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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
252849712022797699 ~1990
25285031505700638 ~1989
25286711505734238 ~1989
252867432528674319 ~1991
25286759505735198 ~1989
25286903505738078 ~1989
252869994551659839 ~1991
25287011505740238 ~1989
25288691505773838 ~1989
25289039505780798 ~1989
25289051505781038 ~1989
252895672023165379 ~1990
25289651505793038 ~1989
25290431505808638 ~1989
252906771517440639 ~1990
25292831505856638 ~1989
25293071505861438 ~1989
25293239505864798 ~1989
252936772023494179 ~1990
25293791505875838 ~1989
25294163505883278 ~1989
25294343505886878 ~1989
252944392023555139 ~1990
25294799505895998 ~1989
252951411517708479 ~1990
Exponent Prime Factor Digits Year
25295579505911598 ~1989
25295639505912798 ~1989
25296143505922878 ~1989
252962692023701539 ~1990
25296371505927438 ~1989
25296839505936798 ~1989
25296983505939678 ~1989
25297199505943998 ~1989
252980996071543779 ~1991
25298111505962238 ~1989
252988032529880319 ~1991
252988931517933599 ~1990
25299623505992478 ~1989
25300091506001838 ~1989
25300283506005678 ~1989
25300703506014078 ~1989
25300823506016478 ~1989
25300883506017678 ~1989
25301123506022478 ~1989
25301291506025838 ~1989
25301351506027038 ~1989
25301603506032078 ~1989
25302143506042878 ~1989
253021436578557199
25302503506050078 ~1989
Exponent Prime Factor Digits Year
25303559506071198 ~1989
25303571506071438 ~1989
25303643506072878 ~1989
253037211518223279 ~1990
253039131518234799 ~1990
25304003506080078 ~1989
25304039506080798 ~1989
253042217591266319 ~1992
25304291506085838 ~1989
25304579506091598 ~1989
25304663506093278 ~1989
25304771506095438 ~1989
25305251506105038 ~1989
25305383506107678 ~1989
25305419506108398 ~1989
25305803506116078 ~1989
25306031506120638 ~1989
253061331518367999 ~1990
253063272530632719 ~1991
25306331506126638 ~1989
25307123506142478 ~1989
25307939506158798 ~1989
25308071506161438 ~1989
25308191506163838 ~1989
253083912530839119 ~1991
Exponent Prime Factor Digits Year
25309079506181598 ~1989
253097232530972319 ~1991
25309799506195998 ~1989
25310471506209438 ~1989
253110371518662239 ~1990
25311551506231038 ~1989
25311659506233198 ~1989
253135792025086339 ~1990
25313999506279998 ~1989
25314563506291278 ~1989
253149314050388979 ~1991
253151171518907039 ~1990
25315319506306398 ~1989
25315403506308078 ~1989
25315943506318878 ~1989
253161971518971839 ~1990
25316279506325598 ~1989
253164614050633779 ~1991
253165137594953919 ~1992
253172211519033279 ~1990
25317263506345278 ~1989
25318343410157156710 ~1993
253184171519105039 ~1990
25319351506387038 ~1989
25319543506390878 ~1989
1608
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25-07-08