# 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 2 tables from 1300 to 1500, LM to 3000.

Extension to Base 2 tables from 1300 to 1500, LM to 3000.
- - -
Appendix A: Large primes for Base 2 table extensions.
- - -
Appendix C: Composites for Base 2 table extensions.
- - -
Known factors not yet inserted.

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.

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.

Some factors of Mersenne numbers found by Ryan Propper using ECM.

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 May 11, 2021)