I must start out by saying that I don't have much of a background in the
number theory related to prime number testing.  I'm just interested in
them.  That is why I joined GIMPS.

I seem to remember reading that there are probabilistic tests that can
be run on a number.  The test is repeated for a number of iterations.
If the test fails any iteration, then it is definitely NOT prime.  If it
passes a sufficient number of tests, then it is PROBABLY prime.

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?

Thanks, Gary

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