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Published in:
2014 | OriginalPaper | Chapter
Mersenne Factorization Factory
Authors : Thorsten Kleinjung, Joppe W. Bos, Arjen K. Lenstra
Published in: Advances in Cryptology – ASIACRYPT 2014
Publisher: Springer Berlin Heidelberg
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We present work in progress to completely factor seventeen Mersenne numbers using a variant of the special number field sieve where sieving on the algebraic side is shared among the numbers. It is expected that it reduces the overall factoring effort by more than 50%. As far as we know this is the first practical application of Coppersmith’s “factorization factory” idea. Most factorizations used a new double-product approach that led to additional savings in the matrix step.