Fermat's primality test vs. Miller-Rabin
Anton Stiglic
astiglic at okiok.com
Mon Dec 5 08:13:28 EST 2005
>Ok after making that change, and a few others. Selecting only odd numbers
>(which acts as a small seive) I'm not getting much useful information. It
>appears to be such that at 512 bits if it passes once it passes 128 times,
>and it appears to fail on average about 120-130 times, so the sieve
>amplifies the values more than expected. Granted this is only a test of the
>generation of 128 numbers, but I got 128 primes (based on 128 MR rounds).
O.k., so if I read this right, your new results concord with the analysis of
Pomerance et al. That would make much more sense.
When you say "on average about 120-130 times the test fails", out of how
many is that?
--Anton
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