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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
49776112488805519
49776671581902572711 ~1991
49776712787495779 ~1987
49777998064034399 ~1988
4977893298673598 ~1984
4977893696905038
497816399563277 ~1983
4978397298703838 ~1984
4978453298707198 ~1984
4978487398278978 ~1985
4978577298714638 ~1984
49785771493573119
4978697398295778 ~1985
4978769697027678 ~1985
49789072489453519 ~1987
49789731593271379 ~1986
4979047497904718 ~1985
497953199590637 ~1983
4979599896327838 ~1986
4979617298777038 ~1984
497965199593037 ~1983
4979911497991118 ~1985
497993999598797 ~1983
49801131494033919 ~1986
49801691095637199 ~1986
Exp. Prime Factor Digits Year
498017999603597 ~1983
498019199603837 ~1983
4980421298825278 ~1984
4980427896476878 ~1986
4980583498058318 ~1985
4980797298847838 ~1984
4980809697313278 ~1985
4980959398476738 ~1985
498110399622077 ~1983
49812318368468099 ~1988
4981237298874238 ~1984
4981373697392238 ~1985
49814692391105139 ~1987
498163199632637 ~1983
4981637298898238 ~1984
4981673697434238 ~1985
4981861298911678 ~1984
4981877697462798 ~1985
4982101298926078 ~1984
498223199644637 ~1983
4982273697518238 ~1985
4982359498235918 ~1985
49823591694002079
4982381298942878 ~1984
4982381398590498
Exp. Prime Factor Digits Year
49824371195784899 ~1986
4982897298973838 ~1984
498313199662637 ~1983
498329999665997 ~1983
498413999682797 ~1983
498443999688797 ~1983
4984439398755138
4984879498487918 ~1985
4985081299104878 ~1984
49851071196425699 ~1986
49852091196450179 ~1986
498542399708477 ~1983
4985521299131278 ~1984
4985609697985278 ~1985
49856092692228879
49857113290569279 ~1987
4985741299144478 ~1984
498601199720237 ~1983
4986077398886178 ~1985
4986077698050798
4986713299202798 ~1984
4986767398941378 ~1985
498695999739197 ~1983
498698399739677 ~1983
498701999740397 ~1983
Exp. Prime Factor Digits Year
4987109398968738 ~1985
4987231797956978 ~1986
4987259398980738 ~1985
4987351797976178 ~1986
4987393299243598 ~1984
498740399748077 ~1983
4987891498789118 ~1985
498811199762237 ~1983
4988119897861438 ~1986
4988453698383438 ~1985
49884531496535919
498859199771837 ~1983
498866399773277 ~1983
498869999773997 ~1983
498875999775197 ~1983
498889199777837 ~1983
4989067498906718 ~1985
4989209698489278 ~1985
498935999787197 ~1983
49893712794047779 ~1987
498944399788877 ~1983
4989797399183778 ~1985
49898112095720639 ~1987
498986399797277 ~1983
4989997299399838 ~1984
700
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26-01-11