Cunningham Project

The Cunningham Project is a collaborative effort started in 1925 to factor numbers of the form bⁿ ± 1 for b = 2, 3, 5, 6, 7, 10, 11, 12 and large n. The project is named after Allan Joseph Champneys Cunningham, who published the first version of the table together with Herbert J. Woodall.^[1] There are three printed versions of the table, the most recent published in 2002,^[2] as well as an online version by Samuel Wagstaff.^[3]

The current limits of the exponents are:

Base	2	3	5	6	7	10	11	12
Limit	1500	900	600	550	500	450	400	400
Aurifeuillean (LM) limit	3000	1800	1200	1100	1000	900	800	800

^ Cunningham, Allan J. C.; Woodall, H. J. (1925). Factorization of yⁿ ± 1, y = 2, 3, 5, 6, 7, 10, 11, 12, up to high powers n. Hodgson.
^ Brillhart, John; Lehmer, Derrick H.; Selfridge, John L.; Tuckerman, Bryant; Wagstaff, Samuel S. (2002). Factorizations of bⁿ ± 1, b = 2, 3, 5, 6, 7, 10, 11, 12 up to high powers. Contemporary Mathematics. Vol. 22. AMS. doi:10.1090/conm/022. ISBN 9780821850787.
^ "The Cunningham Project". Retrieved 23 November 2023.

[1] Cunningham, Allan J. C.; Woodall, H. J. (1925). Factorization of yⁿ ± 1, y = 2, 3, 5, 6, 7, 10, 11, 12, up to high powers n. Hodgson.

[2] Brillhart, John; Lehmer, Derrick H.; Selfridge, John L.; Tuckerman, Bryant; Wagstaff, Samuel S. (2002). Factorizations of bⁿ ± 1, b = 2, 3, 5, 6, 7, 10, 11, 12 up to high powers. Contemporary Mathematics. Vol. 22. AMS. doi:10.1090/conm/022. ISBN 9780821850787.

[3] "The Cunningham Project". Retrieved 23 November 2023.

[1]

[2]

[3]