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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
996996503199399300710 ~2001
9970364331395851006311 ~2003
997048097598228858310 ~2002
997093763199418752710 ~2001
997144259199428851910 ~2001
997152659199430531910 ~2001
997158143199431628710 ~2001
9971779671794920340711 ~2004
997179959199435991910 ~2001
997197791199439558310 ~2001
997230173598338103910 ~2002
9972662111595625937711 ~2004
997273103199454620710 ~2001
997299119199459823910 ~2001
997324799199464959910 ~2001
997351559199470311910 ~2001
997352219797881775310 ~2003
997363043199472608710 ~2001
997364917598418950310 ~2002
997400011997400011110 ~2003
997408871199481774310 ~2001
997416157598449694310 ~2002
9974359977979487976111 ~2005
997445483199489096710 ~2001
997475639199495127910 ~2001
Exponent Prime Factor Digits Year
997486331199497266310 ~2001
997500743199500148710 ~2001
997593599199518719910 ~2001
997610111199522022310 ~2001
997627913598576747910 ~2002
997631483199526296710 ~2001
997687451199537490310 ~2001
99769643915164985872912 ~2006
997733963199546792710 ~2001
997740431199548086310 ~2001
997749359199549871910 ~2001
997766831199553366310 ~2001
997828103199565620710 ~2001
997857851199571570310 ~2001
9978775936985143151111 ~2005
997935641798348512910 ~2003
997940759199588151910 ~2001
997993583199598716710 ~2001
998009543199601908710 ~2001
9980380036587050819911 ~2005
998068139199613627910 ~2001
998111713598867027910 ~2002
998124563199624912710 ~2001
998156777598894066310 ~2002
998161271199632254310 ~2001
Exponent Prime Factor Digits Year
998206271199641254310 ~2001
99821083161689429355912 ~2007
998245483998245483110 ~2003
998254703199650940710 ~2001
998274143199654828710 ~2001
998285243199657048710 ~2001
998290259199658051910 ~2001
998297383998297383110 ~2003
998366399199673279910 ~2001
998484023199696804710 ~2001
998486903199697380710 ~2001
9985032911597605265711 ~2004
998520359199704071910 ~2001
998547551199709510310 ~2001
998565131199713026310 ~2001
998569421798855536910 ~2003
998615543199723108710 ~2001
998618839998618839110 ~2003
998635559199727111910 ~2001
998681483199736296710 ~2001
998682437599209462310 ~2002
998723639199744727910 ~2001
998727683199745536710 ~2001
998744303199748860710 ~2001
998773333599263999910 ~2002
Exponent Prime Factor Digits Year
998779037599267422310 ~2002
998800079199760015910 ~2001
998818871199763774310 ~2001
998833991199766798310 ~2001
998856623199771324710 ~2001
998870459199774091910 ~2001
998889653599333791910 ~2002
99893473316582316567912 ~2006
999014603199802920710 ~2001
999049957599429974310 ~2002
999159611199831922310 ~2001
9992031371598725019311 ~2004
999213431199842686310 ~2001
999262871199852574310 ~2001
999277121599566272710 ~2002
999365351199873070310 ~2001
999370979199874195910 ~2001
999395141799516112910 ~2003
999431183199886236710 ~2001
999437951199887590310 ~2001
999438059199887611910 ~2001
999443639199888727910 ~2001
999453503199890700710 ~2001
999500531199900106310 ~2001
999561191199912238310 ~2001
3726
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25-11-17