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Difference between revisions of "M49"
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| + | {{InfoboxMersennePrime | ||
| + | | title=M49 | ||
| + | | rank=49 | ||
| + | | nvalue=74207281 | ||
| + | | top5000id=120909 | ||
| + | | digits=22338618 | ||
| + | | pdigits=44677236 | ||
| + | | number=300376418084...391086436351 | ||
| + | | discovery=2016-01-07 | ||
| + | | discoverer=[[Curtis Cooper]] | ||
| + | | foundwith=[[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. | '''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== | ==Discovery== | ||
| − | The official discovery date for < | + | The official discovery date for 2<sup>{{Num|74207281}}</sup>-1 was 2016-01-07. See the [http://www.mersenne.org/primes/?press=M74207281 press release] for the full description of this discovery. |
The official credit for the discovery goes to "[[Curtis Cooper|C. Cooper]], [[George Woltman|G. Woltman]], [[Scott Kurowski|S. Kurowski]], [[Aaron Blosser|A. Blosser]], et al." | The official credit for the discovery goes to "[[Curtis Cooper|C. Cooper]], [[George Woltman|G. Woltman]], [[Scott Kurowski|S. Kurowski]], [[Aaron Blosser|A. Blosser]], et al." | ||
==Verification== | ==Verification== | ||
| − | To confirm that there were no errors in the [[ | + | 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: | 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 | *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 | *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 | + | *Serge Batalov, who used [[Ernst W. Mayer]]'s [[Mlucas]] software on two Intel Xeon 18-core [[Amazon EC2]] servers in 3.5 days |
==Links== | ==Links== | ||
| Line 18: | Line 31: | ||
*[https://www.youtube.com/watch?v=tlpYjrbujG0 New World's Biggest Prime Number (PRINTED FULLY ON PAPER)] at YouTube channel Numberphile | *[https://www.youtube.com/watch?v=tlpYjrbujG0 New World's Biggest Prime Number (PRINTED FULLY ON PAPER)] at YouTube channel Numberphile | ||
*[https://www.youtube.com/watch?v=jNXAMBvYe-Y More details about the World's Biggest Prime] at YouTube channel Numberphile2 | *[https://www.youtube.com/watch?v=jNXAMBvYe-Y More details about the World's Biggest Prime] at YouTube channel Numberphile2 | ||
| − | [[Category:Mersenne | + | [[Category:Mersenne prime]] |
Latest revision as of 20:11, 11 August 2024
| 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 W. 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
