Quote:
Originally Posted by GP2
I don't think that Mersenne primes create some kind of numerological distortion field that leaves clues in the residues of nearby Mersenne exponents.

I can tell you outright , that the residue of the even exponent mersenne after a mersenne prime exponent gives you
((2r+1))^22 mod the even exponent mersenne, where 2(2r+1)*adjacent mersenne prime = previous S_n. 14=2*7 tells you the next value mod 15 is 14 (aka 1). That being said I can't extend the math usefully to help.okay not quite right but close.