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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
42894623857892478 ~1991
428946231029470952111
42896279857925598 ~1991
42896351857927038 ~1991
428968793431750339 ~1992
42896939857938798 ~1991
428980612573883679 ~1992
42898763857975278 ~1991
42898787102957088910 ~1993
428992313431938499 ~1992
42899471857989438 ~1991
42900491858009838 ~1991
42901283858025678 ~1991
42902737231674779910 ~1994
429028913432231299 ~1992
42903863858077278 ~1991
429047393432379139 ~1992
429049877722897679 ~1993
42905171858103438 ~1991
42905651858113038 ~1991
42906179858123598 ~1991
42906491858129838 ~1991
42906551858131038 ~1991
429068332574409999 ~1992
429072372574434239 ~1992
Exponent Prime Factor Digits Year
42909653240294056910 ~1994
42910403858208078 ~1991
429106612574639679 ~1992
42911783858235678 ~1991
42912179858243598 ~1991
42912251858245038 ~1991
429125572574753439 ~1992
42912899858257998 ~1991
42912911858258238 ~1991
42913943858278878 ~1991
429143572574861439 ~1992
42915839858316798 ~1991
42917351858347038 ~1991
42918413266094160710 ~1994
42919139858382798 ~1991
429195532575173199 ~1992
42920651858413038 ~1991
42923579858471598 ~1991
42924131858482638 ~1991
429241373433930979 ~1992
429246412575478479 ~1992
42924851858497038 ~1991
42925079858501598 ~1991
42925871858517438 ~1991
429261616868185779 ~1993
Exponent Prime Factor Digits Year
42926711858534238 ~1991
42927299858545998 ~1991
42927551858551038 ~1991
42927671111611944710 ~1993
42928019858560398 ~1991
42928019103027245710
42928631858572638 ~1991
42928871858577438 ~1991
42929423858588478 ~1991
42930311858606238 ~1991
429318434293184319 ~1992
42931943858638878 ~1991
429321773434574179 ~1992
42932243858644878 ~1991
429332812575996879 ~1992
42933623858672478 ~1991
42934691858693838 ~1991
429357316869716979 ~1993
42935771858715438 ~1991
42936083858721678 ~1991
42936251858725038 ~1991
429365332576191999 ~1992
42937679858753598 ~1991
429382493435059939 ~1992
42938411858768238 ~1991
Exponent Prime Factor Digits Year
42938579858771598 ~1991
42939359858787198 ~1991
42939503858790078 ~1991
42939503111642707910
429404812576428879 ~1992
429409939447018479 ~1993
429411893435295139 ~1992
42941399858827998 ~1991
42942923858858478 ~1991
42944483858889678 ~1991
42946223858924478 ~1991
429468773435750179 ~1992
42948133481019089710 ~1995
42948551858971038 ~1991
429486293435890339 ~1992
42949559858991198 ~1991
429512693436101539 ~1992
42951659859033198 ~1991
42951803859036078 ~1991
42952223859044478 ~1991
429546972577281839 ~1992
42956363859127278 ~1991
42956723859134478 ~1991
42957179859143598 ~1991
42957311859146238 ~1991
1959
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25-05-04