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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
792163763158432752710 ~2000
792172993475303795910 ~2002
792193691633754952910 ~2002
792199081475319448710 ~2002
792201131158440226310 ~2000
792226151633780920910 ~2002
7922311793802709659311 ~2004
792262343158452468710 ~2000
7922764511267642321711 ~2003
792299779792299779110 ~2002
792323011792323011110 ~2002
7923287531267726004911 ~2003
7923288371901589208911 ~2003
792420059158484011910 ~2000
792450443158490088710 ~2000
792457511158491502310 ~2000
792503363158500672710 ~2000
792526681475516008710 ~2002
7925672891743648035911 ~2003
792572831158514566310 ~2000
792593891158518778310 ~2000
792633251158526650310 ~2000
792650363158530072710 ~2000
792671783158534356710 ~2000
792704777475622866310 ~2002
Exponent Prime Factor Digits Year
792713063158542612710 ~2000
792726059158545211910 ~2000
792729131158545826310 ~2000
792747017475648210310 ~2002
792798241475678944710 ~2002
792823799158564759910 ~2000
792860483158572096710 ~2001
792871657475722994310 ~2002
792885539158577107910 ~2001
792893819158578763910 ~2001
792906839158581367910 ~2001
792914471158582894310 ~2001
792950153475770091910 ~2002
793008617634406893710 ~2002
793012817634410253710 ~2002
793020419158604083910 ~2001
793042931158608586310 ~2001
793058639158611727910 ~2001
793066091158613218310 ~2001
793078103158615620710 ~2001
7930806673172322668111 ~2004
793139111158627822310 ~2001
793145651158629130310 ~2001
793174043158634808710 ~2001
793206971634565576910 ~2002
Exponent Prime Factor Digits Year
7932248531269159764911 ~2003
793226081634580864910 ~2002
793230299158646059910 ~2001
793232243158646448710 ~2001
793232663158646532710 ~2001
7932480832062445015911 ~2003
793268159158653631910 ~2001
793276931158655386310 ~2001
793289291158657858310 ~2001
793294283158658856710 ~2001
793332473475999483910 ~2002
793396403158679280710 ~2001
793423271158684654310 ~2001
793452461476071476710 ~2002
793452839158690567910 ~2001
793474091158694818310 ~2001
793486157476091694310 ~2002
793519691158703938310 ~2001
793542671158708534310 ~2001
793591391158718278310 ~2001
793616171158723234310 ~2001
793618079158723615910 ~2001
793630511158726102310 ~2001
793640891158728178310 ~2001
793647551158729510310 ~2001
Exponent Prime Factor Digits Year
793687343158737468710 ~2001
7937074271269931883311 ~2003
793731143158746228710 ~2001
793739123158747824710 ~2001
793754177476252506310 ~2002
793783379158756675910 ~2001
793788533476273119910 ~2002
793794671158758934310 ~2001
793811831158762366310 ~2001
793820099158764019910 ~2001
793845037476307022310 ~2002
793895171158779034310 ~2001
793897681476338608710 ~2002
793916821476350092710 ~2002
793955671793955671110 ~2002
793967171158793434310 ~2001
793967963158793592710 ~2001
793971301476382780710 ~2002
793986359158797271910 ~2001
793988579158797715910 ~2001
7940019193811209211311 ~2004
794014139158802827910 ~2001
794020163158804032710 ~2001
794022143158804428710 ~2001
794025983158805196710 ~2001
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25-07-20