I. Introduction to the Short Tables.

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The following four tables, which contain the known prime factors of the commonly

encountered numbers 2n _1 and 10n_1, have been placed at the beginning

of this book for easy reference. Prime factors are given explicitly in these tables and

are thus immediately and conveniently at hand. The factorizations are presented

di_erently here than in the main tables, where the factors of a number must usually

be collected from various lines in the same or related tables. For example, in the

main tables, the 17 prime factors of 2120 􀀀1 = (215 􀀀 1)(215 + 1)(230 + 1)(260 +1)

must be collected from 17 di_erent lines in the four separate base two tables; the

11 prime factors of 1070 +1 can all be found in Table 10+, but on 6 di_erent lines.

The short tables, of course, may also serve as a check on the reader's ability to use

the main tables properly.

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