[math-fun] New Mersenne prime, 2^32,582,657 - 1
A new Mersenne prime has been found, with exponent 32,582,657. This is the 44th known MP. It was found by the same team at Central Missouri State that found #43. A few details are at mersenne.org. The last few discoveries have been more closely bunched together than usual, and the new MP is still a little short of 10 million digits. Since the GIMPS project doesn't check exponents sequentially, there could be another MP with a smaller exponent, although this is unlikely. The double-checking thread of the work (which double checks the Lucas residues of the Mersenne composites) is lagging well behind. The last time I looked, it was working on numbers between 15M and 20M. Rich
e^(gamma) * log(32582657) \approx 44.451 ^^ where log is to base 2. R'. On Thu, 21 Sep 2006, Schroeppel, Richard wrote:
A new Mersenne prime has been found, with exponent 32,582,657. This is the 44th known MP. It was found by the same team at Central Missouri State that found #43. A few details are at mersenne.org. The last few discoveries have been more closely bunched together than usual, and the new MP is still a little short of 10 million digits. Since the GIMPS project doesn't check exponents sequentially, there could be another MP with a smaller exponent, although this is unlikely. The double-checking thread of the work (which double checks the Lucas residues of the Mersenne composites) is lagging well behind. The last time I looked, it was working on numbers between 15M and 20M.
Rich
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Schroeppel, Richard