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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
705739883141147976710 ~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
706022879141204575910 ~2000
706025783141205156710 ~2000
706058351141211670310 ~2000
706083317423649990310 ~2001
706095413423657247910 ~2001
7061106671694665600911 ~2003
706129643141225928710 ~2000
706145837423687502310 ~2001
706174537423704722310 ~2001
Exponent Prime Factor Digits Year
706191659141238331910 ~2000
706222103141244420710 ~2000
706237271141247454310 ~2000
706254881423752928710 ~2001
706270273423762163910 ~2001
706271759141254351910 ~2000
706314989988840984710 ~2002
7063217871271379216711 ~2002
7063238831130118212911 ~2002
706327463141265492710 ~2000
706363571141272714310 ~2000
706381199141276239910 ~2000
7063953671271511660711 ~2002
706403897565123117710 ~2002
706465439565172351310 ~2002
706484651141296930310 ~2000
706498823141299764710 ~2000
706519571141303914310 ~2000
706528643141305728710 ~2000
706535363141307072710 ~2000
706566779141313355910 ~2000
706568417423941050310 ~2001
706592231141318446310 ~2000
706599599141319919910 ~2000
706600907565280725710 ~2002
Exponent Prime Factor Digits Year
706620631706620631110 ~2002
706626839141325367910 ~2000
706665671141333134310 ~2000
706682939141336587910 ~2000
706688069565350455310 ~2002
706711319141342263910 ~2000
706715111141343022310 ~2000
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
706881239141376247910 ~2000
706893839141378767910 ~2000
706895159141379031910 ~2000
706902311565521848910 ~2002
706902323141380464710 ~2000
Exponent Prime Factor Digits Year
706906859141381371910 ~2000
7069213812120764143111 ~2003
706972979141394595910 ~2000
7070030235090421765711 ~2004
707008607565606885710 ~2002
707031863141406372710 ~2000
7070992731697038255311 ~2003
707138543141427708710 ~2000
7071401271697136304911 ~2003
707175671141435134310 ~2000
707185649565748519310 ~2002
707191781424315068710 ~2001
707200199141440039910 ~2000
707207951141441590310 ~2000
7072121092263078748911 ~2003
707216843141443368710 ~2000
7072323733253268915911 ~2003
707249519141449903910 ~2000
707263057424357834310 ~2001
707304971141460994310 ~2000
707311211565848968910 ~2002
707328431141465686310 ~2000
707335487565868389710 ~2002
707372999141474599910 ~2000
707428343141485668710 ~2000
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25-04-13