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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
970670663194134132710 ~2001
970697879194139575910 ~2001
970776451970776451110 ~2003
970795453582477271910 ~2002
970821899194164379910 ~2001
970823387776658709710 ~2003
970849259194169851910 ~2001
970857119194171423910 ~2001
970883363194176672710 ~2001
970910861582546516710 ~2002
970925999194185199910 ~2001
970963919194192783910 ~2001
970983683194196736710 ~2001
970989443194197888710 ~2001
971014403194202880710 ~2001
971036083971036083110 ~2003
971061191194212238310 ~2001
971080931194216186310 ~2001
971092319194218463910 ~2001
971110271194222054310 ~2001
971127191194225438310 ~2001
971159639194231927910 ~2001
971166923194233384710 ~2001
971202839194240567910 ~2001
971227021582736212710 ~2002
Exponent Prime Factor Digits Year
971234963194246992710 ~2001
9712853092913855927111 ~2004
971288819194257763910 ~2001
971297407971297407110 ~2003
9713508672331242080911 ~2004
971398523194279704710 ~2001
971430503194286100710 ~2001
971443139194288627910 ~2001
971443883194288776710 ~2001
971445731194289146310 ~2001
971451083194290216710 ~2001
971452571194290514310 ~2001
9714698332331527599311 ~2004
971471183194294236710 ~2001
971508383194301676710 ~2001
971512439194302487910 ~2001
971512823194302564710 ~2001
971540897777232717710 ~2003
971552951194310590310 ~2001
971616083194323216710 ~2001
971692691194338538310 ~2001
971701937777361549710 ~2003
971712023194342404710 ~2001
971761169777408935310 ~2003
971779031194355806310 ~2001
Exponent Prime Factor Digits Year
971781491194356298310 ~2001
971831137583098682310 ~2002
971834243194366848710 ~2001
9718427878746585083111 ~2005
971899583194379916710 ~2001
971934773583160863910 ~2002
971940491777552392910 ~2003
972014651194402930310 ~2001
972061591972061591110 ~2003
972072653583243591910 ~2002
972098593583259155910 ~2002
972103943194420788710 ~2001
972106537583263922310 ~2002
972111577583266946310 ~2002
972122603194424520710 ~2001
972146663194429332710 ~2001
972165671194433134310 ~2001
972181823194436364710 ~2001
972187523194437504710 ~2001
972300299194460059910 ~2001
972421511194484302310 ~2001
972428921583457352710 ~2002
9724341071750381392711 ~2004
972435133583461079910 ~2002
9724579791750424362311 ~2004
Exponent Prime Factor Digits Year
972516791194503358310 ~2001
972533291194506658310 ~2001
972594179194518835910 ~2001
972618719194523743910 ~2001
972628931194525786310 ~2001
972633803194526760710 ~2001
972641471194528294310 ~2001
972641651194528330310 ~2001
972652283194530456710 ~2001
972661031194532206310 ~2001
972667043194533408710 ~2001
972767717778214173710 ~2003
972773783194554756710 ~2001
972775883194555176710 ~2001
972799703194559940710 ~2001
972814691194562938310 ~2001
972824093583694455910 ~2002
972869459194573891910 ~2001
972871931778297544910 ~2003
972912203194582440710 ~2001
972918173583750903910 ~2002
972926291778341032910 ~2003
972936479194587295910 ~2001
972949403194589880710 ~2001
972974963194594992710 ~2001
3698
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25-11-02