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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
790498721474299232710 ~2002
790518719158103743910 ~2001
790541723158108344710 ~2001
7905587893162235156111 ~2004
790561283158112256710 ~2001
7905642791423015702311 ~2003
790579631158115926310 ~2001
790585571158117114310 ~2001
790600541474360324710 ~2002
790615643158123128710 ~2001
790615739158123147910 ~2001
790621691158124338310 ~2001
7906220391897492893711 ~2003
790622603158124520710 ~2001
790640579158128115910 ~2001
790641503158128300710 ~2001
7906558932371967679111 ~2003
790674701474404820710 ~2002
790728083158145616710 ~2001
790735921474441552710 ~2002
790741517474444910310 ~2002
790750463158150092710 ~2001
79075487316289550383912 ~2005
790758071158151614310 ~2001
7907999411265279905711 ~2003
Exponent Prime Factor Digits Year
790803281474481968710 ~2002
790814723158162944710 ~2001
790835261474501156710 ~2002
7908635171898072440911 ~2003
790873211158174642310 ~2001
790902071158180414310 ~2001
790909811158181962310 ~2001
790931417632745133710 ~2002
790949723158189944710 ~2001
791039303158207860710 ~2001
791049719158209943910 ~2001
791050391158210078310 ~2001
791051711158210342310 ~2001
791055311158211062310 ~2001
791055983158211196710 ~2001
791078003158215600710 ~2001
791110751158222150310 ~2001
791123897632899117710 ~2002
791128391158225678310 ~2001
791134343158226868710 ~2001
791155657474693394310 ~2002
791165951158233190310 ~2001
791178959158235791910 ~2001
791188883158237776710 ~2001
791189153474713491910 ~2002
Exponent Prime Factor Digits Year
791213963158242792710 ~2001
791252783158250556710 ~2001
791268083158253616710 ~2001
791286311158257262310 ~2001
791308781474785268710 ~2002
791316479158263295910 ~2001
791325011158265002310 ~2001
791328899633063119310 ~2002
791364853474818911910 ~2002
7914091631266254660911 ~2003
791417633474850579910 ~2002
791418443158283688710 ~2001
791454659158290931910 ~2001
791474303158294860710 ~2001
791529779158305955910 ~2001
791533079633226463310 ~2002
791547611158309522310 ~2001
791575019158315003910 ~2001
791578523158315704710 ~2001
791582663158316532710 ~2001
791587631158317526310 ~2001
7915936311424868535911 ~2003
791600063158320012710 ~2001
791600339158320067910 ~2001
791608151158321630310 ~2001
Exponent Prime Factor Digits Year
7916291695699730016911 ~2004
7916778493800053675311 ~2004
791794637475076782310 ~2002
791801999158360399910 ~2001
791819681475091808710 ~2002
791827453475096471910 ~2002
791862611158372522310 ~2001
791890139158378027910 ~2001
791894219158378843910 ~2001
791919851158383970310 ~2001
791974811158394962310 ~2001
791989799158397959910 ~2001
791997131158399426310 ~2001
792010139158402027910 ~2001
792046163158409232710 ~2001
7920583672059351754311 ~2003
792062363158412472710 ~2001
7920688871425723996711 ~2003
792094463158418892710 ~2001
792112151158422430310 ~2001
792144491158428898310 ~2001
792150563158430112710 ~2001
7921582915703539695311 ~2004
792163763158432752710 ~2001
792172993475303795910 ~2002
3764
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26-03-15