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Number Field Sieve algorithm for Integer factorization and Discrete log problem

asked 2 years ago

anonymous user

Anonymous

I want to use Number Field Sieve algorithm for Integer factorization. My numbers are of the form 2n1.

Also I want to use Number Field Sieve algorithm for discrete log finding in GF(p), for prime p. Are these available in Sagemath?

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answered 2 years ago

Max Alekseyev gravatar image

updated 2 years ago

Unless you are into setting new records in factoring Cunningham numbers, I recommend to use http://factordb.com which report all known factors for such numbers effortlessly. There is a module factordb-python to access those factors from Python/Sage.

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Asked: 2 years ago

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Last updated: Feb 05 '23