B. Developments Contributing to the Present Tables.

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Since 1925, tremendous developments in technology, factorization and primality

testing have contributed to the enlargement and improvement of the Cunningham-

Woodall tables. In the account which follows, we have tried to give both a

technical and a personal review of events that have been an engrossing and, at

times, an exciting part of our lives for many years. Although this account is in no

way a history of the developments in these various _elds, we do seek to present, as

they were seen by us, those aspects which relate to the Cunningham Project.

We have tried to mention those who have contributed in some signi_cant way

to these events. It is perhaps worth remarking that few people have ever busied

themselves with actually factoring bn􀀀1 or with testing numbers for primality. We

regret this and hope this volume will stimulate others to add to our knowledge of

these things.