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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
31001339620026798 ~1990
31001423620028478 ~1990
310015131860090799 ~1991
310019473100194719 ~1991
31002239620044798 ~1990
310027912480223299 ~1991
31004111620082238 ~1990
310047112480376899 ~1991
31004783620095678 ~1990
31004843620096878 ~1990
31005599620111998 ~1990
31005743620114878 ~1990
310061099921954899 ~1992
310062531860375199 ~1991
310063211860379279 ~1991
31006763620135278 ~1990
31006931620138638 ~1990
31007219620144398 ~1990
310075514961208179 ~1992
310079572480636579 ~1991
310081216821786639 ~1992
31008251620165038 ~1990
31008431620168638 ~1990
310085811860514879 ~1991
310085812480686499
Exponent Prime Factor Digits Year
31009019620180398 ~1990
31009031620180638 ~1990
31009103620182078 ~1990
31009487148845537710 ~1993
31009523620190478 ~1990
31009883620197678 ~1990
31009943620198878 ~1990
31011479620229598 ~1990
31011899620237998 ~1990
31012391620247838 ~1990
31012451620249038 ~1990
31012799620255998 ~1990
31014083620281678 ~1990
31014299620285998 ~1990
31014551620291038 ~1990
31014563620291278 ~1990
31014611620292238 ~1990
310147211860883279 ~1991
31015499620309998 ~1990
31015643620312878 ~1990
310157572481260579 ~1991
31016291620325838 ~1990
31016591620331838 ~1990
310170131861020799 ~1991
310172518064485279 ~1992
Exponent Prime Factor Digits Year
31017743620354878 ~1990
31017923620358478 ~1990
310181113101811119 ~1991
31018199620363998 ~1990
31018343620366878 ~1990
31018391620367838 ~1990
31018703620374078 ~1990
310196272481570179 ~1991
31019699620393998 ~1990
31019783620395678 ~1990
31020623620412478 ~1990
31020659620413198 ~1990
31020779620415598 ~1990
310208277444998499 ~1992
31021163620423278 ~1990
31021283620425678 ~1990
31021399130289875910 ~1993
31021559620431198 ~1990
31021883620437678 ~1990
31022291620445838 ~1990
310225492481803939 ~1991
31022891620457838 ~1990
31023071620461438 ~1990
31023659620473198 ~1990
31024139620482798 ~1990
Exponent Prime Factor Digits Year
310243078066319839 ~1992
310243131861458799 ~1991
31024391620487838 ~1990
31024811620496238 ~1990
31024859620497198 ~1990
31024979620499598 ~1990
31025279620505598 ~1990
31025339620506798 ~1990
31025783620515678 ~1990
31025903620518078 ~1990
310261611861569679 ~1991
310268694343761679 ~1992
31027343620546878 ~1990
31028531620570638 ~1990
31028603620572078 ~1990
31028951620579038 ~1990
310291816826419839 ~1992
310292092482336739 ~1991
31029431620588638 ~1990
31029731620594638 ~1990
310317297447614979 ~1992
31032563620651278 ~1990
31032779620655598 ~1990
31033391620667838 ~1990
31033643620672878 ~1990
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26-07-05