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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
7531451150629038 ~1985
7531871150637438 ~1985
75325071958451839 ~1987
7532537602602978 ~1986
7532579150651598 ~1985
7532771150655438 ~1985
7532773451966398 ~1986
7533131150662638 ~1985
7533181451990878 ~1986
75331994821247379 ~1988
7533221602657698 ~1986
75335711356042799 ~1987
7533611150672238 ~1985
7533731150674638 ~1985
7533751753375118 ~1986
7533781452026878 ~1986
75338591808126179 ~1987
7533947602715778 ~1986
7534367602749378 ~1986
7534463150689278 ~1985
7534511150690238 ~1985
7534817452089038 ~1986
75351671356330079 ~1987
7535243150704878 ~1985
7535417602833378 ~1986
Exp. Prime Factor Digits Year
7535459150709198 ~1985
7535519602841538 ~1986
7535701452142078 ~1986
7535771602861698 ~1986
75360311205764979 ~1987
7536443150728878 ~1985
75370376481851839 ~1989
7537067538146583910 ~1991
7537331150746638 ~1985
7537559150751198 ~1985
7537703150754078 ~1985
7537763150755278 ~1985
7537861452271678 ~1986
7538093452285598 ~1986
7538423150768478 ~1985
7538501452310078 ~1986
7538519150770398 ~1985
7538543150770878 ~1985
7538759150775198 ~1985
7538849603107938 ~1986
75390891809381379 ~1987
7539341603147298 ~1986
7539397452363838 ~1986
7539743150794878 ~1985
75399191357185439 ~1987
Exp. Prime Factor Digits Year
7540199150803998 ~1985
75402371809656899 ~1987
7540451150809038 ~1985
7540499150809998 ~1985
75405179048620419 ~1989
7540751150815038 ~1985
7540751603260098
7540763150815278 ~1985
75407692262230719 ~1988
7540997452459838 ~1986
7540997603279778
7541057452463438 ~1986
7541441452486478 ~1986
7541717603337378 ~1986
75418398446859699 ~1989
7542047603363778 ~1986
7542077452524638 ~1986
7542253452535198 ~1986
7542341452540478 ~1986
7542461126713344910 ~1989
7542541452552478 ~1986
7542599150851998 ~1985
7542629603410338 ~1986
75426291055968079
7542719150854398 ~1985
Exp. Prime Factor Digits Year
7542851150857038 ~1985
7543001452580078 ~1986
7543097603447778 ~1986
75431471357766479 ~1987
7543181603454498 ~1986
7543351754335118 ~1986
7543439150868798 ~1985
7543499150869998 ~1985
7543561452613678 ~1986
75438071207009139 ~1987
7543859150877198 ~1985
7544063150881278 ~1985
7544291150885838 ~1985
7544443754444318 ~1986
75445191358013439 ~1987
7544819150896398 ~1985
7544857452691438 ~1986
7545113452706798 ~1986
7545497603639778 ~1986
7545563150911278 ~1985
7545899603671938 ~1986
7546151150923038 ~1985
7546153452769198 ~1986
7546183754618318 ~1986
7546271150925438 ~1985
863
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25-04-13