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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
22851412193735379 ~1985
2285147411326478 ~1983
2285237319933198 ~1983
2285267182821378 ~1982
2285357137121438 ~1982
2285399182831938 ~1982
2285513319971838 ~1983
2285581502827838 ~1983
2285623548549538 ~1983
228571145714237 ~1981
2285711411427998
2285747594294238 ~1983
228589145717837 ~1981
2285981137158878 ~1982
228605945721197 ~1981
2286301137178078 ~1982
2286457685937118 ~1984
2286523228652318 ~1982
2286523365843698
2286577365852338 ~1983
2286659182932738 ~1982
2286671182933698 ~1982
2286671731734738
2286773137206398 ~1982
2287013548883138 ~1983
Exp. Prime Factor Digits Year
2287013731844178
2287063365930098 ~1983
2287121137227278 ~1982
2287279411710238 ~1983
2287501366000178 ~1983
2287687549044898 ~1983
228782345756477 ~1981
2287931183034498 ~1982
228799145759837 ~1981
22881191876257599 ~1985
2288213320349838 ~1983
228824345764877 ~1981
2288249549179778 ~1983
2288257137295438 ~1982
2288359411904638 ~1983
228839945767997 ~1981
22884491464607379 ~1984
2288467411924078 ~1983
2288527411934878 ~1983
2288563228856318 ~1982
2288633137317998 ~1982
2288681869698798 ~1984
2288731228873118 ~1982
228877145775437 ~1981
2288821915528418 ~1984
Exp. Prime Factor Digits Year
2288833686649918 ~1984
2289013366242098 ~1983
2289151228915118 ~1982
2289179183134338 ~1982
228925145785037 ~1981
2289349109888752110 ~1986
2289359732594898 ~1984
22894014166709839 ~1985
228950345790077 ~1981
2289641137378478 ~1982
228965945793197 ~1981
2289767183181378 ~1982
2289773137386398 ~1982
228977945795597 ~1981
2289779183182338
2290031183202498 ~1982
2290031412205598
2290081137404878 ~1982
2290097183207778 ~1982
2290151595439278 ~1983
2290181137410878 ~1982
2290243366438898 ~1983
229049945809997 ~1981
2290517320672398 ~1983
2290591412306398 ~1983
Exp. Prime Factor Digits Year
2290637137438238 ~1982
229064345812877 ~1981
2290721137443278 ~1982
22908294581658019 ~1986
2290831366532978 ~1983
2291041137462478 ~1982
229123145824637 ~1981
2291459412462638 ~1983
22914774720442639 ~1986
2291491412468398 ~1983
2291567183325378 ~1982
2291659412498638 ~1983
2291803229180318 ~1982
2291827366692338 ~1983
2291893366702898 ~1983
229207145841437 ~1981
2292071595938478
2292133366741298 ~1983
22921335867860499
2292253687675918 ~1984
229229945845997 ~1981
22924631513025599 ~1984
2292533137551998 ~1982
2292751229275118 ~1982
2292793366846898 ~1983
417
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25-04-13