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Old 2015-02-22, 17:11   #1
Sep 2011

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Default NFS success probability in practice

Hello, I figured out a while back the problem with my python implementation. It turns out I wasn't checking that the (a,b) pairs were coprime. Anyway, it works now it and factors numbers up to 30 digits in reasonable time. However, it seems like my implementation factors with a chance of 1/4 per dependency versus 1/2 from literature. Is 1/2 the actual probability in practice?
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Old 2015-02-22, 19:16   #2
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Mar 2008

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It is 1/2 in practice (if there are exactly two factors).
Maybe your probability is because there were more than two factors? What was your test set - random numbers?
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Old 2015-02-23, 03:55   #3
Sep 2011

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No, somehow, after computing the sqrt using CRT, the numbers will sometimes fail to be congruent. I will github the code soon.
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