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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
666197723133239544710 ~2000
6661993632798037324711 ~2003
666218183133243636710 ~2000
666240131133248026310 ~2000
666242663133248532710 ~2000
666247139133249427910 ~2000
666249263133249852710 ~2000
666262301399757380710 ~2001
666277207666277207110 ~2002
666278699133255739910 ~2000
666282971133256594310 ~2000
666289997399773998310 ~2001
666290351133258070310 ~2000
666291239133258247910 ~2000
666322537399793522310 ~2001
666322543666322543110 ~2002
666326429932857000710 ~2002
666345611133269122310 ~2000
666358883133271776710 ~2000
666375119533100095310 ~2001
666382883133276576710 ~2000
666432083133286416710 ~2000
666436223133287244710 ~2000
6664411093198917323311 ~2003
666449939133289987910 ~2000
Exponent Prime Factor Digits Year
666487751133297550310 ~2000
666511427533209141710 ~2001
666512459133302491910 ~2000
666513059133302611910 ~2000
6665422133599327950311 ~2003
666546563133309312710 ~2000
666547391133309478310 ~2000
666549901399929940710 ~2001
666550939666550939110 ~2002
666564443133312888710 ~2000
666570893399942535910 ~2001
666572999133314599910 ~2000
6665764511199837611911 ~2002
666577799133315559910 ~2000
666613273399967963910 ~2001
666640319133328063910 ~2000
666661811133332362310 ~2000
666683159133336631910 ~2000
666718763133343752710 ~2000
666722047666722047110 ~2002
666727283133345456710 ~2000
666796859133359371910 ~2000
666796961400078176710 ~2001
6668040591600329741711 ~2003
666813671133362734310 ~2000
Exponent Prime Factor Digits Year
666857393400114435910 ~2001
666922103133384420710 ~2000
666937223133387444710 ~2000
666959231133391846310 ~2000
666970763133394152710 ~2000
666977879133395575910 ~2000
666988979133397795910 ~2000
667010077400206046310 ~2001
667047743133409548710 ~2000
667063283133412656710 ~2000
667066979133413395910 ~2000
667086083133417216710 ~2000
6670875131067340020911 ~2002
667087579667087579110 ~2002
667094063133418812710 ~2000
667124021400274412710 ~2001
667135151133427030310 ~2000
667135523133427104710 ~2000
667150859533720687310 ~2001
667171931133434386310 ~2000
667172117533737693710 ~2001
667184051133436810310 ~2000
667188521400313112710 ~2001
667188713400313227910 ~2001
667193363133438672710 ~2000
Exponent Prime Factor Digits Year
667197071133439414310 ~2000
667205213400323127910 ~2001
667205303133441060710 ~2000
667210499133442099910 ~2000
667214819133442963910 ~2000
667221671133444334310 ~2000
667229063133445812710 ~2000
667232903133446580710 ~2000
667239803133447960710 ~2000
667243091133448618310 ~2000
6672474232135191753711 ~2003
667278191133455638310 ~2000
667283759533827007310 ~2001
667294343133458868710 ~2000
667294571133458914310 ~2000
6673217032135429449711 ~2003
6673232297474020164911 ~2004
667326659133465331910 ~2000
667337701400402620710 ~2001
667354679533883743310 ~2001
6673580772669432308111 ~2003
667363019133472603910 ~2000
667379519133475903910 ~2000
667390739133478147910 ~2000
667467071133493414310 ~2000
3317
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25-05-04