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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
718679651143735930310 ~2000
718682291143736458310 ~2000
718701521431220912710 ~2001
718757939575006351310 ~2002
718765997431259598310 ~2001
718767793431260675910 ~2001
718772063143754412710 ~2000
718804313431282587910 ~2001
718842577431305546310 ~2001
7188517371006392431911 ~2002
718852523143770504710 ~2000
718870571143774114310 ~2000
718870679143774135910 ~2000
7188890114169556263911 ~2004
718894103143778820710 ~2000
718911071143782214310 ~2000
7189163331006482866311 ~2002
7189165571150266491311 ~2002
718932743143786548710 ~2000
718951631143790326310 ~2000
718960163143792032710 ~2000
71897674961975795763912 ~2007
719007323143801464710 ~2000
719007413431404447910 ~2001
719011031143802206310 ~2000
Exponent Prime Factor Digits Year
719024711143804942310 ~2000
719035679143807135910 ~2000
719060341431436204710 ~2001
719071343143814268710 ~2000
7190825231150532036911 ~2002
719106317431463790310 ~2001
719122511143824502310 ~2000
719130593431478355910 ~2001
719145239143829047910 ~2000
719148359143829671910 ~2000
719180279143836055910 ~2000
7192020731582244560711 ~2003
719220791143844158310 ~2000
719224553431534731910 ~2001
7192267872445371075911 ~2003
7192350731150776116911 ~2002
719244023143848804710 ~2000
719245273431547163910 ~2001
7192497471726199392911 ~2003
719312543143862508710 ~2000
719324693431594815910 ~2001
7193283171007059643911 ~2002
719352143143870428710 ~2000
719375291143875058310 ~2000
719395343143879068710 ~2000
Exponent Prime Factor Digits Year
7194496911295009443911 ~2003
719452403143890480710 ~2000
719453051143890610310 ~2000
719459183143891836710 ~2000
719508851143901770310 ~2000
719513891143902778310 ~2000
719527223143905444710 ~2000
719527799143905559910 ~2000
719528951143905790310 ~2000
719557859143911571910 ~2000
719590643143918128710 ~2000
719629277431777566310 ~2001
719636399143927279910 ~2000
719643959143928791910 ~2000
719668583143933716710 ~2000
719680883143936176710 ~2000
719682563143936512710 ~2000
719693879143938775910 ~2000
719702099143940419910 ~2000
719706193431823715910 ~2001
719721599143944319910 ~2000
7197394795182124248911 ~2004
719745899143949179910 ~2000
719766191143953238310 ~2000
719766479143953295910 ~2000
Exponent Prime Factor Digits Year
719826311143965262310 ~2000
719835923143967184710 ~2000
719853311143970662310 ~2000
7198677895614968754311 ~2004
719870653431922391910 ~2001
719882843143976568710 ~2000
719884181431930508710 ~2001
719917397575933917710 ~2002
719919637431951782310 ~2001
719928551143985710310 ~2000
719934503143986900710 ~2000
719940899143988179910 ~2000
719947993431968795910 ~2001
719951641431970984710 ~2001
719963759143992751910 ~2000
719964023143992804710 ~2000
7199764631727943511311 ~2003
720003731144000746310 ~2000
720008423144001684710 ~2000
7200170091008023812711 ~2002
7200199432304063817711 ~2003
720032231144006446310 ~2000
720038603144007720710 ~2000
720044459144008891910 ~2000
720074897432044938310 ~2001
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