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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.
Exp. Prime Factor Digits Year
7540751603260098
7540763150815278 ~1985
75407692262230719 ~1988
7540997452459838 ~1986
7541057452463438 ~1986
7541441452486478 ~1986
7541717603337378 ~1986
75418398446859699 ~1989
7542077452524638 ~1986
7542253452535198 ~1986
7542341452540478 ~1986
7542461126713344910 ~1989
7542541452552478 ~1986
7542599150851998 ~1985
7542719150854398 ~1985
7542851150857038 ~1985
7543001452580078 ~1986
7543097603447778 ~1986
75431471357766479 ~1987
7543351754335118 ~1986
7543439150868798 ~1985
7543499150869998 ~1985
7543561452613678 ~1986
75438071207009139 ~1987
7543859150877198 ~1985
Exp. Prime Factor Digits Year
7544063150881278 ~1985
7544291150885838 ~1985
7544443754444318 ~1986
7544819150896398 ~1985
7544857452691438 ~1986
7545113452706798 ~1986
7545563150911278 ~1985
7545899603671938 ~1986
7546151150923038 ~1985
7546153452769198 ~1986
7546183754618318 ~1986
7546271150925438 ~1985
75464895282542319 ~1988
7546499150929998 ~1985
7546751603740098 ~1986
7546991150939838 ~1985
7547159150943198 ~1985
7547411150948238 ~1985
7547429603794338 ~1986
75476331056668639 ~1987
7547843150956878 ~1985
7548011150960238 ~1985
7548067140394046310 ~1989
7548181452890878 ~1986
7548193452891598 ~1986
Exp. Prime Factor Digits Year
7548311150966238 ~1985
75484612415507539 ~1988
7548539150970798 ~1985
7548659150973198 ~1985
7548683150973678 ~1985
7548839150976798 ~1985
7549127603930178 ~1986
7549271150985438 ~1985
7549393452963598 ~1986
7549537452972238 ~1986
7549637452978238 ~1986
75497212415910739 ~1988
7549799150995998 ~1985
7550113453006798 ~1986
7550351604028098 ~1986
7550381453022878 ~1986
7550563755056318 ~1986
7550573453034398 ~1986
7550579151011598 ~1985
7550579604046338
7550591151011838 ~1985
7550801453048078 ~1986
7551133453067998 ~1986
7551209604096738 ~1986
7551217453073038 ~1986
Exp. Prime Factor Digits Year
75512633171530479 ~1988
7551541453092478 ~1986
7551671151033438 ~1985
7551877453112638 ~1986
7551989604159138 ~1986
7552043151040878 ~1985
7552067604165378 ~1986
75523511208376179 ~1987
7552463151049278 ~1985
7552511151050238 ~1985
7552691151053838 ~1985
7552793453167598 ~1986
75528491661626799 ~1987
7553603151072078 ~1985
7553921453235278 ~1986
7554083151081678 ~1985
7554251151085038 ~1985
7554353453261198 ~1986
7555043151100878 ~1985
7555319151106398 ~1985
75555295439980899 ~1988
7555679604454338 ~1986
7555741453344478 ~1986
75558834986882799 ~1988
7556093453365598 ~1986
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