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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
705816269988142776710 ~2002
705860411564688328910 ~2002
705874751141174950310 ~2000
7058782192258810300911 ~2003
705892559141178511910 ~2000
7059227031694214487311 ~2003
705925991141185198310 ~2000
7059425291694262069711 ~2003
705943571141188714310 ~2000
705948839141189767910 ~2000
705976811141195362310 ~2000
705977171141195434310 ~2000
705984431141196886310 ~2000
705997151141199430310 ~2000
706004471141200894310 ~2000
706009079141201815910 ~2000
706022423141204484710 ~2000
706022879141204575910 ~2000
706025783141205156710 ~2000
706043603141208720710 ~2000
706053611141210722310 ~2000
706058351141211670310 ~2000
706083317423649990310 ~2001
706095413423657247910 ~2001
706102151141220430310 ~2000
Exponent Prime Factor Digits Year
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
706403897565123117710 ~2002
706447571565158056910 ~2002
Exponent Prime Factor Digits Year
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
706600907565280725710 ~2002
706620631706620631110 ~2002
706626839141325367910 ~2000
706637231141327446310 ~2000
706657151141331430310 ~2000
706665671141333134310 ~2000
706682939141336587910 ~2000
706688069565350455310 ~2002
706711319141342263910 ~2000
706713719141342743910 ~2000
706715111141343022310 ~2000
Exponent Prime Factor Digits Year
7067193733250909115911 ~2003
706723777424034266310 ~2001
706728299141345659910 ~2000
706735583141347116710 ~2000
706754423141350884710 ~2000
706758359141351671910 ~2000
706762037424057222310 ~2001
706767203141353440710 ~2000
7067790192403048664711 ~2003
706793723141358744710 ~2000
706795619141359123910 ~2000
706799551706799551110 ~2002
706802521424081512710 ~2001
706805831141361166310 ~2000
706806731141361346310 ~2000
706829603141365920710 ~2000
706881239141376247910 ~2000
706893839141378767910 ~2000
706895159141379031910 ~2000
706902311565521848910 ~2002
706902323141380464710 ~2000
706906859141381371910 ~2000
7069213812120764143111 ~2003
706922591565538072910 ~2002
706972979141394595910 ~2000
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26-07-19