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how does sage factor a Mersenne number?

asked 2016-09-05 21:25:32 +0200

randyh gravatar image

E.g. 2^67-1. Does it simply have/use a lookup-table for Mersennes?

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answered 2016-09-05 22:58:26 +0200

tmonteil gravatar image

By default, Sage delegates integer factorization to PARI, so you should have a look to their documentation and source code to know the details of the algorithm they use. It seems not to look at any table, since if you look to close numbers (e.g. 2^67-5), you will notice similar timings.

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Asked: 2016-09-05 21:25:32 +0200

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Last updated: Sep 05 '16