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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
312938362587677 ~1982
3129601187776078 ~1983
3129611563329998 ~1984
31298035320665119 ~1986
3129827250386178 ~1983
3129859312985918 ~1983
3129947250395778 ~1983
3129953751188738 ~1984
3130019563403438 ~1984
3130297500847538 ~1984
313055962611197 ~1982
3130619563511438 ~1984
31306271502700979 ~1985
3130819313081918 ~1983
313087162617437 ~1982
3130901187854078 ~1983
3130993187859598 ~1983
3130997187859838 ~1983
3131021250481698 ~1983
3131041187862478 ~1983
3131113187866798 ~1983
313112362622477 ~1982
31311731252469219 ~1985
3131237187874238 ~1983
3131321187879278 ~1983
Exp. Prime Factor Digits Year
313133962626797 ~1982
3131441250515298 ~1983
313148362629677 ~1982
3131551563679198 ~1984
313160362632077 ~1982
313169962633997 ~1982
313187962637597 ~1982
31319179708942719 ~1987
313226362645277 ~1982
3132331313233118 ~1983
3132407250592578 ~1983
313244362648877 ~1982
3132499313249918 ~1983
31325292192770319 ~1986
313265962653197 ~1982
3132707250616578 ~1983
3132737438583198 ~1984
31327991503743539 ~1985
3132823501251698 ~1984
3132917187975038 ~1983
3132977250638178 ~1983
3133019751924578 ~1984
3133057187983438 ~1983
3133177187990638 ~1983
313321162664237 ~1982
Exp. Prime Factor Digits Year
3133279563990238 ~1984
3133337250666978 ~1983
3133397250671778 ~1983
3133441689357038 ~1984
313346362669277 ~1982
31337211942907039 ~1985
3133751250700098 ~1983
3133891313389118 ~1983
3134023752165538 ~1984
313406362681277 ~1982
313412362682477 ~1982
3134213188052798 ~1983
3134213438789838
3134347501495538 ~1984
3134447564200478 ~1984
3134519250761538 ~1983
3134557188073438 ~1983
3134633280863116910 ~1988
3134797501567538 ~1984
3134801288401692110 ~1988
313490362698077 ~1982
3135071250805698 ~1983
3135403501664498 ~1984
31354693762562819 ~1986
3135571313557118 ~1983
Exp. Prime Factor Digits Year
313562362712477 ~1982
313631962726397 ~1982
3136457250916578 ~1983
3136531564575598 ~1984
3136571564582798 ~1984
313663162732637 ~1982
3136649250931938 ~1983
3136667250933378 ~1983
3136877250950178 ~1983
3136933188215998 ~1983
3137117941135118 ~1985
3137257188235438 ~1983
3137371313737118 ~1983
3137389690225598 ~1984
313739962747997 ~1982
3137521188251278 ~1983
3137573439260238 ~1984
313766362753277 ~1982
3137669251013538 ~1983
3137747251019778 ~1983
3137747753059298
3137749753059778 ~1984
3137837188270238 ~1983
3137941188276478 ~1983
313799962759997 ~1982
529
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26-03-15