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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
704437439140887487910 ~2000
704439479140887895910 ~2000
704452439140890487910 ~2000
704477519140895503910 ~2000
704500457422700274310 ~2001
7045148271831738550311 ~2003
704557559140911511910 ~2000
704558279140911655910 ~2000
704562647563650117710 ~2002
704565971140913194310 ~2000
704600219140920043910 ~2000
704612459140922491910 ~2000
704625791140925158310 ~2000
704642699140928539910 ~2000
704654771140930954310 ~2000
7046716912254949411311 ~2003
704684471140936894310 ~2000
704696039140939207910 ~2000
704741099140948219910 ~2000
704754269563803415310 ~2002
704761289563809031310 ~2002
704767559140953511910 ~2000
7047695232396216378311 ~2003
704773033422863819910 ~2001
704779703140955940710 ~2000
Exponent Prime Factor Digits Year
704787383140957476710 ~2000
704788163140957632710 ~2000
704790563140958112710 ~2000
70480227715082768727912 ~2005
704808179140961635910 ~2000
704815921422889552710 ~2001
704833463140966692710 ~2000
704852669986793736710 ~2002
704862659140972531910 ~2000
7048627012678478263911 ~2003
704908499140981699910 ~2000
704908871140981774310 ~2000
704929271140985854310 ~2000
704929919140985983910 ~2000
704932691140986538310 ~2000
704943383140988676710 ~2000
70498903910856831200712 ~2005
704991719140998343910 ~2000
7050262431833068231911 ~2003
705031979141006395910 ~2000
705032879141006575910 ~2000
705040691141008138310 ~2000
705113483141022696710 ~2000
705149771141029954310 ~2000
705154259141030851910 ~2000
Exponent Prime Factor Digits Year
705189203141037840710 ~2000
7051917431692460183311 ~2003
705201383141040276710 ~2000
705201719141040343910 ~2000
705204431141040886310 ~2000
705266041423159624710 ~2001
705279083141055816710 ~2000
705290711141058142310 ~2000
7052956392398005172711 ~2003
705308339141061667910 ~2000
705319753423191851910 ~2001
705326939564261551310 ~2002
705352391141070478310 ~2000
705370243705370243110 ~2002
705387187705387187110 ~2002
705470933423282559910 ~2001
705472343141094468710 ~2000
705514091141102818310 ~2000
705524249564419399310 ~2002
7055308934938716251111 ~2004
7055438032963283972711 ~2003
705548159141109631910 ~2000
705557711141111542310 ~2000
705579779141115955910 ~2000
705601079141120215910 ~2000
Exponent Prime Factor Digits Year
705629819141125963910 ~2000
705644063141128812710 ~2000
7056739791270213162311 ~2002
705690299141138059910 ~2000
705691799141138359910 ~2000
705707423141141484710 ~2000
705712043141142408710 ~2000
705716351141143270310 ~2000
705739883141147976710 ~2000
705744191141148838310 ~2000
705757271141151454310 ~2000
705816269988142776710 ~2002
705860411564688328910 ~2002
705874751141174950310 ~2000
705892559141178511910 ~2000
7059227031694214487311 ~2003
705925991141185198310 ~2000
7059425291694262069711 ~2003
705943571141188714310 ~2000
705976811141195362310 ~2000
705977171141195434310 ~2000
705984431141196886310 ~2000
706004471141200894310 ~2000
706009079141201815910 ~2000
706022423141204484710 ~2000
3382
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25-06-08