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Old 2018-01-16, 16:38   #6
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Sep 2003

2·5·7·37 Posts

Originally Posted by pacionet View Post
Do some math analysis exist on the residues of composite Mersenne candidates? Can the residue values suggest something of next Mersenne?
In nearly all cases, all we retain are the final 64 hexadecimal bits of each residue.

You could check to make sure that the frequency of each hexadecimal digit is roughly equal. I think I did that at one point and found nothing out of the ordinary.

I don't think that Mersenne primes create some kind of numerological distortion field that leaves clues in the residues of nearby Mersenne exponents.
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