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Difference between revisions of "M38"
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| − | '''M38''' is the short hand used to refer to the 38th [[Mersenne prime]]. Specifically it is < | + | {{InfoboxMersennePrime |
| + | | title=M38 | ||
| + | | rank=38 | ||
| + | | nvalue=6972593 | ||
| + | | top5000id=2 | ||
| + | | digits=2098960 | ||
| + | | number=437075744127...142924193791 | ||
| + | | pdigits=4197919 | ||
| + | | discovery=1999-06-01 | ||
| + | | discoverer=[[Nayan Hajratwala]] | ||
| + | | foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 350 MHz Pentium II IBM Aptiva | ||
| + | | credits=[[George Woltman]] et. al.;[[GIMPS]] | ||
| + | }} | ||
| + | '''M38''' is the short hand used to refer to the 38th [[Mersenne prime]]. Specifically it is 2<sup>{{Num|6972593}}</sup>-1. This number was discovered to be [[prime]] on 1999-06-01 by [[Nayan Hajratwala]], using [[Prime95]] written by [[George Woltman]]. The number is [http://www.mersenneforum.org/txt/38.txt {{Num|2098960}} decimal digits] long. | ||
| − | The prime was independently verified by David Willmore using [[Mlucas]] program written by [[Ernst Mayer]] using two weeks of computer time donated by Aerial Communications on a 500 MHz DEC Alpha workstation. | + | The prime was independently verified by David Willmore using [[Mlucas]] program written by [[Ernst W. Mayer]] using two weeks of computer time donated by Aerial Communications on a 500 MHz DEC Alpha workstation. |
This prime number was the fourth record prime found by the [[GIMPS]] project. | This prime number was the fourth record prime found by the [[GIMPS]] project. | ||
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*[https://www.mersenne.org/primes/?press=M6972593 GIMPS Discovers 38th Mersenne Prime] (press release) | *[https://www.mersenne.org/primes/?press=M6972593 GIMPS Discovers 38th Mersenne Prime] (press release) | ||
*[http://primes.utm.edu/notes/6972593/PressAnnouncement.html GIMPS Finds First Multi-Million-Digit Prime, Stakes Claim to $50,000 EFF Award] | *[http://primes.utm.edu/notes/6972593/PressAnnouncement.html GIMPS Finds First Multi-Million-Digit Prime, Stakes Claim to $50,000 EFF Award] | ||
| − | [[Category:Mersenne | + | [[Category:Mersenne prime]] |
Latest revision as of 20:11, 11 August 2024
| M38 | |
|---|---|
| Prime class : | |
| Type : | Mersenne prime |
| Formula : | Mn = 2n - 1 |
| Prime data : | |
| Rank : | 38 |
| n-value : | 6,972,593 |
| Number : | 437075744127...142924193791 |
| Digits : | 2,098,960 |
| Perfect number : | 26,972,592 • (26,972,593-1) |
| Digits : | 4,197,919 |
| Discovery data : | |
| Date of Discovery : | 1999-06-01 |
| Discoverer : | Nayan Hajratwala |
| Found with : | Lucas-Lehmer test / Prime95 on 350 MHz Pentium II IBM Aptiva |
| Credits : | George Woltman et. al. GIMPS |
M38 is the short hand used to refer to the 38th Mersenne prime. Specifically it is 26,972,593-1. This number was discovered to be prime on 1999-06-01 by Nayan Hajratwala, using Prime95 written by George Woltman. The number is 2,098,960 decimal digits long.
The prime was independently verified by David Willmore using Mlucas program written by Ernst W. Mayer using two weeks of computer time donated by Aerial Communications on a 500 MHz DEC Alpha workstation.
This prime number was the fourth record prime found by the GIMPS project.
