Hi,
I wonder if any one can help me on the following:
First consider the set of all mersenne numbers 2^n - 1,
then we know that an infinite number of these are NOT prime,
e.g., the set 2^n - 1 with n itself NOT prime.
Now lets only focus on the set 2^p - 1 with p prime, i.e., the set
of numbers that we are checking out at GIMPS. Has anyone proven that
an infinite number these are NOT prime (this is VERY likely to be
true)? If so, how can one prove this easily (it is probably not
possible to indentify a subset that is NOT prime as above
because then we would not consider all of them for GIMPS)?
Thanks,
Benny
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Benny Van Houdt,
University of Antwerp
Dept. Math. and Computer Science
PATS - Performance Analysis of Telecommunication
Systems Research Group
Universiteitsplein, 1
B-2610 Antwerp
Belgium
email: [EMAIL PROTECTED]
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