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Old 2007-09-04, 16:42   #3
R.D. Silverman
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"Bob Silverman"
Nov 2003
North of Boston

11101001001002 Posts

Originally Posted by Mini-Geek View Post
This question is anything BUT simple math. The question involves
VERY deep questions in analytic number theory and the true answer
isn't even known, let alone proven. It is *conjectured* on the basis
of some heuristics that Mersenne primes are Poisson distributed and that
the expected number of Mersenne primes between 2^n and 2^(n+1) is
exp(gamma) as n --> oo. However this conjecture is not very "firm".
It is more of an open question than a true conjecture (like (say) the
twin prime conjecture).
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