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Difference between revisions of "M40"
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| − | '''M40''' is the short hand used to refer to the 40th [[Mersenne prime]]. Specifically it is <math>2^{ | + | '''M40''' is the short hand used to refer to the 40th [[Mersenne prime]]. Specifically it is <math>2^{20\,996\,011}-1</math>. This number was discovered to be [[prime]] on 2003-11-17 by [[Michael Shafer]], using [[Prime95]] written by [[George Woltman]]. The number is [http://www.mersenneforum.org/txt/40.txt 6 320 430 decimal digits] long. This prime number was the sixth record prime found by the [[GIMPS]] project. |
The discovery took 19 days of computation on a 2 GHz Pentium 4 Dell Dimension PC at a Michigan State University lab. | The discovery took 19 days of computation on a 2 GHz Pentium 4 Dell Dimension PC at a Michigan State University lab. | ||
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==External links== | ==External links== | ||
*[https://www.mersenne.org/primes/?press=M20996011 GIMPS Discovers 40th Mersenne Prime] (press release) | *[https://www.mersenne.org/primes/?press=M20996011 GIMPS Discovers 40th Mersenne Prime] (press release) | ||
| − | [[Category:Mersenne | + | [[Category:Mersenne prime]] |
Revision as of 22:32, 5 February 2019
M40 is the short hand used to refer to the 40th Mersenne prime. Specifically it is [math]\displaystyle{ 2^{20\,996\,011}-1 }[/math]. This number was discovered to be prime on 2003-11-17 by Michael Shafer, using Prime95 written by George Woltman. The number is 6 320 430 decimal digits long. This prime number was the sixth record prime found by the GIMPS project.
The discovery took 19 days of computation on a 2 GHz Pentium 4 Dell Dimension PC at a Michigan State University lab.
It was independently verified by Guillermo Ballester Valor of Granada, Spain (author of program Glucas) using twelve days of time on a 1.4GHz quad Itanium II server at the HP Test Drive center, and by Ernst Mayer of Cupertino, California (author of program Mlucas) using three weeks of time on a 1 GHz HP Alpha workstation.
External links
- GIMPS Discovers 40th Mersenne Prime (press release)
