Factorizations of Cunningham numbers with bases 13 to 99
Number Theory
2010-04-21 v2 Data Structures and Algorithms
Abstract
This Report updates the tables of factorizations of a^n +- 1 for 13 < a < 100, previously published as CWI Report NM-R9212 (June 1992) and updated in CWI Report NM-R9419 (Update 1, September 1994) and CWI Report NM-R9609 (Update 2, March 1996). A total of 951 new entries in the tables are given here. The factorizations are now complete for n < 76, and there are no composite cofactors smaller than 10^102.
Cite
@article{arxiv.1004.3169,
title = {Factorizations of Cunningham numbers with bases 13 to 99},
author = {Richard P. Brent and Peter L. Montgomery and Herman J. J. te Riele},
journal= {arXiv preprint arXiv:1004.3169},
year = {2010}
}
Comments
A Technical Report (December 2000) not published elsewhere, submitted for archival reasons. vi + 463 pages. For further details see http://wwwmaths.anu.edu.au/~brent/pub/pub200.html