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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
31459679629193598 ~1990
31460483629209678 ~1990
31460831251686648110 ~1993
314612812516902499 ~1991
31461851629237038 ~1990
31462583629251678 ~1990
314629318180362079 ~1992
31463123629262478 ~1990
314637433146374319 ~1991
314638072517104579 ~1991
314655292517242339 ~1991
31467083629341678 ~1990
31467203629344078 ~1990
31467893396495451910 ~1994
314679371888076239 ~1991
31468211176221981710 ~1993
31468499629369998 ~1990
31468571629371438 ~1990
31469279629385598 ~1990
31469411629388238 ~1990
31469579629391598 ~1990
31469723629394478 ~1990
31470563629411278 ~1990
314706611888239679 ~1991
31473191629463838 ~1990
Exponent Prime Factor Digits Year
314737331888423999 ~1991
314747331888483999 ~1991
31474931629498638 ~1990
31475243629504878 ~1990
31475459629509198 ~1990
314755792518046339 ~1991
31475771629515438 ~1990
31476383629527678 ~1990
314775771888654639 ~1991
314783099443492719 ~1992
31478399629567998 ~1990
31479083629581678 ~1990
31479419629588398 ~1990
31479491629589838 ~1990
31481039629620798 ~1990
31481711629634238 ~1990
314826313148263119 ~1991
314829772518638179 ~1991
314830033148300319 ~1991
31483691629673838 ~1990
31483979629679598 ~1990
31485383629707678 ~1990
31486859629737198 ~1990
31488371629767438 ~1990
31488911629778238 ~1990
Exponent Prime Factor Digits Year
314891473148914719 ~1991
31489259629785198 ~1990
314898731889392399 ~1991
31489943629798878 ~1990
31491563629831278 ~1990
314918812519350499 ~1991
31491959629839198 ~1990
31494119629882398 ~1990
31495979629919598 ~1990
314967411889804479 ~1991
31496819629936398 ~1990
31496963629939278 ~1990
31497299629945998 ~1990
31498559629971198 ~1990
314989134409847839 ~1992
31499183629983678 ~1990
31499711629994238 ~1990
31499939629998798 ~1990
315000172520001379 ~1991
31500263630005278 ~1990
315003531890021199 ~1991
31500503630010078 ~1990
315009237560221539 ~1992
315014475040231539 ~1992
31501523630030478 ~1990
Exponent Prime Factor Digits Year
31502459630049198 ~1990
31502699630053998 ~1990
315031192520249539 ~1991
31503443630068878 ~1990
31504619630092398 ~1990
315052972520423779 ~1991
31505459630109198 ~1990
315055331890331999 ~1991
31505843630116878 ~1990
31506071630121438 ~1990
31506119630122398 ~1990
315063531890381199 ~1991
31507211630144238 ~1990
31507271630145438 ~1990
31507523630150478 ~1990
31507571630151438 ~1990
31508159630163198 ~1990
31508231630164638 ~1990
315086212520689699 ~1991
31508843630176878 ~1990
31509251630185038 ~1990
31509371630187438 ~1990
31510079630201598 ~1990
315100912520807299 ~1991
315100931890605599 ~1991
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