РњРµРЅСЏ Р·РѕРІСѓС‚ Р›Р°СЂРёРЅ РђР»РµРєСЃР°РЅРґСЂ.
РЇ СЂР°Рґ РїСЂРёРІРµС‚СЃС‚РІРѕРІР°С‚СЊ РІР°СЃ РЅР° РѕС„РёС†РёР°Р»СЊРЅРѕРј РІРµР±-СЃР°Р№С‚Рµ РєРѕРјР°РЅРґС‹ ComputerraRU — СѓС‡Р°СЃС‚РЅРёРєР° РјРµР¶РґСѓРЅР°СЂРѕРґРЅРѕРіРѕ РїСЂРѕРµРєС‚Р° СЂР°СЃРїСЂРµРґРµР»РµРЅРЅС‹С… РІС‹С‡РёСЃР»РµРЅРёР№ GIMPS!
РЇ Р·Р°РїСѓСЃС‚РёР» РєРѕРјР°РЅРґСѓ ComputerraRU 15 Р»РµС‚ РЅР°Р·Р°Рґ. РћС„РёС†РёР°Р»СЊРЅР°СЏ РґР°С‚Р° — 1 Р°РїСЂРµР»СЏ 2001 РіРѕРґР° (РїРµСЂРІС‹Р№ СѓС‡Р°СЃС‚РЅРёРє — Yxine Рё РѕРґРёРЅ РїСЂРѕСЃС‚РµРЅСЊРєРёР№ РєРѕРјРїСЊСЋС‚РµСЂ Pentium 4 РЅР° 100/120 GHz)...
Р—Р° СЌС‚Рѕ РІСЂРµРјСЏ Рє РєРѕРјР°РЅРґРµ РїСЂРёСЃРѕРµРґРёРЅРёР»РёСЃСЊ Р±РѕР»РµРµ 70 СѓС‡Р°СЃС‚РЅРёРєРѕРІ Рё Р±РѕР»РµРµ 245 РєРѕРјРїСЊСЋС‚РµСЂРѕРІ.
РћР±РЅРѕРІР»РµРЅРѕ 19.03.2016 02:00:00
24. Urkaine (388 354,559 GHz-days) — 20 468,657 GHz-days РѕС‚ РЅР°СЃ
26. Ozzie Prime (343 013,525 GHz-days) — 24 872,377 GHz-days РґРѕ РЅР°СЃ
7 СЏРЅРІР°СЂСЏ 2016 РіРѕРґР° вЂ” РїСЂРѕРµРєС‚ GIMPS РѕС‚РјРµС‡Р°РµС‚ СЃРІРѕСЋ 20-С‚СѓСЋ РіРѕРґРѕРІС‰РёРЅСѓ РЅР°С…РѕР¶РґРµРЅРёРµРј РѕС‡РµСЂРµРґРЅРѕРіРѕ (СЃР°РјРѕРіРѕ Р±РѕР»СЊС€РѕРіРѕ РЅР° РґР°РЅРЅС‹Р№ РјРѕРјРµРЅС‚) С‡РёСЃР»Р° РњРµСЂСЃРµРЅРЅР°, 274 207 281-1. РљРµСЂС‚РёСЃ РљСѓРїРµСЂ (Curtis Cooper), one of many thousands of GIMPS volunteers, used one of his university's computers to make the find. The prime number, also known as M74207281, is calculated by multiplying together 74,207,281 twos then subtracting one. It has 22,338,618 digits -- almost 5 million digits longer than the previous record prime number.
While prime numbers are important for cryptography, this prime is too large to currently be of practical value. However, the search itself does have several practical benefits. Historically, searching for Mersenne primes has been used as a test for computer hardware. Earlier this month, GIMPS' prime95 software and members of a German computing community uncovered a flaw in Intel's latest Skylake CPUs. Prime95 has also discovered hardware problems in many individual's PCs.
To prove there were no errors in the prime discovery process, the prime was independently verified using both different programs and different hardware. Andreas Hoglund and David Stanfill each verified the prime using the CUDALucas software running on NVidia Titan GPUs. David Stanfill also verified using ClLucas on an AMD Fury GPU. Finally, Serge Batalov ran Ernst Mayer's MLucas software on a 18-core server to verify the prime.
Dr. Cooper is a professor at the University of Central Missouri. This is the fourth record prime for Dr. Cooper and his university. Their first record prime was discovered in 2005, eclipsed by their second record in 2006. Dr. Cooper lost the record in 2008, but reclaimed it in 2013, and improved the record with this new prime. The primality proof took a month of computing on a PC with an Intel I7-4790 CPU. Dr. Cooper and the University of Central Missouri is the largest contributor of CPU time to the GIMPS project. The discovery is eligible for a $3,000 GIMPS research discovery award.
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, PrimeNet creator Scott Kurowski, Primenet administrator Aaron Blosser, thank and congratulate all the GIMPS members that made this discovery possible. To recognize all those that contributed to this discovery, official credit goes to Cooper, Woltman, Kurowski, Blosser, et al.
The new prime number is a member of a special class of extremely rare prime numbers known as Mersenne primes. Mersenne primes were named for the French monk Marin Mersenne, who studied these numbers more than 350 years ago. There are only 49 known Mersenne primes. GIMPS, founded in 1996, has discovered the last 15 Mersenne primes. Volunteers download a free program to search for these primes with a cash award offered to anyone lucky enough to find a new prime. Prof. Chris Caldwell maintains an authoritative web site on the largest known primes as well an excellent history of Mersenne primes.
РРЅС‚РµСЂРµСЃРЅС‹Р№ С„Р°РєС‚ РІ С‚РѕРј, С‡С‚Рѕ, Dr. Cooper's computer reported the prime to the server on September 17, 2015. However, a bug prevented the email notification from being sent. The new prime remained unnoticed until routine database maintenance took place months later. The official discovery date is the day a human took note of the result. This is in keeping with tradition as M4253 is considered never to have been the largest known prime number because Alexander Hurwitz in 1961 read his computer printout backwards and saw M4423 was prime seconds before seeing that M4253 was also prime.
Р’С‹ РјРѕР¶РµС‚Рµ СѓР·РЅР°С‚СЊ РЅРµРјРЅРѕРіРѕ Р±РѕР»СЊС€Рµ РёР· РЅРµР±РѕР»СЊС€РѕРіРѕ СЃС‚РµРЅРґР°Рї-РёРЅС‚РµСЂРІСЊСЋ СЃ РљРµСЂС‚РёСЃРѕРј РљСѓРїРµСЂРѕРј, РєРѕС‚РѕСЂРѕРµ РїРѕСЃРІРµС‰РµРЅРѕ РѕС‚РєСЂС‹С‚РёСЋ:
РћР±РЅРѕРІР»РµРЅРѕ 19.03.2016 02:00:00
|n/a||0||1 373 573||20 891 853||20 891 916|
|F||8 437||2 460 308||8 178 675||8 187 067|
|64||4||11 355||11 355||11 359|
|65||1||4 051||4 051||4 052|
|66||0||161 637||1 850 903||1 850 903|
|67||0||328 028||10 316 401||10 316 401|
|68||0||74 798||4 118 317||4 118 317|
|69||1||43 651||292 605||292 606|
|70||0||76 422||2 565 870||2 565 870|