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M48
| M48 | |
|---|---|
| Prime class : | |
| Type : | Mersenne prime |
| Formula : | Mn = 2n - 1 |
| Prime data : | |
| Rank : | 48 |
| n-value : | 57,885,161 |
| Number : | 581887266232...071724285951 |
| Digits : | 17,425,170 |
| Perfect number : | 257,885,160 • (257,885,161-1) |
| Digits : | 34,850,340 |
| Discovery data : | |
| Date of Discovery : | 2013-01-25 |
| Discoverer : | Curtis Cooper |
| Found with : | Lucas-Lehmer test Prime95 on Intel Core2 Duo E8400 @ 3.00GHz |
| Credits : | George Woltman Scott Kurowski Aaron Blosser et. al. (GIMPS & PrimeNet) |
M48 normally refers to the 48th 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 257,885,161-1 was 2013-01-25. See the press release for the full description of this discovery.
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:
- Serge Batalov, who ran Ernst Mayer's Mlucas software on a 32 core server for 6 days (resource donated by Novartis IT group)
- Jerry Hallett, who ran CUDALucas on an NVIDIA GPU for 3.6 days
- Dr. Jeff Gilchrist, who ran two separate tests:
External links
- New Largest Known Prime Number 257,885,161-1 at YouTube channel Numberphile
