984821.P110 206

207 (1,3,9,23,69) 3 7916801893.14340943 6964525899.

.8317 5967742574 7570837717.117 6806330726 2095213493 0832292859.P49 207

208 (16) 19725473.4 0336502753.75465 1871841089.4919008 6416352961.P143

209 (1,11,19) 419.85691.258743.P168

210 (2,6,14,42) L.M

L (10M,30M,70L) 4 2681134161.42 4451728681.P27

M (10L,30L,70M) 1384194841.P39

211 (1) 27646170 6978570372 5933625413.P183

212 (4) 18233.6 7406298457.148806 7111584049.89931933 7247551841.

.2364139299 7940421257.

.54469 1792390471 1630084568 2623717697 1625777849 9995001408 1337618457.P76 212

213 (1,3,71) 2107849.219776991 0781635249 0639478201.P106

214 (2) 4088 2343106721.P199

215 (1,5,43) 1721.18920 4352840339 1814480965 7490533251.P131

216 (8,24,72) 433.491413179 7692918008 7598537735 5914924161.

.4232900 2505294251 1193717137 5069484185 9239120433.P57 216

217 (1,7,31) 240437.1142669053.31336030 8665807383.5 7921070746 0230341693.P128

218 (2) 20929.143881.4936936941 2784246809.357 0189352707 8181712481.P165

219 (1,3,73) 877.3601237.24 7482272761.5 8302193226 1293956124 6246317093.

.394382 8696311504 4183175873 6959696093 2033847171.P47 219

220 (4,20,44) 881.P158

221 (1,13,17) 34495 4191876997.691797 9239326637.709 1938363041 7672662131.

.201 6492306990 9762824395 0177419609 8215666169.P97 221

222 (2,6,74) 2365371 3304547869.543 3095657439 7147787007 5858731741.

.2228 4572857827 0528838984 3210675909.P62 222

10+ Prime Factors 138

223 (1) 208729.1697477.5156432569. C201 223

224 (32) 417 0676720044 3101602756 7793820801.

.707 2858501176 2434606755 0937755073.P127 224

225 (1,3,5,9,15,25,45,75) 270001.P115

226 (2) 5 2743988481.13230574 3681936841. C197 226

227 (1) 36346333.386190 4074787001.P203

228 (4,12,76) 27817.376102873.3 6120612721.

.13 5912711202 2939831788 6003161009.P90 228

229 (1) 23170 9160452200 4723965449.

.2 2122368173 7432710943 5022561220 7534262957.C164 229

230 (2,46) L.M

L (10M) 410 7757827661.P75

M (10L) 461.509681.9 3744372901.822535797 8845859081.

.4 3912067616 4610394481.P30 230M

231 (1,3,7,11,21,33,77) 8317.1360 9498287622 2218559943.P93

232 (8) 929.23201.182353.4465073. C205 232

233 (1) 552677.1 3129368992 7974865167. C207 233

234 (2,6,18,26,78) 117 6195726258 2764997761.

.117609 7985189674 8344160986 3271124249.P87 234

235 (1,5,47) 5641.20681.21997411.P169

236 (4) 395026241.621 8964172073.341075863 5375200561. C193 236

237 (1,3,79) 6637.132247.P148

238 (2,14,34) 2381.27585 5329893529.200 8779447910 2305428621. C152 238

239 (1) 50839983 8327574001. C221 239

240 (16,48,80) 177601.178697187 1341978412 7697931726 3540324544 7905376001.P75

241 (1) 11087.140263.16611897 0220264489. C214 241

242 (2,22) 56629.170369.29606281.14911 6408676012 8255001869. C179 242

243 (1,3,9,27,81) 487.487.69499.67430557.P144

244 (4) 2438537.1039934540 5377216553. C215 244

245 (1,5,7,35,49) 491.18131.6535187043 5737248888 0162997801.P132

246 (2,6,82) 2166675 9011500737 9484962361.

.839915 7903472060 9392656974 1123973950 0688074548 2841386049.P78 246

247 (1,13,19) 38816051.82266809. C201 247

248 (8) 78959 2121167489.8663535 3099283549 7979626513. C199 248

249 (1,3,83) 499.1442209.2184727.

.864053786 6821528796 3079887284 5557892363 3637199851.P100 249

250 (2,10L,10M,50L,50M) L.M

L 4001.76001.P92

M 1610501.P94

251 (1) 503.5213439677.40675 6870206263 8144916699.

.177643346 3792713806 7713031681.2 2120129553 0629409834 6533984373.P155 251

252 (4,12,28,36,84) 4 1593295521.70642 0443676835 8634702473.

.8 4127549110 0778808196 0885806789 7680511169.P68 252

253 (1,11,23) 23*.6866927.1344 1171569221 2607377411.P189

254 (2) 509.3049.7621.4736 3086944961.62138 5610460229.P214

255 (1,3,5,15,17,51,85) 102001.551 6286288241.

.42709 1498697832 7797975291.216 2190107613 3345408608 2249502131.P54 255

256 10753.8253953.9524994049.7 3171503617.P225

257 (1) 30841. C252 257

258 (2,6,86) 80451815 8099056011 4237163201.

.1344 1721102334 7276276824 9649453525 7828666281.

.20202676 0686388880 9647310157 5778895914 3121139209.P50 258

259 (1,7,37) C217 259

260 (4,20,52) 120920505 7051012524 9192553304 9923433521. C154 260

261 (1,3,9,29,87) 155557.27625 8072967107 7856014459.

.6811645 7943720049 5604741804 9529911921.P102 261

262 (2) 1049.14149.33887081.45401981.32218 5369274849.P224

263 (1) 93587 5736987641.P247

264 (8,24,88) 756751 5354198286 0202858401.117863002 8484491047 9546815969.P107

265 (1,5,53) 538481.2040723131.39615657 8189081656 3346704051.P166

266 (2,14,38) 2129.1 4691812549.17 2809571660 5342484009. C182 266

139 Prime Factors 10+

267 (1,3,89) 3154339.11894 1438655807.

.10549 2741525769 3631440903 2033095863 7490303004 4747807503.P102 267

268 (4) 2 7316505681.17 9093946929. C243 268

269 (1) 269539.2582401.P257

270 (2,6,18,54) L.M

L (10L,30L,90L) 329941.49229101.68189581.P51

M (10M,30M,90M) 541.130 2963722419 2121671301.P48

271 (1) 3253.136315309 3838035397 5492092299. C239 271

272 (16) 58627969. C249 272

273 (1,3,7,13,21,39,91) 102103.P139

274 (2) 718606649.4 0160350429. C253 274

275 (1,5,11,25,55) 150 1539197401. C188 275

276 (4,12,92) 1657.1469409649.381152150 7439105678 4287931569.P136

277 (1) 9419.9973.2583222779. C259 277

278 (2) 1669.15422003 5640400941. C256 278

279 (1,3,9,31,93) 1117.183 3722828645 4791674901 8225828651.P145

280 (8,40,56) 1378721.575 8943337281.67176 5845875804 1138199521.

.1081862 9916055943 3206947759 4870669601.

.7048825036 8897247920 7098857667 9306254761 6862669921.P63 280

281 (1) 656 0496291091.585139 4012953537 9432477007. C242 281

282 (2,6,94) 1129.379212 8943527581.2 2462858604 3098654850 6215527001.

.4416 5945462580 9720192647 0552762575 2863783262 1638030289.P82 282

283 (1) 1699.241117.61945 5733052226 9027936366 3578823967. C239 283

284 (4) 4672937.1 1473030297.27391964 7900781361. C246 284

285 (1,3,5,15,19,57,95) 571.113 8227382803 1938028891.

.431355 1376399169 2454656851.P94 285

286 (2,22,26) 1757 6772101461.754 3093230295 7898149445 0523147961.

.4832 2271589397 1661446834 5433242909.C161 286

287 (1,7,41) 1921 4818177409.P227

288 (32,96) 577.31 7752351489.P178

289 (1,17) 511438099.58706379 3048979091.423239926 3941934904 9079264521. C217 289

290 (2,58) L.M

L (10M) 17 6795536638 8381478541.P91

M (10L) 14 0879426798 5761094061 3213182901.P82

291 (1,3,97) 12 0993298365 1298761631 7321030232 8063293143.P151

292 (4) 73*.1753.468953.1 6239376901 7609303761. C258 292

293 (1) P292

294 (2,6,14,42,98) 2 3742102289 4723514231 0460558271 8329399560 972065\

4579 6856193478 5062599221.P98 294

295 (1,5,59) 23 5386702680 3341982771.256 0260141810 2182972721.

.1934282 7257909653 4429098931.8034542 0509530382 1868753731.P136 295

296 (8) 593.P286

297 (1,3,9,11,27,33,99) 7129.89272 4462394118 1398233253.

.1 8667635465 6768099610 3417376059.

.1129703 0838243985 9401726947 3417407045 5495173740 8511354573.P65 297

298 (2) 10729.607921.1 3691641668 6052955621. C267 298

299 (1,13,23) 3 2494323733. C254 299

300 (4,12,20,60,100) 32401.4711 8061000105 6108246629 1127577601.

.448263772 9513780747 0008729356 7362502512 7940754401.P74 300

301 (1,7,43) 3613.21205705 4080446499.1 2052578933 6558438197. C212 301

302 (2) 15101.20481641. C289 302

303 (1,3,101) 133321.329059.389659. C184 303

304 (16) 3031489. C282 304

305 (1,5,61) 2 4473851019 1757857651 8614756091. C210 305

306 (2,6,18,34,102) 54469.158963941.270 9009355501.362 6707988341.

.1 5753898031 9816607121.8461604 9414936579 8478410729.

.1125442817 5578273267 3671367061.P78 306

307 (1) 331 1436805543.1 4904732862 0287349257 5327109823. C264 307

308 (4,28,44) 532410896 9015554508 4545617441. C212 308

309 (1,3,103) 619.P202

10+ Prime Factors 140

310 (2,62) L.M

L (10L) P121

M (10M) P120

311 (1) 82727.212 2689869717.796659 5011106561.34163 1789794741 5066069561.

.8353753650 5691723689 1484436143.C223 311

312 (8,24,104) 148068337.1 0662171313.32580 7801400017. C160 312

313 (1) 5009.10748446 6513984544 2819616837. C282 313

314 (2) 28 4157831951 5136458681 6438858689. C281 314

315 (1,3,5,7,9,15,21,35,45,63,105) 2521.131041.52 5326613841.

.1275 7847310481 2365963470 2312820051.P91 315

316 (4) 259121.73921249.P299

317 (1) 3536453.12361733. C303 317

318 (2,6,106) 3181.125929.1650244 2606471049 7680243709 0486126821.P164

319 (1,11,29) 1277.357281.4 9561573447. C261 319

320 (64) C256 320

321 (1,3,107) 7569823.236 6998879807.8997883 7817010427 0110161037.P166

322 (2,14,46) 21661343 0183025989. C247 322

323 (1,17,19) 647.108529.738379.164 4353478367.10 7889327982 1424911891. C242 323

324 (4,12,36,108) 68562937. C209 324

325 (1,5,13,25,65) 107251.4271801.8 2009322851.3 1894247461 4140390001. C197 325

326 (2) 49 8698470009.76 2329140552 0700300531 8654163381.P281

327 (1,3,109) P217

328 (8) 6051298241.4865 6086054529.669 9954155705 8292185946 3287135169. C264 328

329 (1,7,47) 659.P274

330 (2,6,22,66) L.M

L (10M,30M,110L) 50786 8012934701.61432 0380051993 1376420641.P41

M (10L,30L,110M) 17247781.1082745841.1851 6980928601.900093 1379651641.P35

-------------------------------------------------------------------------------

350 (2,10L,10M,14,70L,70M) L.M

L (50M) 701.422100001.112 5310645201.P97

M (50L) 2135677566 1751120950 6778605497 4896458380 2558793328 8349770601.P61

370 (2,74) L.M

L (10L) 1481.6336499381.

.271880 6758501803 6787265302 3164942909 8807993635 2421609967 1322919521.P67 370L

M (10M) 15541.68821.7 4615611921.409 8464044501.10777134 5624719321.

.162061 7083740894 5509907221.P69 370M

390 (2,6,26,78) L.M

L (10L,30L,130L) 20172169 5849323521.26856471 8633070608 1032050321.P51

M (10M,30M,130M) 19501.916002050 9281917601.P74

410 (2,82) L.M

L (10L) 59090021.12669255 9326467759 7290950641.P126

M (10M) 821.639601.1103 6695406441.107338021 8518144441.

.13500593 5191582899 0550200161.

.13907 4671904011 7784739843 6675852752 4121792121.P49 410M

430 (2,86) L.M

L (10L) 7741.219847 8623863901.

.754 9370642855 1060643184 2888398285 6249713821.P107 430L

M (10M) 104 4817620601.P156

450 (2,6,10L,10M,18,30L,30M,90L,90M) L.M

L (50L,150L) 1801.33301.139501.560701.5030101.

.152372720 0184738629 2776156498 4708391701.P57 450L

M (50M,150M) P120

470 (2,94) L.M

L (10M) 941.2 9096340761.47418105 9033108701.P153

M (10L) 184651106 7752333216 8571918701. C157 470M

490 (2,14,98) L.M

L (10L,70M) 268330861.32 4220347206 9460287355 4553373241.P129

M (10M,70L) 36639 5073564101.35443421 0886621881.

.28706 1645027113 9087568064 1913825481.P102 490M

141 Prime Factors 10+

510 (2,6,34,102) L.M

L (10M,30M,170L) 8161.2586721.507 1197096181.

.67 7827125083 3427230755 5146921335 7648491441.P64 510L

M (10L,30L,170M) 1021.855781.

.11479763 5898427958 7940335423 1518066374 7542680841.P72 510M

530 (2,106) L.M

L (10L) 10601. C205 530L

M (10M) 4241.1103461. C198 530M

550 (2,10L,10M,22,110L,110M) L.M

L (50M) 2471701.486904001.1331 5737160266 4723858501.

.2128904 6266270605 2906860201.490948959 1528281762 8267672401.

.366899611 3223183559 8332503967 1117925190 2642533701.P59 550L

M (50L) C201 550M

570 (2,6,38,114) L.M

L (10M,30M,190L) 21 1592942161.48161 2717573381.

.1170087 3774960920 1563737321.P93 570L

M (10L,30L,190M) 20521.7594681.70532941.368590 2392604541.

.90 2583652559 1423620461.146344282 9482475533 1225520581.P59 570M

590 (2,118) L.M

L (10M) 193274561.34 7811486461.1201323 3555242641.

.85058969 7825627865 6680007081.P168 590L

M (10L) 1181.35764621.3064985101. C213 590M

610 (2,122) L.M

L (10M) 21961.51241.9818561.2847464 4365651641.177 1688627723 0798340041.C185 610L

M (10L) 6101.21 7345835281.55 5818110301.895022129 4967070861.

.1775103358 5336286181.C176 610M

630 (2,6,14,18,42,126) L.M

L (10M,30M,70L,90M,210L) 15 8201922061.565415 8684212146 4411050521.

.2 2920994754 1611916250 4685490734 9197734609 7487987121.P57 630L

M (10L,30L,70M,90L,210M) 135185 5459456741.338 2273232883 1925621101.

.198257447 8133971245 7003608841.938366482 7039416910 7274656883 2156530761.P40 630M

650 (2,10L,10M,26,130L,130M) L.M

L (50L) 1301.P237

M (50M) 431684501.230987 1416796611 4959599501.P206

1010h + 1 = (102h + 1)L:M; L = A 􀀀 B; M = A + B; h = 2k 􀀀 1;

A = 104h + 5:103h + 7:102h + 5:10h + 1; B = 10k(103h + 2:102h + 2:10h + 1):

11􀀀

Factorizations of 11n 􀀀 1; n odd, n < 240

n Prime Factors

1 2.5

3 (1) 7.19

5 (1) 5*.3221

7 (1) 43.45319

9 (1,3) 1772893

11 (1) 15797.1806113

13 (1) 1093.3158528101

15 (1,3,5) 195019441

17 (1) 5054470 2849929377

19 (1) 611590904 4841454629

21 (1,3,7) 7*.1723.8527.27763

23 (1) 829.28878847.374 0221981231

25 (1,5) 5*.3001.24151.185 6458657451

27 (1,3,9) 555991731 5850179173

29 (1) 523.3033096 1704999838 8989376043

31 (1) 50159.2428541.1 5757195758 4602258799

33 (1,3,11) 661.1453.63726 5428480297

35 (1,5,7) 211.424 3771796953 0394595211

37 (1) 2591.36855109.136151713.261541811 8891695851

39 (1,3,13) 79.157.547.84631.480091.32508061

41 (1) 83.1231.27061.509221.14092193.29866451.84 0139875599

43 (1) 141625 8521793067.425346560 9158326804 5915654719

45 (1,3,5,9,15) 98423 3243003746 5033595921

47 (1) 2069.2266687 9066355177.188063270 4182469059 5747113889

49 (1,7) 510810301.1065264019.1006412 2028395139 5639601683

51 (1,3,17) 10711.457315063.1 5085812853.2 5994736109

53 (1) 107.351497.6005113.6918082374 9013138551 2539766532 5977135579

55 (1,5,11) 25301.39161.64317 0158708221.64565433 5737185721

57 (1,3,19) 19*.104 7623475541.14129 0047910865 4932024439

59 (1) 1181.7 0845409351.3308314 6850190391 0253015651 4273500033 1370209599

61 (1) 440177.52051 8327319589.146 1808298382 1110341940 2764550601 9619578037

63 (1,3,7,9,21) 127.8317.867259.106431697.31682542 5410373433

65 (1,5,13) 131.67326742 6712748387 6129948043 9218364514 7042355211

67 (1) 15277.2160349.7639414 8218203559.P42

69 (1,3,23) 139.8209475377.P34

71 (1) 1847.64327.15 9248456569.127 3880539247.P42

73 (1) P76

75 (1,3,5,15,25) 151.59302051.1826934301.276 6528309169 5977275201

77 (1,7,11) 59 3554036769.P51

79 (1) 317.1852775 5110052366 2054683911.P53

81 (1,3,9,27) 139026457.1401069261 7072784593.P29

83 (1) 167.12119.178057577.5 2447614013.P61

85 (1,5,17) 584916791.55339 3500180551.P44

87 (1,3,29) 398113.54415717.P45

89 (1) 73111721.210311 4787086589.41802 3501741837 6525776333.P44

91 (1,7,13) P75

93 (1,3,31) 2791.3163.P56

95 (1,5,19) 67989221.1801244 4102950924 0214675551.P41

97 (1) 389.4247091263.P88

99 (1,3,9,11,33) 397.2377.1240500097.P48

101 (1) 3 4145908547 7993311443.86408339 2962089148 0763267277 6254957729.P46

142

143 Prime Factors 11􀀀

103 (1) 24103.3 7723802531.9 9530120616 2659155091.P71

105 (1,3,5,7,15,21,35) 421.540751.599551.2598121.126713791.P22

107 (1) 127603 3068038437.30497129 7664201988 8986886837 0056474874 7693245597.P48

109 (1) 359707 2845910244 6279558069.P87

111 (1,3,37) 651950 4168641483 9263528059 6760630561.P40

113 (1) 227.45902861.2088415259 1287817709.

.22455 9071068403 6457741638 2241618449.P53 113

115 (1,5,23) 95911.333041.9964291.1718401003 1686356151.P55

117 (1,3,9,13,39) 9127.1810693.P65

119 (1,7,17) 239.2 0580793913.57876475 0213804083 6760695667.P60

121 (1,11) 30977.1595696213.1240 7691244609.P88

123 (1,3,41) 174907.28385941.142971 8209920068 7164658867 9396397417.P36

125 (1,5,25) 5*.163 2185486501.2767843 7808551251.P75

127 (1) 298 5212831443.607373 2108394141.1 0834561842 6999904901.P83

129 (1,3,43) 1549.1389891409.2338110553.4401 2945778511.

.344012631 4390780951.P34 129

131 (1) 263.7791763956 7490161542 1560769789 2626144401.P94

133 (1,7,19) 292601.1889399.408 5166784889.P89

135 (1,3,5,9,15,27,45) 271.P73

137 (1) 8221.339761.3677081.136238281.3947114 7624391215 4244261783.P91

139 (1) P144

141 (1,3,47) 283.64192789.446829 4896841241 4039336007.P60

143 (1,11,13) 3433.311166 3528084541.19114486 9353686249.

.390 8721442195 9708068637.P67 143

145 (1,5,29) 38861.144801 1303581169 8255969232 8954495371.P77

147 (1,3,7,21,49) 7*.6469.71231 9250521341.19653207 6552133922 1407672989.P41

149 (1) 95648167.123 8690333706 7381971073.P125

151 (1) 16944919.1 3665285883.18 4620231357 3737811624 9335576687.P108

153 (1,3,9,17,51) 307.1531.35236819.2 5167354031.292 6326645433.

.2902049825 9950925156 5261308001.P35 153

155 (1,5,31) 11 2582632731.2100801 2759943211.1298104267 8412809421.P79

157 (1) 8838 8104773677.407 1575367817 7846062481.

.201865362 2133278261 5476135581.5898 9380148447 6124763174 8773851299.P64 157

159 (1,3,53) 1399201.2622229.2339 3486084531 9216502879 7638975783 0429777373.P53

161 (1,7,23) 967.48359249.P127

163 (1) 3 9131335891 5050362321.15684 0534918588 8385874441.P124

165 (1,3,5,11,15,33,55) 1321.121679581.145459 8708730201.P57

167 (1) 2339.1353068069.31 2708742481.23 7175956843 6871497727.

.3 5231157129 9428929611 6782558201 0785048370 0618192085 0717652507.P67 167

169 (1,13) 2029.362685493.

.5276574 1001951017 9360993557 4565521674 2310260962 2966194269 7690104397.P84 169

171 (1,3,9,19,57) 32491.406981.368030647.2736100 0362650239.P78

173 (1) 347.593979931.1931369 7101202731.P152

175 (1,5,7,25,35) 1849051.P119

177 (1,3,59) 31153.128857.77162089.

.700559615 0545816426 0291086780 2687096779 0150254367.P55 177

179 (1) 359.26069036 5910973937.1334246 2814769799 5732126527.

.302620619 6994629483 3518392497.6807288359 9007671380 8763658029.

.459 0095791171 3653098790 7464707351.P49 179

181 (1) 4 2811641487.84398779 2713926364 5774810523.P149

183 (1,3,61) 1640962831.47001 1312403953.2 5279295275 6496725399.

.1202139 3165842290 6698644629.P55 183

185 (1,5,37) 3701.2341771441.8942042341.58 6894211641.

.94692664 5625286804 1356465741.111979611 6510601192 9767653050 3786924451.P50 185

187 (1,11,17) 62 5293470077.118 7896992833.

.759 9155566567 2346878989 7776052021 7383136040 8098377707 8304038497.P80 187

189 (1,3,7,9,21,27,63) 757.2150969311.45255 5562844477.

.557814171 1502710729.369592308 7028073007 4750882077.P39 189

191 (1) 195967.2327 6788754002 4567510779 7931468104 1524958846 6971308867.P140

193 (1) 1931.P197

195 (1,3,5,13,15,39,65) 50311.3762447001.P86

11􀀀 Prime Factors 144

197 (1) 301 2710549939.106071719 1208815311.54 0714636882 7614877351.

.616346818 4654504009 3840185886 3608277357.P114 197

199 (1) 797.140893.1 8242336369.464537 3755026923. C173 199

201 (1,3,67) 1609.66 0462844126 2591487762 3090150129.

.1 4160915264 3403055250 7059051163 4038738687.P63 201

203 (1,7,29) 5279.60901.490738600 3219664047 0911957318 7611258997 827\

8096614 3958313896 9212062707.P98 203

205 (1,5,41) P167

207 (1,3,9,23,69) 263198 0958036751.P123

209 (1,11,19) 6689.310 7455009693.321 5499310277.105639 4526657537.

.34 2732573655 3646051554 8316358408 3618987113.P103 209

211 (1) 8867230780 9797915061.P199

213 (1,3,71) 48132 5262407218 2882141229.440430959 0986721979 2359537381.P93

215 (1,5,43) 431.133680121.63 7111281906 5042612731.P143

217 (1,7,31) 2960513 9295060799. C171 217

219 (1,3,73) 439.4072194187.

.5149 4992496785 1751873479 0839369527 6094187500 1182553509.P84 219

221 (1,13,17) 27847.312937.3473237.112616889 4058957269.

.13 7200577591 4078036518 7158337101.C135 221

223 (1) 453137.47060137.767 2126756781.32649562 9795175719.

.136863534 6986648651 0984412427 8446141052 9545236877.P140 223

225 (1,3,5,9,15,25,45,75) 5851.243 8939252251.P109

227 (1) 1410605611 1465766059.17 9279839971 9936463007. C195 227

229 (1) 84743741.1558 7642569099. C217 229

231 (1,3,7,11,21,33,77) 312313.6103043101.35 5797740761.66 2072596417.

.1096 5056258773.P74 231

233 (1) 1399.2797.57401881.30818499 3449104253.

.1751385016 0477834623 6805296173.C181 233

235 (1,5,47) 2351.14749541. C182 235

237 (1,3,79) 342734619 7984637335 0261832761.P134

239 (1) 479. C246 239

11+

Factorizations of 11n + 1; n _ 240

L,M for n = 22k 􀀀 11 _ 473

n Prime Factors

1 2.2.3

2 2*.61

3 (1) 3*.37

4 2*.7321

5 (1) 13421

6 (2) 13.1117

7 (1) 1623931

8 2*.17.6304673

9 (1,3) 3*.590077

10 (2) 212601841

11 (1) L.M

L 58367

M 23.89.199

12 (4) 10657.20113

13 (1) 53.911.59583967

14 (2) 29.1933.55527473

15 (1,3,5) 31.7537711

16 2*.51329.44 7600088289

17 (1) 71707.264793.2218331

18 (2,6) 313 8426605161

19 (1) 191.229.83791.1390636259

20 (4) 41.112064 8576818041

21 (1,3,7) 342 1169496361

22 (2) 251857.264926 3870814793

23 (1) 47.1013.241363.649 3405343627

24 (8) 97.241.1777.1106131489

25 (1,5) 46601.1443629 5738510501

26 (2) 97689 9716207148 3134919121

27 (1,3,9) 3*.379.488998 8840047743

28 (4) 113.449.2521.7700113 9434480073

29 (1) 59.1097 9607179423.20406 4664440913

30 (2,6,10) 4632945 3543600481

31 (1) 311.1303.10789.36 5852473845 5131951223

32 2*.193.257.212836200 3321762953 9178799361

33 (1,3) L.M

L (11M) 9439.991651

M (11L) 67.1169382127

34 (2) 137.2481791513.9598959833.64 1625222857

35 (1,5,7) 71.71.7561.17011.1649341.10047871

36 (4,12) 73.40177.335833548 7319458201

37 (1) 269161427 4040036601.1052774318 1888260981

38 (2) 1990415149.154034689 3006493117 5264655869

39 (1,3,13) 313.63649.53895302 3961943033

40 (8) 5281.3998064125 5169904481 8733915681

41 (1) 711628063.121 6150172449.4 7937852368 0060338823

42 (2,6,14) 19069.5 2079971783 1587692709

43 (1) 5333.9413099125 1394136904 8670743209 6974989067

44 (4) 353.72689.13585441.12982567 9438716999 6154165633

45 (1,3,5,9,15) 181.631.8630633583 0799838011

145

11+ Prime Factors 146

46 (2) 201757.2004414397.2473 7721275161.65694327 2596448809

47 (1) 844309.549524471.2 6097456317.606 9994834680 4199382437

48 (16) 577.3 6592334047 4047701836 3752843393

49 (1,7) 11467.800171.176784259.337610 9638680284 2263303497

50 (2,10) 101.224 8313994601.19930999 0654271081 9727884501

51 (1,3,17) 103.1348033.165764 1335757640 9067287639

52 (4) 9701060782 9826070873 5599372683 6058402278 9501553441

53 (1) 1697.5353637.17148893.8357265 7744632082 0652172859 6439861293

54 (2,6,18) 109.541.388174681.13504 7235355087 5103121929

55 (1,5) L.M

L (11L) 2 1537414911.8 5480219991

M (11M) 4951.411841.13 1525983711

56 (8) 337.394129.23635223 8647181441.30904 4396238359 5123379137

57 (1,3,19) 6043.75013.743378383 8216713772 8921322559

58 (2) 349.16585333.32637413.10 9181877624 1269960178 0185238562 7698243261

59 (1) 22067.3283303 6072593109.5984517 7539010249.531 9902584128 1128499153

60 (4,12,20) 5 2020741601.405 8999967101 7742452961

61 (1) 5 3320740257.1 3721897866 7473446671.38 1471586866 5570313242 6388314683

62 (2) 43 1167290104 6383796549.7 0039146133 8238706293 3417029729 4343364149

63 (1,3,7,9,21) 3304981.468843103.7 1596275661.27 8853374647

64 2*.31695544 0822738177.703240126 2704707649 5187677037 5638576157 6062060673

65 (1,5,13) 1301.25741.316 0327139569 5136384852 3051612091 9120957201

66 (2,6,22) 9863099401.46 2666666820 8162954702 2793157801

67 (1) 269.181303.2354458793.277 8466094669.7638859 2846687031.P23

68 (4) 409.11969.73 9755736441.1438 7579997041.P35

69 (1,3,23) 691.394648951.1 8013255921.93 2225927887.157 7386579003

70 (2,10,14) 2970941.P44

71 (1) 14 9852362577.56 0419605115 4865381517.P40

72 (8,24) 110161.331921.P40

73 (1) 668243.147031637.5186 6303408957.986325 8277206753.P32

74 (2) 149.243595717.254246981.3275634569.555590 1630889277.P31

75 (1,3,5,15,25) 751.299401.P34

76 (4) 457.35613601.52215193.P58

77 (1,7) L.M

L (11L) 23577401.20405 8352486643 0994330651

M (11M) 4 3037232701.1 6041870414 9053207551

78 (2,6,26) 13*.7177.26833.225889.21493057.1177 1471409361.68366 5316878909

79 (1) 7901.681676939.3238 7661780252 0726889810 9882481893.P35

80 (16) 641.2081.4001.232961.29509 0738600481.103759 3750081121.P23

81 (1,3,9,27) 3*.163.5705803.P47

82 (2) 2789.57073.P76

83 (1) 325440677.474338 8033203119 5178437273.P52

84 (4,12,28) 201407641.7 0107576001.P31

85 (1,5,17) 34511.P63

86 (2) 173.1 1862832433.P76

87 (1,3,29) 13399.7596493.1727522113.P39

88 (8) 3169.269281.2224106369.14095241 8556666568 4709841121.P38

89 (1) 179.188606309.5089163291.7 5893828851.2351058 9261592841.

.3 7184840775 7843241773.3530 8250253228 6628861787 89

90 (2,6,10,18,30) 9001.16921.22501.P38

91 (1,7,13) 1234394208 4000822751.P56

92 (4) 34961.324599369.P79

93 (1,3,31) 2 3784332347 3654847623.P43

94 (2) 1693.6678701.18 1894150853.182 3151514157.P63

95 (1,5,19) 1253913742 7795521647 9795494641.P46

96 (32) 2689.850177.7746049.1392800 6777524033.P35

97 (1) 3881.2009243 5297168943 2250644561.P71

98 (2,14) 197.3397 6720793233.P72

99 (1,3,9) L.M

L (11L,33M) 95885659.1662 2214627993 9538766671

M (11M,33L) P32

147 Prime Factors 11+

100 (4,20) 401.2254601.5931105001.6 9084589801.P54

101 (1) 20201.228104057.173295186 9588220873.P74

102 (2,6,34) 38264 5993638157.56362 0766036953.P38

103 (1) 1237.5 1396929137.38 4253725077 2226605747.1282 8893811794 6418355541.P48

104 (8) 8 6759222313 4283908122 1807709585 0708048977.P60

105 (1,3,5,7,15,21,35) 275310421.13 7031343051.P31

106 (2) 410982353.2374 6234974173.2225080 0656016001.7274449886 0303958101.P51

107 (1) 841021.P105

108 (4,12,36) 433.8209.P69

109 (1) 11119.14389.P105

110 (2,10,22) 1327481.3631 8547582241.11037 4378040081.

.1 3637126280 2069831801.P30 110

111 (1,3,37) 37*.223.P72

112 (16) 10529.15233.132833.77 8247953120 1887486913.P65

113 (1) 909877.P111

114 (2,6,38) 3782 0720459377.3 0867370354 3834165513.P41

115 (1,5,23) 2531.5 5895673727 8445325461.P68

116 (4) 233.287681.606 0426927203 2563100609.15024 7799070869 6255525449.P62

117 (1,3,9,13,39) P75

118 (2) 1291321673.1013 5633127939 5347036374 1024001073.

.64838817 7475780953 2359282791 4385846481.P41 118

119 (1,7,17) 110917283.124214819.6 9796946717.25664 4509902201.

.6306365 3308203311.209145637 6138057349.3154 4041883372 6113081631 119

120 (8,24,40) 3121.114001.1698371041.126 5804611787 6244394801.P27

121 (1,11L,11M) L.M

L 727.16636 2803807102 2183838437.P31

M 122453.2095721.10356 9468207767.P32

122 (2) 61*.733.15373.19042493.61533908 1285269009.

.16694 5076296840 2675800846 5713586372 8824204737.P47 122

123 (1,3,41) P84

124 (4) 1489.6449.11161.5721113.92247817.P100

125 (1,5,25) 251.559001.30877424 2839695686 1636867835 3563069501.P59

126 (2,6,14,18,42) 2017.21673.1540 2170477975 7520440774 8160801193.P35

127 (1) 509.2140352083.

.44026406 2584825801 6840688846 6603584371 3042524374 2595514279.P62 127

128 2*.15361.11 1489577217.5743416 4634640220 7998363393.

.4018529 5833453129 6404205877 8793458689.P55 128

129 (1,3,43) 1291.P85

130 (2,10,26) 521.P98

131 (1) 9858799.1 1923572437 5228558113 0760402772 2594983979 6708740043.P79

132 (4,12,44) 5756 3039928769.50427 8350263601.P55

133 (1,7,19) 232 0402701689 9114504903.P91

134 (2) 4 7271776033.55559 6265747977.565353 0366032833.P97

135 (1,3,5,9,15,27,45) 283771.86 1465705211.P58

136 (8) 17*.2 9584734433.P122

137 (1) 823.2467.12932527.66675 1384702583.337 0223738457 0719055067.P91

138 (2,6,46) 277.6128029.P83

139 (1) 4856 0832383207.2383547 8071413231.

.22691 1237770389 3204650961 9474960927 4682969829.P70 139

140 (4,20,28) 281.74069656 7109460754 7812305361.P70

141 (1,3,47) 2539.P93

142 (2) 192553.689669551 2898403271 0822239521 6199397440 7591311981.P92

143 (1,13) L.M

L (11M) 859.2003.23167.36037.17 2626755159.61915 1422486169.P21

M (11L) 2008696691.30 3798181831.P43

144 (16,48) 3457.11 4500564929.P86

145 (1,5,29) 54521.P112

146 (2) 293.877.1085 1207624233.

.164292437 3932604240 3984186313 0680017014 6224088997.P84 146

147 (1,3,7,21,49) 5 4447297367.59356758 8238393763.P59

11+ Prime Factors 148

148 (4) 1481.

.10 1701461611 6062450758 9185121238 2622492666 6716125612 7057415217.P86 148

149 (1) 1193.1530827.

.7753 2270913885 6254112793 4501589544 9420116731 9485721463.P91 149

150 (2,6,10,30,50) 78 8460427124 7668072701.P62

151 (1) 907.3323.25 5421785001.372 7814626917 3754302198 9945244913.P106

152 (8) 13681.107 7214649569.P134

153 (1,3,9,17,51) 2143.7 0740970147.

.1840706193 5914275023 7347730588 2643135847.P47 153

154 (2,14,22) 617.99793.2 8785963361.65 8086729782 2877721014 7008368433.P75

155 (1,5,31) 25111.668671.19458997 8065086208 1973056361.

.25153 9498252379 7348533872 3920570841.P54 155

156 (4,12,52) 1873.24337.33 2327331649.341 2261205519 0870821521 7157918113.P49

157 (1) 424843.P157

158 (2) 2 1621681589.19 5687304237.232582 0989287069.

.2016 6286506923 7650817869 3692448257.

.17 7115854116 7766740145 9866377839 8923878397.P51 158

159 (1,3,53) P109

160 (32) 225601.1062 8056841921.6922091757 8031208961.P96

161 (1,7,23) 1466711.6875023.18248063.2506937119.

.75580 4849337672 7765009012 4382122269.P73 161

162 (2,6,18,54) 793130293.P104

163 (1) 653.13693.589417 2551186797.4058802 4579899136 4856121577.P120

164 (4) 13121.42641.2074273.7130393.4 0257849161.9735 2750991169.

.286131 1221613049.28171369 9327243441.55274849 7406807193.P70 164

165 (1,3,5,15) L.M

L (11M,33L,55M) 331.3301.P37

M (11L,33M,55L) 3631.P38

166 (2) 4331273.2 4967511537.349603 7878168117 3508155621.

.2308531347 4718639584 6931362065 0223778129.P89 166

167 (1) 1339169327.

.3300432 7618581038 6634805810 5008794336 0609977408 7989608629 0505245157.P98 167

168 (8,24,56) 52081.126001.2474 3788884760 4652162337.

.1187381 3697633043 4629762417.P41 168

169 (1,13) 3719.P159

170 (2,10,34) 32607779 5746384045 6531891601.P106

171 (1,3,9,19,57) 395 1262192774 6115440919 0377869979.P80

172 (4) 10321.895777.2291140793.461 2466317049.1891 7231969257.

.89 9348130453 4541048526 6968635813 2629099426 2879631297.P78 172

173 (1) 2521 8258782887.465765019 6273780561.P148

174 (2,6,58) 1 2735009193.2540 5175682157.3614 4770810077.

.9529369 7344264395 9684832684 3374200197.P43 174

175 (1,5,7,25,35) 723451.28289 7188153848 8839473450 7227024951.P85

176 (16) 35201.7434241.30351 8303204723 0625631489.P131

177 (1,3,59) 709.8852479.418286047.2 9920690297.

.43835332 6082171978 3424892027.P65 177

178 (2) 46993.P179

179 (1) P186

180 (4,12,20,36,60) 554041 6348898356 6726633359 8012061961.P65

181 (1) 1087.10499.28961.4928993.49459 9122567229.5899787768 2336364\

721 4636856342 8870969150 8673113520 1368025249 8451159641.P85 181

182 (2,14,26) 2549.7687204 7790169633.60359744 2693160189.

.21 3898586718 1292783961 0150156529.P81 182

183 (1,3,61) 367.5 3073353897 7688353451.P102

184 (8) 5153.13249.33 9386656438 1362044449.187 6225428465 2611492897.

.217 8663038468 3532977189 1082309112 5671985841.P90 184

185 (1,5,37) 1367 8726350491.5104785 6865130603 5780751621.P111

186 (2,6,62) 373.20089.3237 4432065322 7644676293.

.3874919507 3301319014 6272614153.P65 186

149 Prime Factors 11+

187 (1,17) L.M

L (11M) 1123.P80

M (11L) 1871.P81

188 (4) 149441953.17 1415286494 4115675437 0760842587 0213258741 8118797713.P133

189 (1,3,7,9,21,27,63) 6427.41959.63743 8224833677.

.652 4996175435 4052067522 2321113591.P57 189

190 (2,10,38)

516262 8002703462 8675095701 5107437143 5847550225 8120541175 9884765761.P85

191 (1) 383.92956 0754507438 5946753599.

.1 0943652034 9183065165 1868632792 9621233253.P131 191

192 (64) 4999681.18 8203763329.5982 5484896641.252220 4187418753.P87

193 (1) 773.P198

194 (2) P200

195 (1,3,5,13,15,39,65) 1171.2159041.5347681.41711671.P77

196 (4,28) 439656 4922913073.1000 2150699364 4842429787 7519565769.

.275 8431619796 0616324036 3134865262 6229443445 2581372529.P74 196

197 (1) C205 197

198 (2,6,18,22,66) 851401.469740 5477458849.P104

199 (1) 8685953.146650663.3823602319.7936 5167307383.P168

200 (8,40) 90001.29128 1336764801.166257 6761519932 5017280401.

.89672080 6439075722 6282896093 9142033823 4464212801.P75 200

201 (1,3,67) 3217.P134

202 (2) 3637.3744242 1086030953.P189

203 (1,7,29) 3006 1259593891.26317 7061595513 6056555244 4185165409.

.239309852 6213023802 4673037723 3212469637 9948606359.P79 203

204 (4,12,68) 2137337 0567867161.9 3892078301 3404187213 5543904593.P86

205 (1,5,41) 35671.80519081.8240924561.1946593841 1835695151.

.11970 6558104019 8994324241 3896209071.

.111822 0897006993 1451487862 1697979739 2760797171.P46 205

206 (2) C213 206

207 (1,3,9,23,69) 15754 2545807584 7579018029.94301 9558762452 1199783253.P89

208 (16) 574566 4293565249. C185 208

209 (1,19) L.M

L (11L) 397519.1304601827.57 1325761110 5981119921.P58

M (11M) 419.4802356 3923633871.P75

210 (2,6,10,14,30,42,70) 477 4799693782 3836342763 5486137548 6612699501.P58

211 (1) 7 9842611423.240 6810270330 4254483013.12741 9767066538 4896310643.P162

212 (4) 2034665 1139084609. C201 212

213 (1,3,71) 1279.4261.38767.241314517.8698096969.1 4980015231.

.14672 5989283141.6 1613677654 1492617122 9366093206 3639173483.P52 213

214 (2) 715189.22200 4188227343 4361683633.

.16 7682147711 5928213987 3571399300 1367086093.P150 214

215 (1,5,43) 81 3189004171.319713580 4492492971.

.193765176 2900563797 5679372530 7814540891.

.5662104 5460781648 0986105038 4795652869 6245241991.P60 215

216 (8,24,72) 1297.6481.3182647681.1 3685944897.2365228300 0971422593.

.1752 3001777862 7417853908 8217518113.P71 216

217 (1,7,31) 241739.615 1633335373.1110529 1873337733.

.92 1286600122 9203671995 0667586473.P122 217

218 (2) 15442249.90833189.343390549.1 3701517129. C192 218

219 (1,3,73) 3943.148483.1 3294559689.2 1149169451.

.12270233 4278762273 8230402973.

.1055 4863204373 6036644967 0086838379 6000277143.P51 219

220 (4,20,44) 881.23525041.2423799841. C147 220

221 (1,13,17) 443.15214967.P191

222 (2,6,74) 9499 1729092349 0603206741 2079201033.P116

223 (1) 443686153.114 0498656251.41475476 3228479352 7095981801.P183

224 (32) 2758337. C194 224

225 (1,3,5,9,15,25,45,75) 9 0605408587 6149781651.P105

226 (2) 3617.228821837. C222 226

227 (1) 2154935232 0724159933.6733232555 7222369139.P197

11+ Prime Factors 150

228 (4,12,76) 430009.16460 4358929215 6054967626 7982779313.

.1530577370 5706955158 4305674434 1672838593.P71 228

229 (1) P238

230 (2,10,46) 461.134445581.343 2901288598 7218691954 2448578621. C140 230

231 (1,3,7,21) L.M

L (11M,33L,77M) 463.156379174 0201655119.P43

M (11L,33M,77L) 4621.6007.13 0958161489.4198789747 6328997733.P24

232 (8) 929.718243697.P222

233 (1) 467.47574407.1681082419.1 5300218543.280 0063085689. C200 233

234 (2,6,18,26,78) 754417.P145

235 (1,5,47) 17 1956300431. C181 235

236 (4) 1245137.1820977.19661284 6857339161.

.3 4640632020 6169533644 1987275803 5731606321.C172 236

237 (1,3,79) 1298119153.442887255 3883355440 8506877431 1818032069.

.34984 8591222229 4546760838 9804637521 1577130459.P71 237

238 (2,14,34) 18089.2912529718 6513714033.P177

239 (1) 63097.102293.57577969.1309 6317022627.176057 3169194453.P202

240 (16,48,80) 3361.497281.

.40296890 2472395360 8891781494 3486178413 7338065281.P77 240

-------------------------------------------------------------------------------

253 (1,23) L.M

L (11M) 23*.3435849 1915519861.150 8154613600 4856381787.P75

M (11L) 9 3792287513.141 3086923931.P92

275 (1,5,25) L.M

L (11L,55L) 109451.7669751.24 9327078001.132 0705477851.

.484 9535800354 9073063473 4566779401.P37 275L

M (11M,55M) 2 8948806319 5542065140 3345866864 3493614401.P64

297 (1,3,9,27) L.M

L (11M,33L,99M) 602 1292750979 2800235219.5 3437276111 0742741994 6338417467.P41

M (11L,33M,99L) 115564483.P86

319 (1,29) L.M

L (11M) 126069439.5445 3236653277 0022505240 1866176198 5258743661.P94

M (11L) 96937721.2239 5964041133.167439 9383651611.2444070 2406360967.

.425082207 6554186563.1 3624285652 6745299726 7408860021.P45 319M

341 (1,31) L.M

L (11M) 683.13751 4018214392 2516545114 3629880111.

.101 2000371041 9333829126 0839670271 3889156167.P77 341L

M (11L) 88661.10766053.492922321.64 4552386633.

.34540 6198800650 6245928197.11 6356102931 7428065171 6530998551.P69 341M

363 (1,3,11L,11M,33L,33M) L.M

L (121M) 2179.1213873.17156544 1649148574 2466959717 1794606247.P68

M (121L) 4357.29698483.3 2054828257.2213 2988093371.P80

385 (1,5,7,35) L.M

L (11L,55L,77L) 8939701.371071471.51 8583951271.

.10489473 7524665700 3170213161.P71 385L

M (11M,55M,77M) 5487540521.347403189 9426599281.P98

407 (1,37) L.M

L (11L) 822622389 0809541662 5629847487.P159

M (11M) 24421.368743.10173001 5473692321.1 5831712730 1527316568 7503920221.

.21 7876901020 5335781927 5404496594 0504784199 7885060302 6773289483.P69 407M

429 (1,3,13,39) L.M

L (11L,33M,143M) 349207.361219.P114

M (11M,33L,143L) 10 5121516501.800269 6406224006 8874678393.

.13678 1281056972 9297963410 2018107788 8593676549.P45 429M

451 (1,41) L.M

L (11M) 2707.336017551.8911290961.1 0728819238 1863514444 9927674819.

.1815484843 6685062679 8833017163 3365999003.

.54715272 4762445363 2297556163 4166450586 9098913767.P69 451L

M (11L) 77607537 0379457963.8 2872909573 2910996167 8200239527.P160

151 Prime Factors 11+

473 (1,43) L.M

L (11L) 947.354751.744503.69716417. C197 473L

M (11M) 8000323.368900269.3804284 2158630893.12852 7484061854 8862537291.

.573359659 8987694359 9721563601.C134 473M

1111h + 1 = (11h + 1)L:M; L = A 􀀀 B; M = A + B; h = 2k 􀀀 1;

A = 115h + 5:114h 􀀀 113h 􀀀 112h + 5:11h + 1;

B = 11k(114h + 113h 􀀀 112h + 11h + 1):

12􀀀

Factorizations of 12n 􀀀 1; n odd, n < 240

n Prime Factors

1 11

3 (1) 157

5 (1) 22621

7 (1) 659.4943

9 (1,3) 37.80749

11 (1) 11*.23.266981089

13 (1) 477517.20369233

15 (1,3,5) 61.661.9781

17 (1) 2693651.7 4876782031

19 (1) 2904363630 6420266077

21 (1,3,7) 817 7824843189

23 (1) 47.3 9891250417.32 1218438243

25 (1,5) 303551.1262975 7106815551

27 (1,3,9) 306829.8676 9286104133

29 (1) 59.24767.368939.333567298 8472972523

31 (1) 373.126883621.2 3364027983.23 4187563803

33 (1,3,11) 886381.5999137.661269577

35 (1,5,7) 71.491.806821.6089651.425455031

37 (1) 3933841.196 5606665532 8612658898 0353347341

39 (1,3,13) 36973.17654521.11170 4871987697

41 (1) 83.1977898057.97 6689247604 1998649137 0101198871

43 (1) 431.12313309.1 3444466603.323597 5835856252 4963364461

45 (1,3,5,9,15) 30781.5234401.21456901.22981681

47 (1) 1061724 9990997021.4509 3488659736 4803770200 8076799297

49 (1,7) 77617.2 7268138641 5644646496 2776276203 3543154129

51 (1,3,17) 20757613.15103767 8725821423 0993801577

53 (1) 107.743.1694941.29504677.308 9222210773.116398 1734827994 4053139101

55 (1,5,11) 5281.44243 4513819541.57663 0832479011 4380136001

57 (1,3,19) 114001.129733.2052 6705689989.214145 6811167917

59 (1) 22067.3356560884 5417661253.576319092 6562662319 3795527748 5160608227

61 (1) 1706293.1000831393.3599554846 1449237368 6499374650 9712060853 1155491049

63 (1,3,7,9,21) 708391688 8521368983 0288719309 4373767489

65 (1,5,13) 131.1932288541.59682759 0710414051.383 4606717849 5390031121

67 (1) 45464593.1 6180787699.1757783 4702049211.P38

69 (1,3,23) 627990324 1741823809.P29

71 (1) 5113.19597.P68

73 (1) 5065460 8967364071.P62

75 (1,3,5,15,25) 601.80342401.P33

77 (1,7,11) 4621.379101493.19 1199728567.5056597 4802015289.P25

79 (1) 162109.130479719.P71

81 (1,3,9,27) 5937949.66019 8074631409.P37

83 (1) 167.997.1993.22079.557889481.3 5238620437.273 1547200091.

.1005246 8384786123.P28 83

85 (1,5,17) 1021.22271.4832761.20 4560684821.53 8301506584 9288291601.P22

87 (1,3,29) 349.1741.7 4233562929.93672760 4123432773.P26

89 (1) 179.2137.120863.3163346581.1664978 9224075621.

.3503531 7869663569.2 5505377572 7906405559.46 5686828388 9935515079 89

91 (1,7,13) 15270 5150363039.10913178 8077874335 5464526983.P37

93 (1,3,31) 8929.1261081.1 6185865453.P45

95 (1,5,19) 191.P76

97 (1) P104

152

153 Prime Factors 12􀀀

99 (1,3,9,11,33) 397.3169.91439022 7157471966 6671109149.P31

101 (1) 2035913 3179252403.P92

103 (1) 3709.7417.1309643353.139 5177018863 9477959439.

.226 3196928031 4634401435 7964333823.P40 103

105 (1,3,5,7,15,21,35) 2521.126001.9562853581.P34

107 (1) 126047.8368183883.P100

109 (1) P117

111 (1,3,37) P78

113 (1) 227.745 0459827983.31609 3109705519.7 5369277908 5581623227.P71

115 (1,5,23) 2531.P92

117 (1,3,9,13,39) 6553.77410 1091754693.53639 3935075258 1033772013.P35

119 (1,7,17) 239.1429.137089.23082431.P86

121 (1,11) 11*.7019.9971358563.1 3448069471.

.3680 1041190212 6239084087 0391730649 4049155113.P51 121

123 (1,3,41) P87

125 (1,5,25) 251.13751.118751.P97

127 (1) 8 8750555799.2597 9953113431 7521011133 4225450311.P92

129 (1,3,43) 3784861.P85

131 (1) 263.P138

133 (1,7,19) 67033.365876351.1533732 3828784922 2871747653.P77

135 (1,3,5,9,15,27,45) 117 1991449748 6992163161.457 2676196190 7655567941.P33

137 (1) 7894763.9948564 9955791433.

.427 0306101158 8986621404 8548837697 4936909627.P81 137

139 (1) 3 2830711631.1 4972327115 4501574581.

.1397644620 2665769757 0776614036 9838311206 1728500003.P70 139

141 (1,3,47) 3504133.513689 0928835357.P77

143 (1,11,13) 1068975337.281512 9908476662 9509889009.P95

145 (1,5,29) 8458141.15 2107892171.283301 6858862791.P88

147 (1,3,7,21,49) 7622826121.305314004 7080689861.

.290140 6152472657 4502110353.P37 147

149 (1) 11027.1919442572 8973628368 0302513422 8929025089.P117

151 (1) 1653 7237851564 6889242614 0704164885 3990657743.P119

153 (1,3,9,17,51) 613.3673.6128894197.164498 2406845777.

.2 1648685372 7393579797.532947 4021844947 8902707453.P27 153

155 (1,5,31) 311.1737 9312247321.321 7953543922 3966162981.

.50 4159451473 0025603620 1338681258 4959284471.P50 155

157 (1) 3769.8965871 3513382803 6528709133.P138

159 (1,3,53) 30529.526468081.564397849.P91

161 (1,7,23) 1933.36709.8820 6564187383 7825950898 0670038453.P101

163 (1) 31239 5532897766 4272236491.3 0850889152 1238560185 7770168909.

.5527624 4920832349 2136826173 0604489844 2152509401.P74 163

165 (1,3,5,11,15,33,55) 47535 0812105401.P72

167 (1) 55319467 2940916339.P162

169 (1,13) 27 3854127119.4208 5870270393.1 7107455786 7837392887.

.22367193 0292763526 8499980471.P96 169

171 (1,3,9,19,57) 2053.25309.P109

173 (1) 347.6229.178537.165 2061872424 7316579377.

.133 6316109590 3002055925 1207363442 8952014029 5055841316 5227170111.P90 173

175 (1,5,7,25,35) 24539 8400081313 5412614651.P106

177 (1,3,59) 6373.472683457.2 9664964237.4 8253224577.21 5006774581.

.224565 7505577169.2476 7942192797 0902164473.P42 177

179 (1) 359. C190 179

181 (1) 56473.188 9545780485 7319554722 6930925499.P158

183 (1,3,61) 7321.775696 8162619561.P110

185 (1,5,37)

6 4410858561 2036804059 3352248224 8442216963 5054890142 5367127551.P95

187 (1,11,17) 7824829.6367170107.527229208 7965614119.P138

189 (1,3,7,9,21,27,63) P117

191 (1) 383.2293.5576463887.492394 7772621528 3014077912 0613620261.P154

193 (1) 6563.143593. C199 193

195 (1,3,5,13,15,39,65) 2426332 5716698381.4576442 7225623601 8195571421.P61

12􀀀 Prime Factors 154

197 (1) C212 197

199 (1) 11941.5 0445745393.53498 9935052173.45263370 3528239603.

.24 0810703924 3923308111.C146 199

201 (1,3,67) 492853.33736255 7588033581.

.23400 3313601236 2062475950 7467298566 3802865546 3932144793.P65 201

203 (1,7,29) 2437.2032540343.16801 0120865329.

.40386445 0614811943 9397242761.P127 203

205 (1,5,41) 50860501.6 1708179551.10 9423722071.59 4458960231.127 2168094511.

.591147 5574545541 3432518951.80 2612658538 7010997886 3060407012 5125897621.P52 205

207 (1,3,9,23,69) 123373.4635 9329929201.8096515 1313250177.P107

209 (1,11,19) 419.167246399.1904350 6626213169.28 7797226956 7413524001.

.1312 5835907657 8876173923.47140737 2703645320 2094931887.P95 209

211 (1) 98327.599663.896 0574127139.137468 6882866127.

.11 4421570997 8218503678 0447859311.C157 211

213 (1,3,71) 853.668821.5938441.1 4726274721.59359 7578469053.P111

215 (1,5,43) C182 215

217 (1,7,31) 5077606871.3084 7829203283.3 6216847714 0597834640 6298479029.P141

219 (1,3,73) 877.384229369.1303682492 1402558973.P125

221 (1,13,17) 443.9640021.5201 6377765223.14152329 6304179193.

.272674 3304689361 9404631197.2767487366 1288132434 7818956838 7004020073.P102 221

223 (1) 1423187.23385119.1 4130288853.4395 4882455277.

.10062499 9189286834 6686216789.P176 223

225 (1,3,5,9,15,25,45,75) 236 3726892633 4837563211 2430268177 8344117301.P88

227 (1) 147551.256057.152574419.1267583437.1 1056574405 6955405733. C197 227

229 (1) 76487. C242 229

231 (1,3,7,11,21,33,77) 793717.105 3467722693.23780810 5253287801.

.12852 4926041954 9776349461.P71 231

233 (1) 467.31223.788636820 7234258712 9533815443. C215 233

235 (1,5,47) 4982941.116640 3715702151 6682204241. C167 235

237 (1,3,79) 6637.11 4598432057.12 8693099821 7149714369.

.27 5678624767 2170574149 9814127507 1294287352 4790413798 0751231873.P71 237

239 (1) 479. C255 239

12+

Factorizations of 12n + 1; n _ 240

L,M for n = 6k 􀀀 3 _ 477

n Prime Factors

1 13

2 5.29

3 (1) L.M

L 7

M 19

4 89.233

5 (1) 19141

6 (2) 20593

7 (1) 211.13063

8 17.97.260753

9 (1,3L,3M) L.M

L 1657

M 1801

10 (2) 5*.85403261

11 (1) 5 7154490053

12 (4) 193.2227777

13 (1) 13*.79.36037.222379

14 (2) 673.1 3156924369

15 (1,5) L.M

L (3M) 31.421

M (3L) 35671

16 153953.120 0913648289

17 (1) 2551.6690 0193189411

18 (2,6) 73.12 2138321401

19 (1) 3307.8209.90 5265296671

20 (4) 41.521.127921.67657441

21 (1,7) L.M

L (3M) 1885339

M (3L) 7*.43.17011

22 (2) 2377.3697.6337.6 8368660537

23 (1) 829.12421.4948963 0860836437

24 (8) 7681.40609.592734049

25 (1,5) 1951.60601.73951.438472201

26 (2) 53.677.22 0028965426 6792155913

27 (1,3L,3M,9L,9M) L.M

L 109.47336293

M 271.487.39097

28 (4) 794930 1362827373 9882868481

29 (1) 1402596253.10 8487601754 4880450377

30 (2,6,10) 18616811 5009253521

31 (1) 1263499.1734204 7548405947 8781201647

32 769.44 4501809976 1619260256 0262634753

33 (1,11) L.M

L (3L) 67.199.1453.5479

M (3M) 3 9105782299

34 (2) 7 9471453801.4271 5274891531 0957418697

35 (1,5,7) 861212 3596491269 6227980301

36 (4,12) 2231857.3684845809.9666387937

37 (1) 5250079.415 0805645839.3002372089 9326796981

155

12+ Prime Factors 156

38 (2) 1977673.17647 7034940417.201686423 5215616489

39 (1,13) L.M

L (3L) 859.1 7793645013

M (3M) 313.1 7991125491

40 (8) 34182 1891076700 0509286225 6297738241

41 (1) 12301.1684652527.1365 7436942593.4793666 0465075191

42 (2,6,14) 800488 8183409465 6438235281

43 (1) 71209.372060253.1 0273420681.71 7772791489 5266742809

44 (4) 67651673.217245 2839709731 9727803967 8825711337

45 (1,3L,3M,5,15L,15M) L.M

L (9M) 181.4 7263556341

M (9L) 929 8142299081

46 (2) 30266995 7628317561 1073723284 9558875867 8132736113

47 (1) 18049.12349627.2 1622395121.84055169 2743771174 1762092271

48 (16) 7489.3122881.14615 7332293824 2802306049

49 (1,7) 83 5673419881 7312279063.2532 6532452213 1745115559

50 (2,10) 5*.101.1201.700936801.233 4798291701.1480768 7049800501

51 (1,17) L.M

L (3M) 307.38035 5066717049

M (3L) 103.307713 0526103089

52 (4) 288913.25265657.865727447 6576456652 9085743983 6665912121

53 (1) 3181.33073.77366539.1 4861828970 6177141662 5763355655 9606415803

54 (2,6,18) 433.3889.42729553.16 5042892009.5968 6188135337

55 (1,5,11) 331.6271.16401823 4982236911.4676848202 9635739671

56 (8) 113.2129.244721.527633.2223295 0788588289.915051229 7530943809

57 (1,19) L.M

L (3M) 19*.88498614 7755302617

M (3L) 229.62701.317 8598581687

58 (2) 29*.1277.378509.953 3379150437.50712741 5651053993.3982127928 4774257217

59 (1) 709.1063.2 5232402089.2127130 4642628211.8929310820 4809790558 8129990661

60 (4,12,20) 241.141 8416499327 2459617853 5977341201

61 (1) 111997.7361466337.518 8602220069.P38

62 (2) 617521.2682 5115448057.8787327298 4241400393.P26

63 (1,3L,3M,7,21L,21M) L.M

L (9M) 127.79277059.2537121133

M (9L) 2776410374 7580691401

64 36097.81281.69619841.7338973 0593973249.P35

65 (1,5,13) 37831.52960051.P40

66 (2,6,22) 109297.219649.1717321.P27

67 (1) 44623.2291803.P61

68 (4) 137.1 7019338113.P57

69 (1,23) L.M

L (3L) 139.277.8419.22542577.129512587

M (3M) 3486 7038247124 7108491803

70 (2,10,14) 71874601.1 0365509281.161209 2376073761.529845566 4688950121

71 (1) 4805 8613330617.P62

72 (8,24) 577.2752993.1567094 7324691873.P27

73 (1) 439.346059859.632572 2879776491.P51

74 (2) 149.48989.417509.21617621.137 2147657634 3266613693.P36

75 (1,5,25) L.M

L (3L,15M) 151.2251.1696501.6625387201

M (3M,15L) 395251.973331 5100252251

76 (4) 7889080897.1435291 5554230364 7618953713.P42

77 (1,7,11) 463.P63

78 (2,6,26) 3247609.2 3709901801.P35

79 (1) 54 3459970866 4429598203.2703 5498236210 0782692527.P39

80 (16) 2081.247880 6527025281.2145 3859351380 0809975201.P28

81 (1,3L,3M,9L,9M,27L,27M) L.M

L 163.811.1621.6 4106515250 2677063709

M P30

82 (2) P87

157 Prime Factors 12+

83 (1) 499.830 5623819547.52778269 6145344145 7872455753.P46

84 (4,12,28) 337.10753.28 4065793761.P34

85 (1,5,17) 235111.32182021.1825 9343560948 0192119451.P33

86 (2) 173.195049.1260760517.24781968 8992536197.8815 7285201788 0141483757.P33

87 (1,29) L.M

L (3M) P31

M (3L) 2032959451.13 9004666139 6154093141

88 (8) 2481601.6188868577.4 9514757601.82005 3940544879 4297995729.P35

89 (1) 7477.5725 1134712639 4968679427.P68

90 (2,6,10,18,30) 165348 9395093881.3327614 7172349761.1 1485912552 5232035721

91 (1,7,13) 1093.44773.232 2926580703.262022271 0234691381.P40

92 (4) 23369.36433.44 8059410846 8600841183 3430562841.P55

93 (1,31) L.M

L (3M) 5209.2 4221034391.118827779 8029874021

M (3L) P33

94 (2) 941.1129.6581.5607 8144420933.164515643 3564398201.

.191410 1766445389 5628642529.P33 94

95 (1,5,19) 25183108 8886489381.P61

96 (32) 1153.2689.4993.22273.3124609.3531754753.P39

97 (1) 322429.P99

98 (2,14) 197.816 6746006659 0930293917.P66

99 (1,3L,3M,11,33L,33M) L.M

L (9L) 569016 2377645219.4350447 6926662819

M (9M) 2971.P29

100 (4,20) 15601.55201.988062 7023929801.P62

101 (1) 1213.21211.P101

102 (2,6,34) 409.615782161.P58

103 (1) 1237.289765369.100 3041977479.1356 1251678157.98745 2638049443.

.2 3772032128 4227801429.P38 103

104 (8) 3946177.235590161.239 4253229201 4126447165 3948845582 3024969393.P47

105 (1,5,7,35) L.M

L (3L,15M,21M) P26

M (3M,15L,21L) 1471.641761.13383533 0443229101

106 (2) 8693.35617.317789.13865708 4845163757 7834086609.P72

107 (1) 643.192601.4407 5082436603.699 1207721815 5300056899.P70

108 (4,12,36) 2593.182696 3160610099 3253589928 8044215009.P40

109 (1) P117

110 (2,10,22) 19096 6927558661.P73

111 (1,37) L.M

L (3L) 223.2221.17276929.P27

M (3M) 16651.P35

112 (16) 140897.P99

113 (1) 13528813.800189839.P105

114 (2,6,38) 457.19 7391950050 8479511279 7936193449.P44

115 (1,5,23) 1381.21391.1364472 9896474641.23329049 8320197431.P55

116 (4) 18097.10161601.11212138 8095793449.P93

117 (1,3L,3M,13,39L,39M) L.M

L (9L) P39

M (9M) 937.3846087181.P27

118 (2) 248961 6072661321.

.8794017656 0868762457 9740393445 2715068427 2220289857.P60 118

119 (1,7,17) 12853.79953 6900947360 8488042320 0503117280 3108911069.P55

120 (8,24,40) 148589761.29749 9056050881.P47

121 (1,11) 727.9888121.35318213 9722763737.23945 8088105599 6074990901.P67

122 (2) 149780377.3502 5797988529.P108

123 (1,41) L.M

L (3M) 676826 2271978677.P28

M (3L) 2631304807.3138 3200376667.3 0511577297 2736748643

124 (4) 1489.2729.2934711854 8682214281.158 3895089836 4499433201.P82

125 (1,5,25) 21751.73233751.

.4915545 5682299488 6070912021 6552326260 9092033251.P50 125

12+ Prime Factors 158

126 (2,6,14,18,42) 225 4746358873.12644900 5068750937 1770918441.P39

127 (1) 7621.1373887.2567179.25 8048596775 2214559759.

.329 7733393711 8557955263 1594946923 7174164031.P56 127

128 257.P136

129 (1,43) L.M

L (3M) 53923.3227839.5 2929369769.1450 9663662381 8195367871

M (3L) 4903.10321.25801.272191.8211109.12 4336818780 3728694619

130 (2,10,26) 1301.25 9936635790 5564046732 1336114621.

.2153 5630543488 0151896121 5117565061.P36 130

131 (1) 99823.795 8872151807 1314082023 9663156533.P103

132 (4,12,44) 1 5114872333 0113943743 8722025169.P57

133 (1,7,19) 1597.23143.37507.15 8416924412 8345096741.P84

134 (2) 269.12465217.238437457.61609 1446145933.284294231 5491768701.

.534 1267658677 6404881794 0327317797 4007341341.P49 134

135 (1,3L,3M,5,9L,9M,15L,15M,45L,45M) L.M

L (27M) 541.45103501.P29

M (27L) 69661.92442871.2 9315905831.375464 5011808021

136 (8) 17*.6529.277169.31457 6354050781 1991784369.

.309271493 7280024436 7934236497.P75 136

137 (1) 823.2467.55897.660067.13105969.446465191.47 2651947606 7642779241.

.804 8556602815 1221812203 9707720967 3375295667.P50 137

138 (2,6,46) P95

139 (1) 2503.19104318 9673024621.1436503459 9419562813 9073964067.

.20 2960904636 6446190421 3429756960 6535376821.P58 139

140 (4,20,28) 281.12041.P98

141 (1,47) L.M

L (3L) P50

M (3M) 283.4231.161869.37144759.148353433.259 5234901712 2640990797

142 (2) 70550429.8 2381421565 7140097997.P123

143 (1,11,13) 69499.215359.5 7142118749.35 6498118299 8902659851.P88

144 (16,48) 4154606 9447448707 5907598913.P77

145 (1,5,29) 433261.98564911.1237976071.3622798321.4007980381.

.126 5121937021.P67 145

146 (2) 293.4248 1639962581.235908114 3446232996 5465365037.

.42288 1728571921 7161469259 1029181454 0303336456 3608626869.P57 146

147 (1,7,49) L.M

L (3L,21M) 7*.883.3410989.5753751 0254151061.174420106 9246727869

M (3M,21L) 8527.85809 9307135729.P27

148 (4) 4681523916 8113548974 4407308902 0189848257.

.51 8542971881 1577513802 7935432781 2674150753.P75 148

149 (1) 2683.133 3516292923.P145

150 (2,6,10,30,50) 3001.4201.4833366 6543999864 0435872281 5138642601.P43

151 (1) 907.58639039.9 4517673559.632 7253297117.

.1007917 9381693519 4025534640 8463552287 0375894173 5222841563.P72 151

152 (8) 16417.3090161.15421921.371147521.3027 0047083201.P116

153 (1,3L,3M,17,51L,51M) L.M

L (9M) 919.5 3684863381.P39

M (9L) 336 7724482106 7007790053.P30

154 (2,14,22) 12593813.P123

155 (1,5,31) 757856953 3699283401.

.1035968 5755533349 4614145563 6430778056 4945816191.P65 155

156 (4,12,52) 1873.P101

157 (1) 2271678841 3945698967.5598600389 0075009071.3544 5187272680 4327183679.

.590 7648479166 6826924938 7579080942 0049637197.P63 157

158 (2) 317.1 5723744461.7 7554200461.182933 8999401677.311006514 1987323841.P112

159 (1,53) L.M

L (3M) 3499.11131.8326360951.P39

M (3L) 202222243.P49

160 (32) 1601.1997 1561955854 0486533761.P112

161 (1,7,23) 10627.334783723.308 9670921499.32901879 6407371519.

.313793 3033544386 9092452469 5384517221 9765089293.P55 161

159 Prime Factors 12+

162 (2,6,18,54) 1297.P114

163 (1) 6 0124519193 6553406609.109 2272788992 1079239009.

.32630 9317829840 5277609527 9953978499.P98 163

164 (4) 31489.24621977.148356023 0291988529.335 7216221636 0702145217.P121

165 (1,5,11,55) L.M

L (3M,15L,33M) 89101.1094369431.P30

M (3L,15M,33L) 1321.207023 4581811001.31241 9431467873 2463656071

166 (2) 211153.631820237.398303103 3485223917.

.53 2349770788 3092330731 8421787453.P113 166

167 (1) 78853 9152479959 9235834738 7072972515 8796647538 8837188632 62\

18141334 7391236469.P105 167

168 (8,24,56) 91980673.P96

169 (1,13) 13*.4057.8145943651.158 8611030273 0924472087.

.203880 5405124317 2305329566 5203346211.P97 169

170 (2,10,34) 6121.40 4985898377 6261992381.P113

171 (1,3L,3M,19,57L,57M) L.M

L (9M) 22573.143852 9448862747.901045989 4204410841.6188171130 7123989727

M (9L) P59

172 (4) 41281.130527361.36228874 4135700314 0759870619 0793946704 0578292513.P122

173 (1) 1039.43597.21397333.

.47102 5209035097 5700970149 6503301214 2552925338 9244481318 6448143449.P106 173

174 (2,6,58) 171488833.2 5273969801.30389902 8430312934 3488010161.P75

175 (1,5,7,25,35) 11172001.106 2452504191 4118138301.

.22 9381028641 2917197317 3255879901.145 5593369883 7820004801 4430110801.P37 175

176 (16) 353.1661288449 4783675297.4 1530336687 9530983041.

.2169534223 4555517456 7315727393.P101 176

177 (1,59) L.M

L (3L) 9375882931.1 2198432901.812505 9831313561.P27

M (3M) 16993.56136259.P51

178 (2) 2159497.238672013.120 2622621437.294658397 7087010969. C145 178

179 (1) 27718632 7542739291.526 0391133949 5416989189.P152

180 (4,12,20,36,60) 15121.P100

181 (1) 79279.1685473.49673641.11964317 3667024481.P159

182 (2,14,26) P156

183 (1,61) L.M

L (3L) 1278439.5110459.29285491.1 3154655247.97 8408452143.P23

M (3M) 367.733.56 3215815517.66 2381962579.2216 3333263957.P23

184 (8) 4049.421361.972098497.2 0107997297.39118 1626599457.

.103587 5770413409.P132 184

185 (1,5,37) 67646 8811302299 4226918648 8623687282 8946109472 8017674281.P101

186 (2,6,62) 12115297.2 1280495849.2193621 1819491841.

.35383 9047037925 2215622487 5504890761 7266765713.P52 186

187 (1,11,17) 22441.4595713.47794 5682530691.183407 7939520927.

.692 1535027383 4375318159.425621286 7785911936 5602748711.

.884885 3902620655 8019195154 7220308511.P45 187

188 (4) 2633.4513.1015825 5937250323 6356107925 8932013657.

.162 8231809897 9754077193 2361033195 1581138873.P114 188

189 (1,3L,3M,7,9L,9M,21L,21M,63L,63M) L.M

L (27M) 2647.462137131.1768 0996718533.42307 0985265769.206220589 5072564361

M (27L) 379.757.P53

190 (2,10,38) 649612661.5 1845827441.2084 1615971638 9936472095 2131893201.P103

191 (1) 613020613.6303137521.25 1052583513.41 9680716841.

.127102802 7345083521.16560 4221492853 1046132232 1030847318 1892238691.P102 191

192 (64) 7668481.3394327 9743151873.

.6213153276 8503991152 0369011272 8951403521.P75 192

193 (1) P208

194 (2) 389.1655597.1202992061.336458 7978172444 7427004153.P164

195 (1,5,13,65) L.M

L (3M,15L,39M) 2341.14534 1745837081.P35

M (3L,15M,39L) 14821.P48

12+ Prime Factors 160

196 (4,28) 25873.148728721.9396 0767325881.131150 1490634441.

.295009677 1565431769.11921 0768567723 6267045569.P98 196

197 (1) 15 5014378153.704 2930613634 2208921686 5009818481.P168

198 (2,6,18,22,66) 79201.587999017.13781 5904137033.

.6 1453387030 5718926553.958 6047818453 3233388713.P58 198

199 (1) 46710 2924796427.3191125 0188907711.34457438 5512279122 6122392817.

.249790338 2324614773 3928472653.

.1202118 8124438819 0204228861 9554078500 2102272629.P81 199

200 (8,40) 401.29424001.108271601.1633440001.8064526 1636342801.

.4428188 3469853357 6719427601.

.2165077805 4241738719 7017955719 1716030538 6342344401.P53 200

201 (1,67) L.M

L (3M) 3056324685 3529870844 8383841573.P42

M (3L) 8067337.872 5118568091.P52

202 (2) C216 202

203 (1,7,29) 18326 1006686578 3384160272 7607931220 7309847974 2701585\

250 0076585944 8404747943.P108 203

204 (4,12,68) 184417.P133

205 (1,5,41) 1231.486 2333034241.3351 1381037498 5359527684 7542732791.P124

206 (2) 62213.14161 4078542763 7803934557. C192 206

207 (1,3L,3M,23,69L,69M) L.M

L (9L) 20287.66 8400059773.17721118 9194754565 8642828177.P28

M (9M) 7867.104743.322093.37384201.827427439.37 6160757697.P29

208 (16) 369409. C202 208

209 (1,11,19) 2585746747. C185 209

210 (2,6,10,14,30,42,70) 76441.P99

211 (1) 54161 1050206377 1552032127.P202

212 (4) 1 0492629345 9735752969.P205

213 (1,71) L.M

L (3L) 1279.7243.52935252 3153057469.P52

M (3M) 2557.9 5262284863.P61

214 (2) 2141.157408776 7398010009.431733728 9784510701. C189 214

215 (1,5,43) 338053531.1 8734395231.6 8595346231.143173795 4334448711.

.2798 4214140616 8204328831.P111 215

216 (8,24,72) 2 3958142787 8728374721 5883470689.

.240491989 8173408553 0680050407 6167603617.

.1391 0487547034 8730354562 1037416480 3760731489.P44 216

217 (1,7,31) 4140361. C188 217

218 (2) 15711697.82588 5443389890 4905897542 0300525041. C191 218

219 (1,73) L.M

L (3L) 259697 9075258143.394152 2320230861 5565360103.P37

M (3M) 3067.5 7027138015 5140435027.33 7027294885 6354464883.P32

220 (4,20,44) 91961.1851672241.275780 2256166761.

.5611 4349979147 4213957386 8257895969 5611260961.P100 220

221 (1,13,17) 1074061.51 0790887053 6771352457.P180

222 (2,6,74) 40849.640249.9022993753.42 9577900014 7166429168 6050194961.

.61 1341062970 7491402246 6808150294 2105470241.P62 222

223 (1) 267 2516856853.P228

224 (32) 449.3137.3870580673.716 8793748481.73822 2248933649 2114312129.

.1908881 8749299344 2754216164 4841657921.

.114 8488175358 3546231345 8761868831 2414140434 2407238273.P66 224

225 (1,3L,3M,5,15L,15M,25,75L,75M) L.M

L (9L,45M) 21601.76113001.29914 0388019086 7231178651.P29

M (9M,45L) 511201.2946346 0591278233 7115596451.P33

226 (2) 3 2931747749.P232

227 (1) 1 9998034891.10 8036835805 2272077617. C213 227

228 (4,12,76) P156

229 (1) 50839.5 2973555989.3183 5342204569.28574126 4675509431. C200 229

230 (2,10,46) 461.584022 1773191621.P172

161 Prime Factors 12+

231 (1,7,11,77) L.M

L (3M,21L,33M) 2311.4159.8622307.16140 9762520777.P37

M (3L,21M,33L) 3346 8683678431.6244 2345339067.P38

232 (8) 25057.252881.2848033. C226 232

233 (1) 1399.2797.P244

234 (2,6,18,26,78) 28081.2061437763 0228200209.

.323 4543687001 6857281315 0420103889.P100 234

235 (1,5,47) 307381.248288311.4 3018304761.1988259255 0980069311.P155

236 (4) 629177.440 7098760913.12836 0515998721.1031757111 2655635326 0402742257.

.71683062 2926295710 6040931588 3508200529.C151 236

237 (1,79) L.M

L (3M) 3480424159.85041 9722408989.67173739 1081542963.P42

M (3L) 10903.12799.1283119.4032 0873507469.P57

238 (2,14,34) 6 5974186959 1722485123 9065051873. C177 238

239 (1) 32983.99826669 8294786101 5602992869.P225

240 (16,48,80) 20161.1 3536885121.P124

-------------------------------------------------------------------------------

243 (1,3L,3M,9L,9M,27L,27M,81L,81M) L.M

L 1 8111923839.66104 4417041377.P63

M 74557286 1233573041.1 6976389459 1993350021.P50

249 (1,83) L.M

L (3L) 17431.128983.1734037.675 1461025693.P61

M (3M) 39343.399009 8666304739.381147 8302155203 8563632809.P43

255 (1,5,17,85) L.M

L (3L,15M,51M) 17 7317320711.1983879 9892671391.P42

M (3M,15L,51L) 5101.204437467 3788302375 9876091151.P38

261 (1,3L,3M,29,87L,87M) L.M

L (9M) 523.1567.7503751.116786539.3145595491.2 7322991191.

.685627819 6767955867.P32 261L

M (9L) 607933535 6606159341.23 1740125419 6914992971 3611504191.P41

267 (1,89) L.M

L (3M) 36313.1 1295986832 7042355869.P71

M (3L) 14512 1089875222 4777318285 3974673744 5413985529.P52

273 (1,7,13,91) L.M

L (3M,21L,39M) 3823.9829.434406883.P62

M (3L,21M,39L) 547.11393929.913439937 2201485414 3544819053.P39

279 (1,3L,3M,31,93L,93M) L.M

L (9M) 3907.282349.2059414118 5056607117.P69

M (9L) 1117.2151005 3036946485 3834511962 3059499317.P58

285 (1,5,19,95) L.M

L (3L,15M,57M) 7172881.P71

M (3M,15L,57L) 571.19381.103171.P66

291 (1,97) L.M

L (3L) 3526932999 4328845375 7336323267 8175415119.P65

M (3M) 1 1266918213.1283650 8951473917.P78

297 (1,3L,3M,9L,9M,11,33L,33M,99L,99M) L.M

L (27L) P98

M (27M) 11287.19603.13261051.28701487.8 0724945709.288597455 2146329029.P45

303 (1,101) L.M

L (3M) 607.231493.298759.526860 4729186220 2798021464 4731465727.P59

M (3L) 1487513659.69438508 2117239221 6786450490 8608149557.P62

309 (1,103) L.M

L (3M) 619.99 9571839499.P96

M (3L) 2473.13597.6 3774677479.P92

315 (1,3L,3M,5,7,15L,15M,21L,21M,35,105L,105M) L.M

L (9L,45M,63M) 52291.2979271.1438494751.679 7462485591.P45

M (9M,45L,63L) 631.P75

321 (1,107) L.M

L (3L) 57139.875689.2404291.9335323.38 7551764771.P79

M (3M) 278 3005579153.157089 6163637228 2803822883.P77

12+ Prime Factors 162

327 (1,109) L.M

L (3L) 505613287.P109

M (3M) 1 1129886984 9168513847.6 3451209239 5927602546 1446112941 1419614827.P56

333 (1,3L,3M,37,111L,111M) L.M

L (9L) 124543.11 9810607463.6153 6615482446 5215271421.P77

M (9M) 47287.71263.261665 1769743883.P92

339 (1,113) L.M

L (3M) 76411 0694773033.7328293436 1847577401.11470 3270819551 4473009031.P62

M (3L) 27937 4056939245 9675945343.P97

345 (1,5,23,115) L.M

L (3M,15L,69M) 691.245819 6553490741 7117282311.P67

M (3L,15M,69L) 9 6801166741.4912523136 5237839445 6519067392 0491013101.P45

351 (1,3L,3M,9L,9M,13,39L,39M,117L,117M) L.M

L (27L) 17551.129169.31 4132679901.177 1947806954 1690622753.

.5010739417 7911156652 8388153767.P44 351L

M (27M) 18253.1018 2380153167.555730 7465977957.12 8707803373 4511273919.P63

357 (1,7,17,119) L.M

L (3L,21M,51M) 595588813.531791 2141153328 2455104389.

.7444 9673863251 1126766372 3410113529.P35 357L

M (3M,21L,51L) 3571.8895013.2610 8923931329.14 8547888332 4335621849.P59

363 (1,11,121) L.M

L (3L,33L) 11617.1902847.4240567.23 3011560739.

.1759 0776403036 5209990000 8352881378 9198205653.P48 363L

M (3M,33M) 2179.116574547.P108

369 (1,3L,3M,41,123L,123M) L.M

L (9M) 739.136531.3642031.5752711.142335 5095922941.

.3740721533 7032784045 7698722983.P64 369L

M (9L) 14627161.1 0584363776 6088877609.

.327 0052699297 6007974004 2123012956 4000055047.P60 369M

375 (1,5,25,125) L.M

L (3M,15L,75M) 86276885 7355002751.26061 8022060908 2752959152 6287333751.P56

M (3L,15M,75L) 751.1861999501.P96

381 (1,127) L.M

L (3M) 1524763.1 2721529803.2063 7598101813 6378198643.

.22179455 0096463138 9046193720 8319215171.P59 381L

M (3L) 2287.970789.40979520 7580354851.1 4804448593 4399309164 4952608883.

.1140 9327382231 4825886454 4522278327.P47 381M

387 (1,3L,3M,43,129L,129M) L.M

L (9M) 6967.4388268096 7160339139 7367213040 8161496791.

.20 2923202077 6862032775 1323185900 3158873473.P52 387L

M (9L) 5419.34057.51859.607848517.1 1281513627.1693 1581149574 5796632187.P81

393 (1,131) L.M

L (3L) 787.288931243.785335 2071229031.

.3540 0375486794 0865260651 6870379751.P80 393L

M (3M) 47161.540200509.17 3461409377.P116

399 (1,7,19,133) L.M

L (3L,21M,57M) 7928131.126255554 6640315313.P92

M (3M,21L,57L) 332767.1770692960 2633139191.10621 7777712706 8280484149.P68

405 (1,3L,3M,5,9L,9M,15L,15M,27L,27M,45L,45M,135L,135M) L.M

L (81M) 1719 4742180381 9953791091.5001310745 4891671631 4179353131.P64

M (81L) 9230674951.P107

411 (1,137) L.M

L (3M) 32059.886 3006874344 8247758082 0104024319 3579497800 4066530299.P90

M (3L) 139729711 6580222898 1841740991 5604887567.P109

417 (1,139) L.M

L (3M) 1669.15013.110923.208501.

.56 3888889676 3019486450 2252373142 5128503053 8064074261.P80 417L

M (3L) 3964837.P143

163 Prime Factors 12+

423 (1,3L,3M,47,141L,141M) L.M

L (9L) 1031 6915586827 7226048549.10455 2770413919 6439238126 5548669243.

.38184 6165419473 5739147870 4197749129 3397073551.P48 423L

M (9M) 554977.

.494283682 6699857577 1508427851 3825016244 3488468500 8412777493.P85 423M

429 (1,11,13,143) L.M

L (3L,33L,39L) 372923 0661964237.P114

M (3M,33M,39M) 274233961.59396752 4131726603.1 5950407746 3298584589.

.434 5021097508 4947437977.P61 429M

435 (1,5,29,145) L.M

L (3L,15M,87M) 6 9872836351.8 8725741854 3475083551.P89

M (3M,15L,87L) 36 2856234466 2781538711 3327222416 3575251121 7245360661.P70

441 (1,3L,3M,7,21L,21M,49,147L,147M) L.M

L (9L,63M) 3529.11467.6 9710998267.16 2145535833.120886 2422525899.P92

M (9M,63L) 47629.312229.3819943.147915811.40026 8955783439.

.8056 3595863991 5460106611 1588180688 4967004027.P53 441M

447 (1,149) L.M

L (3M) 2 4268594204 5674495792 2688692935 1661652137 9017039547 818607\

0314 6532721181.P90 447L

M (3L) 13411.3740497.27760489.

.20854360 5083010186 8627222971 4480783477 7153244255 9785477511.P85 447M

453 (1,151) L.M

L (3M) 7345 0547381293 5197268143 2555641148 0614133648 0876911654 5344488307.P98

M (3L) 1348129.2092861.1123412660 8810983588 4435114483.

.3206 0463552694 0436098017 3532840459.7154 4097269524 8942832685 0247389343.P54 453M

459 (1,3L,3M,9L,9M,17,51L,51M,153L,153M) L.M

L (27M) 6427.8263.3290873941.

.4772 9490432969 3832754055 5652344566 6279016230 7244728527 5681332599.P75 459L

M (27L) 2583416323.18 4857725904 5898983521.P125

465 (1,5,31,155) L.M

L (3L,15M,93M) 3 3661195621.7608436 2970120316 1688978900 8167761321.P82

M (3M,15L,93L) 31*.4853358451.P119

471 (1,157) L.M

L (3L) 447044 5296516799 2989021059.

.3373910 9435523185 6056631225 5270898933 1809783342 1423281729 7798982057.P77 471L

M (3M) 7537.15073.12453241.35010373.7447946139 9093993433.

.3 1289406059 5978559505 1345741742 4955206259.P86 471M

477 (1,3L,3M,53,159L,159M) L.M

L (9M) P169

M (9L) 6679.1 2656324253 5798869117.1 2127245100 3595655053 743013354\

3 6857963786 4179043848 8016907141 2408713919.P75 477M

123h + 1 = (12h + 1)L:M; L = 12h 􀀀 2h:3k + 1; M = 12h + 2h:3k + 1; h = 2k 􀀀 1: