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[新闻] GIMPS 发现了第48个梅森素数, M(57885161)!

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发表于 2013-2-5 11:39:11 | 显示全部楼层 |阅读模式
本帖最后由 dabaichi 于 2014-2-26 06:06 编辑

2013年1月25日,GIMPS又发现了一个新梅森素数。这个素数是2^57885161-1,简写为M(57885161),位数17425170。这个素数是第48个梅森素数,目前已知的最大素数,也是GIMPS发现的第14个梅森素数。它的发现者又是美国中密苏里大学的Curtis Cooper(这个素数是这所大学发现的第3个梅森素数)。

在此同时恭喜并感谢所有GIMPS的参与者!

Mersenneforum 上的讨论帖:http://www.mersenneforum.org/showthread.php?t=17704
官方报道:GIMPS Project Discovers Largest Known Prime Number, 2^57,885,161-1
GIMPS首页:http://www.mersenne.org/

GIMPS首页上的公告原文:
Largest Known Prime, 48th Known Mersenne Prime Found!!
On January 25th, prolific GIMPS contributor Dr. Curtis Cooper discovered the 48th known Mersenne prime, 2^57,885,161-1, a 17,425,170 digit number. This find shatters the previous record prime number of 12,978,189 digits, also a GIMPS prime, discovered over 4 years ago. The discovery is eligible for a $3,000 GIMPS research discovery award.
Dr. Cooper is a professor at the University of Central Missouri.  This is the third record prime for Dr. Cooper and his University. Their first  record prime was discovered in 2005, eclipsed by their second record in 2006.  Computers at UCLA broke that record in 2008. UCLA held the record until Dr. Cooper and the University of Central Missouri reclaimed the  world record with this discovery.
While Dr. Cooper's computer found the record prime, the discovery would not have been possible without all the GIMPS volunteers that sifted through numerous non-prime candidates.  GIMPS founder George Woltman and Primenet creator Scott Kurowski thank and congratulate all the GIMPS members that made this discovery possible.
Mersenne primes are extremely rare, only 48 are known.   GIMPS, founded in 1996, has discovered the last 14 Mersenne primes. Mersenne primes were named for the French monk Marin Mersenne, who studied these numbers more than 350 years ago. Chris Caldwell maintains an authoritative web site on  the history of Mersenne primes as well as the largest known primes.
The primality proof took 39 days of non-stop computing on one of the University of Central Missouri's PCs. To establish there were no errors during the proof, the new prime was independently verified using different programs running on different hardware. Jerry Hallett verified the prime using CUDALucas running on a NVidia GPU in 3.6 days. Dr. Jeff Gilchrist verified the find using the standard GIMPS software on an Intel i7 CPU in 4.5 days. Finally, Serge Batalov ran Ernst Mayer's MLucas software on a 32-core server in 6 days (resource donated by Novartis IT group) to verify the new prime.
You can read a little more in the short  press release.

M(57885161)被证明是素数前的试分解结果报告 (Exponent Status), 可用IE浏览器打开: M(57885161) .mht (271.36 KB, 下载次数: 3583)


官方消息公布前Milestones的截图:
January 25, 2013: Prime M(xxxxxxxx) discovered!!

Milestones before release.PNG
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发表于 2013-2-5 14:07:51 | 显示全部楼层
等好消息!~~~
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 楼主| 发表于 2013-2-5 23:09:42 | 显示全部楼层
已更新官方报道。
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发表于 2013-2-6 17:46:33 | 显示全部楼层
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发表于 2013-2-6 22:36:30 | 显示全部楼层
又一个新的梅森素数~
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发表于 2013-2-6 23:20:19 | 显示全部楼层
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