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Proving the Primality of Very Large Numbers with fastECPP.

, , , and . ANTS, volume 3076 of Lecture Notes in Computer Science, page 194-207. Springer, (2004)

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Improvements to the number field sieve for non-prime finite fields., , , and . CoRR, (2014)Elliptic Curves for Primality Proving.. Encyclopedia of Cryptography and Security (2nd Ed.), Springer, (2011)Building Elliptic Curves Modulo Large Primes.. EUROCRYPT, volume 547 of Lecture Notes in Computer Science, page 328-336. Springer, (1991)Deterministic factoring with oracles., , and . CoRR, (2018)Computing the eigenvalue in the Schoof-Elkies-Atkin algorithm using Abelian lifts., , and . ISSAC, page 285-292. ACM, (2007)Primality Proving Using Elliptic Curves: An Update.. ANTS, volume 1423 of Lecture Notes in Computer Science, page 111-127. Springer, (1998)Building pseudoprimes with a large number of prime factors., and . Appl. Algebra Eng. Commun. Comput., 7 (4): 263-277 (1996)Solvability by radicals from an algorithmic point of view., and . ISSAC, page 175-182. ACM, (2001)Elliptic Curves for Primality Proving.. Encyclopedia of Cryptography and Security, Springer, (2005)Distributed Primality Proving and the Primality of (23539+1)/3.. EUROCRYPT, volume 473 of Lecture Notes in Computer Science, page 110-123. Springer, (1990)