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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
790902071158180414310 ~2000
790909811158181962310 ~2000
790931417632745133710 ~2002
790949723158189944710 ~2000
791039303158207860710 ~2000
791049719158209943910 ~2000
791050391158210078310 ~2000
791051711158210342310 ~2000
791055311158211062310 ~2000
791055983158211196710 ~2000
791123897632899117710 ~2002
791128391158225678310 ~2000
791155657474693394310 ~2002
791165951158233190310 ~2000
791178959158235791910 ~2000
791188883158237776710 ~2000
791189153474713491910 ~2002
791213963158242792710 ~2000
791252783158250556710 ~2000
791268083158253616710 ~2000
791286311158257262310 ~2000
791308781474785268710 ~2002
791316479158263295910 ~2000
791325011158265002310 ~2000
791328899633063119310 ~2002
Exponent Prime Factor Digits Year
791364853474818911910 ~2002
7914091631266254660911 ~2003
791417633474850579910 ~2002
791418443158283688710 ~2000
791454659158290931910 ~2000
791474303158294860710 ~2000
791529779158305955910 ~2000
791533079633226463310 ~2002
791578523158315704710 ~2000
791582663158316532710 ~2000
791587631158317526310 ~2000
7915936311424868535911 ~2003
791600063158320012710 ~2000
791600339158320067910 ~2000
791608151158321630310 ~2000
7916291695699730016911 ~2004
7916778493800053675311 ~2004
791794637475076782310 ~2002
791801999158360399910 ~2000
791819681475091808710 ~2002
791827453475096471910 ~2002
791862611158372522310 ~2000
791890139158378027910 ~2000
791894219158378843910 ~2000
791919851158383970310 ~2000
Exponent Prime Factor Digits Year
791974811158394962310 ~2000
791989799158397959910 ~2000
791997131158399426310 ~2000
792010139158402027910 ~2000
792046163158409232710 ~2000
792062363158412472710 ~2000
792112151158422430310 ~2000
792144491158428898310 ~2000
792150563158430112710 ~2000
7921582915703539695311 ~2004
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
Exponent Prime Factor Digits Year
792457511158491502310 ~2000
792503363158500672710 ~2000
792526681475516008710 ~2002
7925672891743648035911 ~2003
792572831158514566310 ~2000
792593891158518778310 ~2000
792633251158526650310 ~2000
792650363158530072710 ~2000
792671783158534356710 ~2000
792704777475622866310 ~2002
792713063158542612710 ~2000
792726059158545211910 ~2000
792729131158545826310 ~2000
792747017475648210310 ~2002
792798241475678944710 ~2002
792860483158572096710 ~2000
792871657475722994310 ~2002
792885539158577107910 ~2000
792893819158578763910 ~2000
792906839158581367910 ~2000
792914471158582894310 ~2000
792950153475770091910 ~2002
793008617634406893710 ~2002
793012817634410253710 ~2002
793042931158608586310 ~2000
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25-05-04