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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

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Quote:
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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