On Thu, 31 Mar 2005 12:09:44 -0500, Michael Vang <[EMAIL PROTECTED]> wrote: > On Thu, 31 Mar 2005 10:02:40 +0200, Dr. med. Roland Linder > > 2^31-1 = 2 147 483 647 (Mersenne prime) > > > > 2^2147483647-1 = Next Mersenne prime ? > > Maybe this will help? > > http://www.garlic.com/~wedgingt/MMPstats.txt > > Mike (Xyzzy) > _______________________________________________
Some additional information, According to Chris Caldwell on his website about primes, what you are describing is a Catalan sequence. The information about it is near the bottom of this page: http://primes.utm.edu/mersenne/index.html You can find more info there, but I'll make two points here. 1) I'm no expert so I really shouldn't make an opinion, but Chris Caldwell has the opposite opinion of you, in that he states, for whatever reason, that the next number in the sequence is very unlikely a Mersenne prime. It probably has something to do with the strong law of small numbers. 2) The Lucas-Lehmer test is sequential, and I've seen it stated that you can't split up a single exponent across multiple processors in a multi-CPU machine, so I doubt you could split a single exponent across multiple computers. Tim Sloane _______________________________________________ Prime mailing list [email protected] http://hogranch.com/mailman/listinfo/prime
