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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
2050558943410111788710 ~2004
2050651331410130266310 ~2004
20506977171230418630311 ~2005
2050745891410149178310 ~2004
20508156193691468114311 ~2006
20508707931230522475911 ~2005
2051017883410203576710 ~2004
2051029811410205962310 ~2004
2051137859410227571910 ~2004
2051177039410235407910 ~2004
2051189711410237942310 ~2004
2051197283410239456710 ~2004
2051236823410247364710 ~2004
2051265119410253023910 ~2004
2051375951410275190310 ~2004
2051398799410279759910 ~2004
20514249171230854950311 ~2005
2051466731410293346310 ~2004
20515941774923826024911 ~2006
20516487171230989230311 ~2005
2051649623410329924710 ~2004
2051687903410337580710 ~2004
2051732183410346436710 ~2004
20517537891641403031311 ~2005
20517711534924250767311 ~2006
Exponent Prime Factor Digits Year
20517720771231063246311 ~2005
2051869511410373902310 ~2004
2051872811410374562310 ~2004
2051891843410378368710 ~2004
2051908571410381714310 ~2004
2051952491410390498310 ~2004
2052031931410406386310 ~2004
2052044699410408939910 ~2004
2052127691410425538310 ~2004
2052180131410436026310 ~2004
2052317159410463431910 ~2004
2052356759410471351910 ~2004
2052413399410482679910 ~2004
2052426143410485228710 ~2004
2052515123410503024710 ~2004
2052527579410505515910 ~2004
2052591851410518370310 ~2004
20526462411231587744711 ~2005
2052646859410529371910 ~2004
2052651803410530360710 ~2004
2052671303410534260710 ~2004
2052710063410542012710 ~2004
2052732743410546548710 ~2004
2052738851410547770310 ~2004
20527822311642225784911 ~2005
Exponent Prime Factor Digits Year
2052790739410558147910 ~2004
20528020931231681255911 ~2005
2052846791410569358310 ~2004
2052879011410575802310 ~2004
2052879611410575922310 ~2004
2052915671410583134310 ~2004
2052945623410589124710 ~2004
2052966011410593202310 ~2004
205296613313138983251312 ~2007
2052982031410596406310 ~2004
2052983651410596730310 ~2004
2053081091410616218310 ~2004
20530900571231854034311 ~2005
20531442531231886551911 ~2005
2053172183410634436710 ~2004
2053222103410644420710 ~2004
2053238051410647610310 ~2004
2053307939410661587910 ~2004
2053310783410662156710 ~2004
2053328003410665600710 ~2004
2053356443410671288710 ~2004
20533666494928079957711 ~2006
20534641571232078494311 ~2005
2053478519410695703910 ~2004
2053571783410714356710 ~2004
Exponent Prime Factor Digits Year
2053584779410716955910 ~2004
2053628231410725646310 ~2004
20536880592053688059111 ~2005
2053700591410740118310 ~2004
20538241371643059309711 ~2005
2053859999410771999910 ~2004
2053946351410789270310 ~2004
20539500913697110163911 ~2006
205396822728344761532712 ~2008
20540391073286462571311 ~2006
2054048411410809682310 ~2004
20541265131232475907911 ~2005
2054184719410836943910 ~2004
2054257739410851547910 ~2004
20542927611232575656711 ~2005
2054308199410861639910 ~2004
20543452811232607168711 ~2005
20543665379860959377711 ~2007
20543984993697917298311 ~2006
20544211971232652718311 ~2005
2054448191410889638310 ~2004
2054504591410900918310 ~2004
2054641103410928220710 ~2004
2054654711410930942310 ~2004
2054666219410933243910 ~2004
4349
GIMPS The Prime Pages FactorDb.com
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26-07-05