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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
704929919140985983910 ~2000
704932691140986538310 ~2000
704943383140988676710 ~2000
704979503140995900710 ~2000
70498903910856831200712 ~2005
704991719140998343910 ~2000
7050262431833068231911 ~2003
705027371141005474310 ~2000
705031979141006395910 ~2000
705032879141006575910 ~2000
705040691141008138310 ~2000
705113483141022696710 ~2000
705146173423087703910 ~2001
705149771141029954310 ~2000
705154259141030851910 ~2000
705189203141037840710 ~2000
7051917431692460183311 ~2003
705201383141040276710 ~2000
705201719141040343910 ~2000
705204431141040886310 ~2000
705266041423159624710 ~2001
705279083141055816710 ~2000
705290711141058142310 ~2000
7052956392398005172711 ~2003
705308339141061667910 ~2000
Exponent Prime Factor Digits Year
705319753423191851910 ~2001
705326939564261551310 ~2002
705352391141070478310 ~2000
705370243705370243110 ~2002
705387187705387187110 ~2002
705411809564329447310 ~2002
705460499141092099910 ~2000
705470933423282559910 ~2001
705472343141094468710 ~2000
705491069564392855310 ~2002
705514091141102818310 ~2000
7055308934938716251111 ~2004
7055438032963283972711 ~2003
705548159141109631910 ~2000
705557711141111542310 ~2000
705563407705563407110 ~2002
705579779141115955910 ~2000
705601079141120215910 ~2000
705626279141125255910 ~2000
705629819141125963910 ~2000
705644063141128812710 ~2000
7056739791270213162311 ~2002
705690299141138059910 ~2000
705691799141138359910 ~2000
705707423141141484710 ~2000
Exponent Prime Factor Digits Year
705712043141142408710 ~2000
705716351141143270310 ~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
706004471141200894310 ~2000
706009079141201815910 ~2000
706022423141204484710 ~2000
706022879141204575910 ~2000
706025783141205156710 ~2000
706053611141210722310 ~2000
706058351141211670310 ~2000
Exponent Prime Factor Digits Year
706083317423649990310 ~2001
706095413423657247910 ~2001
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
706314989988840984710 ~2002
7063217871271379216711 ~2002
7063238831130118212911 ~2002
706327463141265492710 ~2000
706332131141266426310 ~2000
706363139141272627910 ~2000
706363571141272714310 ~2000
706381199141276239910 ~2000
7063953671271511660711 ~2002
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26-03-15