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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
662053583132410716710 ~2000
662061227529648981710 ~2001
662063033397237819910 ~2001
662075363132415072710 ~2000
662086171662086171110 ~2002
662093879132418775910 ~2000
662099233397259539910 ~2001
662106239132421247910 ~2000
662117699132423539910 ~2000
662154133397292479910 ~2001
662194499132438899910 ~2000
662213339132442667910 ~2000
662225099132445019910 ~2000
6622702373576259279911 ~2003
662277779132455555910 ~2000
6622846811059655489711 ~2002
662289671132457934310 ~2000
6622931291986879387111 ~2003
662330917397398550310 ~2001
662338763132467752710 ~2000
662353691132470738310 ~2000
662355131132471026310 ~2000
6623585232781905796711 ~2003
6623752992252076016711 ~2003
662392151132478430310 ~2000
Exponent Prime Factor Digits Year
662415983132483196710 ~2000
662420543132484108710 ~2000
662425103132485020710 ~2000
662426711132485342310 ~2000
662428703132485740710 ~2000
662466797397480078310 ~2001
6624700571059952091311 ~2002
662471339132494267910 ~2000
662493563132498712710 ~2000
6625243216757748074311 ~2004
662542763132508552710 ~2000
662582737397549642310 ~2001
662624531132524906310 ~2000
662636171132527234310 ~2000
662658131132531626310 ~2000
662668541530134832910 ~2001
662676719530141375310 ~2001
6626816273711017111311 ~2003
662693483132538696710 ~2000
6627090671060334507311 ~2002
662724383132544876710 ~2000
662726063132545212710 ~2000
6627458032783532372711 ~2003
662770079132554015910 ~2000
662781611132556322310 ~2000
Exponent Prime Factor Digits Year
662782079132556415910 ~2000
662792213397675327910 ~2001
66280924920547086719112 ~2005
662821513397692907910 ~2001
662834363132566872710 ~2000
662845499132569099910 ~2000
662851379132570275910 ~2000
662852161397711296710 ~2001
6628645491590874917711 ~2003
6628665136761238432711 ~2004
662867603132573520710 ~2000
662874959530299967310 ~2001
662885159132577031910 ~2000
662887223132577444710 ~2000
662906999132581399910 ~2000
662911559132582311910 ~2000
662912219132582443910 ~2000
662927939132585587910 ~2000
662957051132591410310 ~2000
663000097397800058310 ~2001
663018899132603779910 ~2000
663029051132605810310 ~2000
663038899663038899110 ~2002
663054611132610922310 ~2000
663055499132611099910 ~2000
Exponent Prime Factor Digits Year
663073679132614735910 ~2000
663074231132614846310 ~2000
663077003132615400710 ~2000
663085583132617116710 ~2000
663092141397855284710 ~2001
663142079132628415910 ~2000
663152051132630410310 ~2000
663188303132637660710 ~2000
663192059132638411910 ~2000
663192779132638555910 ~2000
663194303132638860710 ~2000
663216623132643324710 ~2000
663220511132644102310 ~2000
663242663132648532710 ~2000
663253763132650752710 ~2000
663264083132652816710 ~2000
663318353397991011910 ~2001
663321671132664334310 ~2000
663334943132666988710 ~2000
663347819132669563910 ~2000
6633574331592057839311 ~2003
663373121398023872710 ~2001
663375599132675119910 ~2000
663410843132682168710 ~2000
663421091132684218310 ~2000
3541
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25-11-17