Extension of the Cunningham Tables


This page contains various extensions to the Cunningham tables. The first block gives future extensions to the official tables. They are shown here (1) so that users who need the factors may get them easily and (2) so that beginning factorers may have some easy numbers to practice on. Please send me any factors you find of the composite numbers. In addition, please report any factors you may find of these numbers by ECM to Paul Zimmermann.

After the numbers in the extension have been factored as thoroughly as the regular Cunningham numbers they will be added to the official tables.

The extensions to base 3 (from 600 to 800, LM to 1600), to base 5 (from 451 to 500, LM to 1000), to base 6 (from 401 to 450, LM to 900), to base 6 (from 451 to 500, LM to 1000), to base 11 (from 301 to 350, LM to 700), to base 12 (from 301 to 350, LM to 700), to base 3 (from 800 to 850, LM to 1700), to base 2 (from 1200 to 1300, LM to 2600), to base 5 (from 501 to 550, LM to 1100), and to base 7 (from 400 to 450, LM to 900), that used to be on this page have been incorporated into the regular Cunningham tables.


The next entry gives the new main tables and Appendices A (large primes) and C (composite cofactors) for an extension to the Base 7 tables from 401 to 450, LM to 900. Note that the LM between 401 and 900 are already in the official Cunningham tables, so are not shown here.

These numbers have been incorporated into the regular tables.

Extension to Base 7 tables from 401 to 450, LM to 900. - - - Appendix A: Large primes for Base 7 table extensions. - - - Appendix C: Composites for Base 7 table extensions. - - - Known factors not yet inserted (old).


The remainder of this page gives links to extensions made by others and also an unorganized list of new factors that people have sent me for numbers beyond the end of the official Cunningham tables. I think all factors from these extensions (in the appropriate range) have been included in the extensions above.

Links to extensions to various Cunningham tables.

3LM table extension from 1200 to 1800, supplied by Paul Leyland.

Additional factors for the 3LM table extension from 1200 to 1800, supplied by various people. This file also includes some other assorted base 3 factors beyond the regular tables.

Additional factors for assorted tables beyond the Cunningham limits of 1200 and 2400 for LM.

Additional factors for tables other than base 3 beyond the Cunningham limits found by J. Crombie.

Send e-mail to Sam Wagstaff


(This page last modified February 29, 2016)