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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
659338763131867752710 ~2000
659353031131870606310 ~2000
659370611131874122310 ~2000
659400503131880100710 ~2000
659428613395657167910 ~2001
659449523131889904710 ~2000
6594591831714593875911 ~2003
6594917693165560491311 ~2003
659547731527638184910 ~2001
6595869531978760859111 ~2003
659607671131921534310 ~2000
659608991131921798310 ~2000
659609243131921848710 ~2000
659610071131922014310 ~2000
6596331973034312706311 ~2003
659669519131933903910 ~2000
659685683131937136710 ~2000
659689619131937923910 ~2000
659702339131940467910 ~2000
659707019131941403910 ~2000
659724239131944847910 ~2000
659749873395849923910 ~2001
659759459131951891910 ~2000
659787239131957447910 ~2000
659813243131962648710 ~2000
Exponent Prime Factor Digits Year
659875039659875039110 ~2002
659883131131976626310 ~2000
659935973395961583910 ~2001
659978303131995660710 ~2000
659983697395990218310 ~2001
660041219528032975310 ~2001
660050459132010091910 ~2000
660051793396031075910 ~2001
660076271132015254310 ~2000
660086711132017342310 ~2000
660119353396071611910 ~2001
660122363132024472710 ~2000
660133091132026618310 ~2000
660165179132033035910 ~2000
660180803132036160710 ~2000
660188351132037670310 ~2000
6601983371584476008911 ~2003
660206171132041234310 ~2000
6602214892112708764911 ~2003
660238169528190535310 ~2001
660245219132049043910 ~2000
660245819132049163910 ~2000
660283271132056654310 ~2000
660290881396174528710 ~2001
660309953396185971910 ~2001
Exponent Prime Factor Digits Year
660351313396210787910 ~2001
6603815231584915655311 ~2003
660384479132076895910 ~2000
660393323132078664710 ~2000
660394739132078947910 ~2000
660411821396247092710 ~2001
660415979132083195910 ~2000
660442823132088564710 ~2000
660451163132090232710 ~2000
660480179132096035910 ~2000
660515917396309550310 ~2001
660540239132108047910 ~2000
660572651528458120910 ~2001
660592739132118547910 ~2000
660608303132121660710 ~2000
660611291132122258310 ~2000
660612383132122476710 ~2000
660627277396376366310 ~2001
660708011132141602310 ~2000
660716183132143236710 ~2000
660743771132148754310 ~2000
660759623132151924710 ~2000
660783611132156722310 ~2000
660811513396486907910 ~2001
660831023132166204710 ~2000
Exponent Prime Factor Digits Year
660846503132169300710 ~2000
660864097396518458310 ~2001
660896231132179246310 ~2000
660911243132182248710 ~2000
6609390791586253789711 ~2003
660988439132197687910 ~2000
660991147660991147110 ~2002
660997993396598795910 ~2001
661001909528801527310 ~2001
661007219132201443910 ~2000
661009103132201820710 ~2000
6610135693172865131311 ~2003
661045241528836192910 ~2001
661052519132210503910 ~2000
661056839132211367910 ~2000
661143239132228647910 ~2000
661146179132229235910 ~2000
661167239132233447910 ~2000
661190917396714550310 ~2001
6611948411983584523111 ~2003
661207097396724258310 ~2001
661276991529021592910 ~2001
661279511132255902310 ~2000
661283237396769942310 ~2001
661292531132258506310 ~2000
3288
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25-04-13