M49

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M49
Prime class :
Type : Mersenne prime
Formula : Mn = 2n - 1
Prime data :
Rank : 49 (Provisional ranking)
n-value : 74,207,281
Number : 300376418084...391086436351
Digits : 22,338,618
Perfect number : 274,207,280 • (274,207,281-1)
Digits : 44,677,236
Discovery data :
Date of Discovery : 2016-01-07
Discoverer : Curtis Cooper
Found with : Lucas-Lehmer test
Prime95 on Intel i7-4790 @ 3.60GHz
Credits : George Woltman
Scott Kurowski
Aaron Blosser et. al.
(GIMPS & PrimeNet)

M49 normally refers to the 49th Mersenne prime, in order of size from the smallest to greatest. This is the primary usage and what is referred to in the rest of this article. For clarification about other possible usages refer to the Nomenclature and notation article.

Discovery

The official discovery date for 274,207,281-1 was 2016-01-07. See the press release for the full description of this discovery.

The official credit for the discovery goes to "C. Cooper, G. Woltman, S. Kurowski, A. Blosser, et al."

Verification

To confirm that there were no errors in the hardware or software, the number had to be independently verified by running tests on various machines with different architecture and software.

The volunteers that ran these tests were:

  • Andreas Höglund and David Stanfill, who each ran the CUDALucas software on NVidia Titan Black GPUs in 2.3 days
  • David Stanfill, who ran clLucas on an AMD Fury X GPU in 3.5 days
  • Serge Batalov, who used Ernst Mayer's Mlucas software on two Intel Xeon 18-core Amazon EC2 servers in 3.5 days

Links