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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
705308339141061667910 ~2000
705319753423191851910 ~2001
705326939564261551310 ~2002
705352391141070478310 ~2000
705370243705370243110 ~2002
705387187705387187110 ~2002
705411809564329447310 ~2002
705460499141092099910 ~2000
705470933423282559910 ~2001
705472343141094468710 ~2000
705479521423287712710 ~2001
705491069564392855310 ~2002
705514091141102818310 ~2000
7055308934938716251111 ~2004
7055438032963283972711 ~2003
705548159141109631910 ~2000
705552863141110572710 ~2000
705557711141111542310 ~2000
705563407705563407110 ~2002
705579779141115955910 ~2000
705593963141118792710 ~2000
705601079141120215910 ~2000
705614729987860620710 ~2002
705626279141125255910 ~2000
705629819141125963910 ~2000
Exponent Prime Factor Digits Year
705644063141128812710 ~2000
7056739791270213162311 ~2002
705690299141138059910 ~2000
705691799141138359910 ~2000
705707423141141484710 ~2000
705712043141142408710 ~2000
705716351141143270310 ~2000
705716471141143294310 ~2000
705728099141145619910 ~2000
705739883141147976710 ~2000
705744191141148838310 ~2000
705757271141151454310 ~2000
705816269988142776710 ~2002
705860411564688328910 ~2002
705874751141174950310 ~2000
7058782192258810300911 ~2003
705892559141178511910 ~2000
7059227031694214487311 ~2003
705925991141185198310 ~2000
7059425291694262069711 ~2003
705943571141188714310 ~2000
705976811141195362310 ~2000
705977171141195434310 ~2000
705984431141196886310 ~2000
705997151141199430310 ~2000
Exponent Prime Factor Digits Year
706004471141200894310 ~2000
706009079141201815910 ~2000
706022423141204484710 ~2000
706022879141204575910 ~2000
706025783141205156710 ~2000
706043603141208720710 ~2000
706053611141210722310 ~2000
706058351141211670310 ~2000
706083317423649990310 ~2001
706095413423657247910 ~2001
706102151141220430310 ~2000
7061106671694665600911 ~2003
706129643141225928710 ~2000
706132331141226466310 ~2000
706145837423687502310 ~2001
706174537423704722310 ~2001
706179917423707950310 ~2001
706187863706187863110 ~2002
706191659141238331910 ~2000
706222103141244420710 ~2000
706226123141245224710 ~2000
706237271141247454310 ~2000
706254881423752928710 ~2001
706270273423762163910 ~2001
706271759141254351910 ~2000
Exponent Prime Factor Digits Year
706314989988840984710 ~2002
7063217871271379216711 ~2002
7063238831130118212911 ~2002
706327463141265492710 ~2000
706332131141266426310 ~2000
706363139141272627910 ~2000
706363571141272714310 ~2000
706381199141276239910 ~2000
7063953671271511660711 ~2002
706403897565123117710 ~2002
706447571565158056910 ~2002
706457861423874716710 ~2001
706465439565172351310 ~2002
706484651141296930310 ~2000
706498823141299764710 ~2000
706515059141303011910 ~2000
706519571141303914310 ~2000
706528643141305728710 ~2000
706535363141307072710 ~2000
706566779141313355910 ~2000
706568417423941050310 ~2001
706585571141317114310 ~2000
706592231141318446310 ~2000
706592443706592443110 ~2002
706599599141319919910 ~2000
3841
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26-07-05