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Difference between revisions of "M49"
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| discoverer=[[Curtis Cooper]] | | discoverer=[[Curtis Cooper]] | ||
| foundwith=[[Lucas-Lehmer test]];[[Prime95]] on Intel i7-4790 @ 3.60GHz | | foundwith=[[Lucas-Lehmer test]];[[Prime95]] on Intel i7-4790 @ 3.60GHz | ||
| − | | credits=[[George Woltman]];[[Scott Kurowski]];[[Aaron Blosser]] et. al.;[[GIMPS]] & [[PrimeNet]] | + | | credits=[[George Woltman]];[[Scott Kurowski]];[[Aaron Blosser]] et. al.;([[GIMPS]] & [[PrimeNet]]) |
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'''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. | '''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. | ||
Revision as of 13:16, 17 February 2019
| 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 [math]\displaystyle{ 2^{74\,207\,281}{-}1 }[/math] 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
- Discovery thread at MersenneForum
- New World's Biggest Prime Number (PRINTED FULLY ON PAPER) at YouTube channel Numberphile
- More details about the World's Biggest Prime at YouTube channel Numberphile2
