> Now my question is this: "How long does an iteration of one of these
> probabilistic tests take?" and "Can these tests be used on Mersenne
> numbers?"  It would seem to be a good way to dispose of even more
> Mersenne candidates before submitting them to the lengthy Lucas-Lehmer
> algorithm.  Why isn't it done?

To answer your questions in order:

1) For Mersenne numbers, about the same time it takes to perform a
LL-test.
2) Yes.
3) Because the LL-test *proves* primality in about the same time that
the pseudoprimality test reports it may be prime (and so needs proving
anyway).


Paul
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