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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
674769131134953826310 ~2000
674781683134956336710 ~2000
674803733404882239910 ~2001
674805563134961112710 ~2000
674812199134962439910 ~2000
674854553404912731910 ~2001
6748574111079771857711 ~2002
6748582874319093036911 ~2004
674886599539909279310 ~2001
674897819134979563910 ~2000
674899501404939700710 ~2001
674903699134980739910 ~2000
674910443134982088710 ~2000
674921603134984320710 ~2000
674926223134985244710 ~2000
674937251134987450310 ~2000
674959091134991818310 ~2000
675018419135003683910 ~2000
675029363135005872710 ~2000
675033659135006731910 ~2000
675037421405022452710 ~2001
675064133405038479910 ~2001
675086353405051811910 ~2001
675142739135028547910 ~2000
675149243135029848710 ~2000
Exponent Prime Factor Digits Year
675169897405101938310 ~2001
675204899135040979910 ~2000
6752278071215410052711 ~2002
675238139135047627910 ~2000
6752390031755621407911 ~2003
675263471135052694310 ~2000
675382619135076523910 ~2000
675410303135082060710 ~2000
675415943135083188710 ~2000
6754206613106935040711 ~2003
675420983135084196710 ~2000
675433079135086615910 ~2000
675433991135086798310 ~2000
675441443135088288710 ~2000
675442199135088439910 ~2000
675470591135094118310 ~2000
675479639135095927910 ~2000
675491977405295186310 ~2001
675513263135102652710 ~2000
675526781405316068710 ~2001
675577163135115432710 ~2000
675606983135121396710 ~2000
675620051135124010310 ~2000
675624023135124804710 ~2000
675626531135125306310 ~2000
Exponent Prime Factor Digits Year
6756298933648401422311 ~2003
675640739135128147910 ~2000
675662257405397354310 ~2001
675684851135136970310 ~2000
675685259135137051910 ~2000
675685739135137147910 ~2000
675692519135138503910 ~2000
675696683135139336710 ~2000
675704663135140932710 ~2000
675707581405424548710 ~2001
6757115391216280770311 ~2002
675718243675718243110 ~2002
6757575671216363620711 ~2002
675776609540621287310 ~2001
675792239540633791310 ~2001
675798323135159664710 ~2000
675828653405497191910 ~2001
675839639135167927910 ~2000
675865871135173174310 ~2000
6758668811081387009711 ~2002
675952231675952231110 ~2002
675960479135192095910 ~2000
675975731135195146310 ~2000
675984563135196912710 ~2000
676002533946403546310 ~2002
Exponent Prime Factor Digits Year
6760196232704078492111 ~2003
676065161405639096710 ~2001
676101539135220307910 ~2000
676155899135231179910 ~2000
676173611135234722310 ~2000
676191569946668196710 ~2002
676211407676211407110 ~2002
676213283135242656710 ~2000
676235363135247072710 ~2000
676265783135253156710 ~2000
676266359135253271910 ~2000
676271471135254294310 ~2000
676273883135254776710 ~2000
676292321405775392710 ~2001
676298303135259660710 ~2000
676307273405784363910 ~2001
676313333405787999910 ~2001
676323803135264760710 ~2000
676350131135270026310 ~2000
676352003135270400710 ~2000
676361377405816826310 ~2001
676396163135279232710 ~2000
676468451135293690310 ~2000
676479733405887839910 ~2001
676500743135300148710 ~2000
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25-06-08