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Difference between revisions of "M41"
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| − | '''M41''' is the short hand used to refer to the 41st [[Mersenne prime]] 2<sup>24 | + | '''M41''' is the short hand used to refer to the 41st [[Mersenne prime]] 2<sup>24 036 583</sup>-1. |
| − | <math>2^{24 | + | <math>2^{24\,036\,583}{-}1</math> was discovered to be [[prime]] on 2004-05-15 by [[Josh Findley]], using [[Prime95]] written by [[George Woltman]]. At the time of discovery, it was the largest known prime number. The number is [http://www.mersenneforum.org/txt/41.txt 7 816 230 decimal digits] long. This prime number was the seventh record prime found by the [[GIMPS]] project. |
The discovery took 14 days of computing on 2.4 GHz Pentium 4 Windows XP PC. | The discovery took 14 days of computing on 2.4 GHz Pentium 4 Windows XP PC. | ||
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==External links== | ==External links== | ||
*[http://www.mersenne.org/various/24036583.htm GIMPS Discovers 41st Mersenne Prime] (press release) | *[http://www.mersenne.org/various/24036583.htm GIMPS Discovers 41st Mersenne Prime] (press release) | ||
| − | [[Category:Mersenne | + | [[Category:Mersenne prime]] |
Revision as of 22:23, 5 February 2019
M41 is the short hand used to refer to the 41st Mersenne prime 224 036 583-1.
[math]\displaystyle{ 2^{24\,036\,583}{-}1 }[/math] was discovered to be prime on 2004-05-15 by Josh Findley, using Prime95 written by George Woltman. At the time of discovery, it was the largest known prime number. The number is 7 816 230 decimal digits long. This prime number was the seventh record prime found by the GIMPS project.
The discovery took 14 days of computing on 2.4 GHz Pentium 4 Windows XP PC.
The new prime was independently verified:
- by Tony Reix of Grenoble, France using half of a Bull NovaScale 5000 HPC running Linux on 16 Itanium II 1.3 GHz CPUs for five days using the Glucas program by Guillermo Ballester Valor of Granada, Spain;
- by Jeff Gilchrist of Elytra Enterprises Inc. in Ottawa, Canada using eleven days of time on a HP rx5670 quad Itanium II 1.5 GHz CPU server at SHARCNET.
External links
- GIMPS Discovers 41st Mersenne Prime (press release)
