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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
9700695114850347555111 ~2005
970084103194016820710 ~2001
970126639970126639110 ~2003
970153117582091870310 ~2002
970162703194032540710 ~2001
970170479194034095910 ~2001
970174223194034844710 ~2001
970178459194035691910 ~2001
970246379194049275910 ~2001
970264111970264111110 ~2003
970273943194054788710 ~2001
970342679194068535910 ~2001
970368611194073722310 ~2001
970408421582245052710 ~2002
970446731194089346310 ~2001
970453019194090603910 ~2001
970487579194097515910 ~2001
970512083194102416710 ~2001
970531871194106374310 ~2001
970626071194125214310 ~2001
970645079194129015910 ~2001
970657283194131456710 ~2001
970670663194134132710 ~2001
970697879194139575910 ~2001
970776451970776451110 ~2003
Exponent Prime Factor Digits Year
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
9712853092913855927111 ~2004
971288819194257763910 ~2001
971297407971297407110 ~2003
9713508672331242080911 ~2004
Exponent Prime Factor Digits Year
971398523194279704710 ~2001
971430503194286100710 ~2001
971443139194288627910 ~2001
971443883194288776710 ~2001
971445731194289146310 ~2001
971451083194290216710 ~2001
971452571194290514310 ~2001
9714698332331527599311 ~2004
971508383194301676710 ~2001
971512439194302487910 ~2001
971512823194302564710 ~2001
971540897777232717710 ~2003
971552951194310590310 ~2001
971616083194323216710 ~2001
971692691194338538310 ~2001
971701937777361549710 ~2003
971712023194342404710 ~2001
971761169777408935310 ~2003
971779031194355806310 ~2001
971781491194356298310 ~2001
971831137583098682310 ~2002
971834243194366848710 ~2001
9718427878746585083111 ~2005
971899583194379916710 ~2001
971934773583160863910 ~2002
Exponent Prime Factor Digits Year
971940491777552392910 ~2003
972014651194402930310 ~2001
972061591972061591110 ~2003
972072653583243591910 ~2002
972098593583259155910 ~2002
972103943194420788710 ~2001
972111577583266946310 ~2002
972122603194424520710 ~2001
972146663194429332710 ~2001
972165671194433134310 ~2001
972181823194436364710 ~2001
972241021583344612710 ~2002
972300299194460059910 ~2001
972421511194484302310 ~2001
972428921583457352710 ~2002
9724341071750381392711 ~2004
972435133583461079910 ~2002
9724579791750424362311 ~2004
972516791194503358310 ~2001
972533291194506658310 ~2001
972594179194518835910 ~2001
972618719194523743910 ~2001
972628931194525786310 ~2001
972633803194526760710 ~2001
972641471194528294310 ~2001
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25-07-08