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Number Theory

Primality and Factorisation

11A41, 11A51

[1] Richard P. Brent, Peter L. Montgomery, and Herman J. J. te Riele. Factorizations of Cunningham numbers with bases 13 to 99: Millennium edition. Preprint, 20 pages, 2000.
[2] Graham Everest, Patrick Ingram, and Shaun Stevens. Primitive divisors on twists of the Fermat cubic. arXiv:math/0703553, 33 pages, 2007.
[3] Stephen McMath. Factorization using the infrastructure of binary quadratic form class groups. Preprint, 91 pages.
[4] Stephen McMath. Parallel integer factorization using quadratic forms. Technical Report, 132 pages, 2005.
[5] F. Morain. Primality proving using elliptic curves: An update. In Algorithmic Number Theory (Portland, OR, 1998), volume 1423 of Lecture Notes in Comput. Sci., pages 111–127. Springer, Berlin, 1998.
[6] Paul Zimmermann and Bruce Dodson. 20 years of ECM. In Algorithmic Number Theory, volume 4076 of Lecture Notes in Comput. Sci., pages 525–542. Springer, Berlin, 2006.

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