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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
777847331155569466310 ~2000
7778865371866927688911 ~2003
777940931155588186310 ~2000
777941999155588399910 ~2000
777957203155591440710 ~2000
777958871155591774310 ~2000
777969371155593874310 ~2000
777986003155597200710 ~2000
777989489622391591310 ~2002
778005443155601088710 ~2000
7780297792489695292911 ~2003
778035239155607047910 ~2000
778044317622435453710 ~2002
778046779778046779110 ~2002
778047997466828798310 ~2002
778087571155617514310 ~2000
778091057466854634310 ~2002
778092923155618584710 ~2000
778094903155618980710 ~2000
778112941466867764710 ~2002
778145531155629106310 ~2000
778180379155636075910 ~2000
778187867622550293710 ~2002
778207931155641586310 ~2000
778208999155641799910 ~2000
Exponent Prime Factor Digits Year
778210523155642104710 ~2000
778238459155647691910 ~2000
778312439155662487910 ~2000
778315379155663075910 ~2000
778328279155665655910 ~2000
778335419155667083910 ~2000
778336703155667340710 ~2000
778361939155672387910 ~2000
778389281467033568710 ~2002
778391759622713407310 ~2002
778398059155679611910 ~2000
778399703155679940710 ~2000
778408583155681716710 ~2000
778426081467055648710 ~2002
778429123778429123110 ~2002
778454723155690944710 ~2000
778467023155693404710 ~2000
778473779155694755910 ~2000
778498559155699711910 ~2000
778504283155700856710 ~2000
778506173467103703910 ~2002
778520063155704012710 ~2000
778563743155712748710 ~2000
7785854113270058726311 ~2004
778589453467153671910 ~2002
Exponent Prime Factor Digits Year
778591283155718256710 ~2000
778633811155726762310 ~2000
778641917622913533710 ~2002
778654139155730827910 ~2000
778658603155731720710 ~2000
778660217467196130310 ~2002
778662719155732543910 ~2000
778663331155732666310 ~2000
778674023155734804710 ~2000
778695311155739062310 ~2000
778758791155751758310 ~2000
778762739155752547910 ~2000
778763171155752634310 ~2000
778766123155753224710 ~2000
778768439155753687910 ~2000
778796861467278116710 ~2002
778806863155761372710 ~2000
7788193371090347071911 ~2003
778820639155764127910 ~2000
778821269623057015310 ~2002
778822043155764408710 ~2000
7788388135607639453711 ~2004
778852597467311558310 ~2002
778862159155772431910 ~2000
7788699792648157928711 ~2003
Exponent Prime Factor Digits Year
778876223155775244710 ~2000
778879487623103589710 ~2002
778911361467346816710 ~2002
778947311155789462310 ~2000
778966343155793268710 ~2000
778974023155794804710 ~2000
779014541467408724710 ~2002
779025983155805196710 ~2000
779034983155806996710 ~2000
779058431155811686310 ~2000
779062811623250248910 ~2002
779106791155821358310 ~2000
779117351155823470310 ~2000
779122871155824574310 ~2000
779124733467474839910 ~2002
779129579155825915910 ~2000
7791487631246638020911 ~2003
779149439155829887910 ~2000
779152373467491423910 ~2002
779157383155831476710 ~2000
779179031155835806310 ~2000
7791898691714217711911 ~2003
779199959155839991910 ~2000
779208383155841676710 ~2000
779208389623366711310 ~2002
3814
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26-05-03