# The Third Edition of the Cunningham Book

The Third Edition of the book, Factorizations of b^{n} ± 1,
b = 2, 3, 5, 6, 7, 10, 11, 12, up to High Powers, by John Brillhart,
D.H. Lehmer, J.L. Selfridge, Bryant Tuckerman, and S.S. Wagstaff, Jr.,
is an electronic book published as Contemporary Mathematics, Volume 22,
by the American Mathematical Society
in 2002. This Web site gives the on-line and full versions of the
tables in that book.
This Web site does not give the text of the book.
The full version of the book is available as a pdf file at
this Web site.

Known typos in the full version of the third edition.

The Main Tables as of September 18, 2001 (504K bytes).
These tables include all factors through # 4685 on Page 88.
The full Appendix A as of September 18, 2001 (736K bytes).

The primes > 20 digits in the main tables as of September 18, 2001,
listed in order of size (240K bytes).

The full Appendix B as of September 18, 2001 (280K bytes).

The full Appendix C as of September 18, 2001 (232K bytes).

The "Wanted" Lists as of September 18, 2001.

The Champions and First Five Holes as of September 18, 2001.

Some Statistics about the Tables as of September 18, 2001.

Elliptic curve prime proofs for the 578 primes in Appendix A
but not in Appendix B. (2.7M bytes) The proofs were done (by Wagstaff)
using the ECPP program of François Morain. The proof summaries list
the sequence of successively smaller primes that appear as orders of
points on the elliptic curves.

Send e-mail to Sam Wagstaff

#### (This page last modified September 28, 2001)