[math-fun] Mersenne 43,112,609 and 37,156,667 are prime
Bob Baillie noticed this morning that the two recently discovered Mersenne primes have been "announced", after completing several independent checks. The exponents are 43,112,609 and 37,156,667. The larger number was found a few days earlier. The announcement is at http://www.mersenne.org/ and a press release at http://www.mersenne.org/m45and46.htm It's been two years since the last score; this double hit is a nice reward. It would be interesting to look into using the new high-end graphics cards as compute engines for GIMPS. The floating point is only 32-bit, but one card can do multiply-add steps at 150G/second. Rich
this series of posts on mersenne forum is relevant to using gpu's. http://www.mersenneforum.org/showthread.php?t=10275 i haven't read it all, but opinion seems to be that the word length on gpu's is so short (typically, 23 bits of mantissa for floats) that you need much bigger arrays for the fft's, so you lose the benefit of parallelism. bob --- rcs@xmission.com wrote:
Bob Baillie noticed this morning that the two recently discovered Mersenne primes have been "announced", after completing several independent checks. The exponents are 43,112,609 and 37,156,667. The larger number was found a few days earlier. The announcement is at http://www.mersenne.org/ and a press release at http://www.mersenne.org/m45and46.htm It's been two years since the last score; this double hit is a nice reward.
It would be interesting to look into using the new high-end graphics cards as compute engines for GIMPS. The floating point is only 32-bit, but one card can do multiply-add steps at 150G/second.
Rich
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Robert Baillie