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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
30999863619997278 ~1989
31000499620009998 ~1989
31000559620011198 ~1989
31001291620025838 ~1989
31001339620026798 ~1989
31001423620028478 ~1989
310015131860090799 ~1991
310019473100194719 ~1991
31002239620044798 ~1989
31004111620082238 ~1989
310047112480376899 ~1991
31004783620095678 ~1989
31004843620096878 ~1989
31005599620111998 ~1989
31005743620114878 ~1989
310061099921954899 ~1992
310062531860375199 ~1991
310063211860379279 ~1991
31006763620135278 ~1989
31006931620138638 ~1989
31007219620144398 ~1989
310075514961208179 ~1992
310079572480636579 ~1991
310081216821786639 ~1992
31008251620165038 ~1989
Exponent Prime Factor Digits Year
31008431620168638 ~1989
310085812480686499 ~1991
31009019620180398 ~1989
31009031620180638 ~1989
31009103620182078 ~1989
31009487148845537710 ~1993
31009523620190478 ~1989
31009883620197678 ~1989
31009943620198878 ~1989
31011479620229598 ~1989
31011899620237998 ~1989
31012391620247838 ~1989
31012451620249038 ~1989
31012799620255998 ~1989
31014083620281678 ~1989
31014299620285998 ~1989
31014551620291038 ~1989
31014563620291278 ~1989
31014611620292238 ~1989
310147211860883279 ~1991
31015499620309998 ~1989
31015643620312878 ~1989
310157572481260579 ~1991
31016291620325838 ~1989
31016591620331838 ~1989
Exponent Prime Factor Digits Year
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
310225492481803939 ~1991
31022891620457838 ~1989
31023071620461438 ~1989
Exponent Prime Factor Digits Year
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
31032563620651278 ~1989
31032779620655598 ~1989
31033391620667838 ~1989
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25-05-11