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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
310157572481260579 ~1991
31016291620325838 ~1989
31016591620331838 ~1989
310170131861020799 ~1991
310172518064485279 ~1992
31017743620354878 ~1989
31017923620358478 ~1989
310181113101811119 ~1991
31018199620363998 ~1989
31018343620366878 ~1989
31018391620367838 ~1989
31018703620374078 ~1989
310196272481570179 ~1991
31019699620393998 ~1989
31019783620395678 ~1989
31020623620412478 ~1989
31020659620413198 ~1989
31020779620415598 ~1989
310208277444998499 ~1992
31021163620423278 ~1989
31021283620425678 ~1989
31021399130289875910 ~1993
31021559620431198 ~1989
31021883620437678 ~1989
31022291620445838 ~1989
Exponent Prime Factor Digits Year
310225492481803939 ~1991
31022891620457838 ~1989
31023071620461438 ~1989
31023659620473198 ~1989
31024139620482798 ~1989
310243131861458799 ~1991
31024391620487838 ~1989
31024811620496238 ~1989
31024859620497198 ~1989
31024979620499598 ~1989
31025279620505598 ~1989
31025339620506798 ~1989
31025783620515678 ~1989
31025903620518078 ~1989
310261611861569679 ~1991
310268694343761679 ~1992
31027343620546878 ~1989
31028531620570638 ~1989
31028603620572078 ~1989
31028951620579038 ~1989
310291816826419839 ~1992
310292092482336739 ~1991
31029431620588638 ~1989
31029731620594638 ~1989
310317297447614979 ~1992
Exponent Prime Factor Digits Year
31032563620651278 ~1989
31032779620655598 ~1989
31033391620667838 ~1989
31033643620672878 ~1989
31034051620681038 ~1989
31034183620683678 ~1989
31034603620692078 ~1989
31034917217244419110 ~1993
31034963620699278 ~1989
31035083620701678 ~1989
31035923620718478 ~1989
31036079620721598 ~1989
31036199620723998 ~1989
31036331620726638 ~1989
310367113103671119 ~1991
310368292482946339 ~1991
31037159620743198 ~1989
31037183620743678 ~1989
31037399620747998 ~1989
31037663620753278 ~1989
31037999620759998 ~1989
310390331862341999 ~1991
31040231620804638 ~1989
310408192483265539 ~1991
31041071620821438 ~1989
Exponent Prime Factor Digits Year
31041203620824078 ~1989
310412872483302979 ~1991
31041539620830798 ~1989
31042103620842078 ~1989
31042163620843278 ~1989
310425731862554399 ~1991
31042631620852638 ~1989
310429371862576239 ~1991
31043339620866798 ~1989
31043459620869198 ~1989
310444011862664079 ~1991
31044743620894878 ~1989
31044899620897998 ~1989
31044971620899438 ~1989
31045643620912878 ~1989
310458771862752639 ~1991
31046759620935198 ~1989
31047143620942878 ~1989
31047743620954878 ~1989
310478515588613199 ~1992
31048211620964238 ~1989
310483731862902399 ~1991
31049159620983198 ~1989
31049339620986798 ~1989
31049411620988238 ~1989
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25-07-08