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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.
Exp. Prime Factor Digits Year
15849312155506179 ~1984
1584941126795298 ~1981
158495931699197 ~1979
1584959126796738
1584971126797698 ~1981
158503395101997 ~1981
15850931489987439 ~1984
1585127412133038 ~1982
1585249380459778 ~1982
15852791395045539 ~1983
1585399158539918 ~1981
1585457602473678 ~1983
158551395130797 ~1981
1585559126844738 ~1981
1585673380561538 ~1982
158567931713597 ~1979
1585687158568718 ~1981
1585687253709938
158579931715997 ~1979
1585819158581918 ~1981
1585901126872098 ~1981
158597395158397 ~1981
1586027126882178 ~1981
1586093222053038 ~1981
158611395166797 ~1981
Exp. Prime Factor Digits Year
158640195184077 ~1981
1586531126922498 ~1981
1586537602884078 ~1983
158658195194877 ~1981
1586693222137038 ~1981
1586723412547998 ~1982
1586771126941698 ~1981
1586777602975278 ~1983
158695131739037 ~1979
15871091110976319 ~1983
1587251126980098 ~1981
1587323412703998 ~1982
15873491142891299 ~1983
1587683508058578 ~1982
15877012413305539 ~1984
1587739381057378 ~1982
1587787158778718 ~1981
158787795272637 ~1981
158792331758477 ~1979
1587923793961518
1588063254090098 ~1982
15881631651689539 ~1984
1588193222347038 ~1981
158821131764237 ~1979
158825395295197 ~1981
Exp. Prime Factor Digits Year
1588399158839918 ~1981
158843931768797 ~1979
1588451508304338 ~1982
15885671016682899 ~1983
158875795325437 ~1981
1588757127100578
1588877857993598 ~1983
1589083254253298 ~1982
1589129762781938 ~1983
158918331783677 ~1979
1589251158925118 ~1981
158941131788237 ~1979
158945931789197 ~1979
158950195370077 ~1981
1589713254354098 ~1982
1589719381532578 ~1982
1589771413340478 ~1982
1589933222590638 ~1981
1590037477011118 ~1982
1590079159007918 ~1981
159020331804077 ~1979
1590229381654978 ~1982
1590317477095118 ~1982
1590343254454898 ~1982
1590373349882078 ~1982
Exp. Prime Factor Digits Year
1590377127230178 ~1981
159038331807677 ~1979
15905411240621999 ~1983
1590553254488498 ~1982
15909139895478879 ~1986
159100195460077 ~1981
1591021350024638 ~1982
159121131824237 ~1979
159151131830237 ~1979
1591567159156718 ~1981
1591787127342978 ~1981
1591859127348738 ~1981
159188331837677 ~1979
1591927254708338 ~1982
159198195518877 ~1981
1592113350264878 ~1982
159215931843197 ~1979
159218331843677 ~1979
159232195539277 ~1981
159247131849437 ~1979
159263931852797 ~1979
1592653382236738 ~1982
159266331853277 ~1979
1592671159267118 ~1981
1592737860077998 ~1983
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