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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 Dig. Year
56955272511139105450311 ~2007
56955587631139111752711 ~2007
56956558933417393535911 ~2008
569580032318226561033712 ~2010
56959362711139187254311 ~2007
56963299219114127873711 ~2009
56966447631139328952711 ~2007
569683129330762888982312 ~2011
56970543711139410874311 ~2007
56972580711139451614311 ~2007
56973518511139470370311 ~2007
56975876391139517527911 ~2007
569781821368373818556112 ~2012
56981305191139626103911 ~2007
569849083913676378013712 ~2010
56985396831139707936711 ~2007
56986155111139723102311 ~2007
56988992031139779840711 ~2007
56989731231139794624711 ~2007
56990441391139808827911 ~2007
56993596191139871923911 ~2007
56996564413419793864711 ~2008
56996706111139934122311 ~2007
56999027511139980550311 ~2007
57002612991140052259911 ~2007
Exponent Prime Factor Dig. Year
57011066391140221327911 ~2007
57011385111140227702311 ~2007
57012827391140256547911 ~2007
57016455831140329116711 ~2007
57019293231140385864711 ~2007
570198613913684766733712 ~2010
57020148231140402964711 ~2007
57021841791140436835911 ~2007
57023113191140462263911 ~2007
57023342511140466850311 ~2007
57024080511140481610311 ~2007
57024672231140493444711 ~2007
57028829631140576592711 ~2007
57029651391140593027911 ~2007
57030149511140602990311 ~2007
57033396711140667934311 ~2007
57034557533422073451911 ~2008
57035246391140704927911 ~2007
57035817111140716342311 ~2007
57035907591140718151911 ~2007
57039053031140781060711 ~2007
57043130391140862607911 ~2007
57043830111140876602311 ~2007
57045341511140906830311 ~2007
57050352111141007042311 ~2007
Exponent Prime Factor Dig. Year
57051012111141020242311 ~2007
57051219594564097567311 ~2009
57051719631141034392711 ~2007
57053045413423182724711 ~2008
57059555394564764431311 ~2009
57059563311141191266311 ~2007
57060277373423616642311 ~2008
57061162191141223243911 ~2007
570617214122824688564112 ~2010
57061743591141234871911 ~2007
57063114231141262284711 ~2007
570673204912554810507912 ~2010
57068461573424107694311 ~2008
57072586311141451726311 ~2007
57074942031141498840711 ~2007
57076047231141520944711 ~2007
57077045991141540919911 ~2007
57077505111141550102311 ~2007
57080218635708021863111 ~2009
570815950713699582816912 ~2010
57081658911141633178311 ~2007
57084082194566726575311 ~2009
57086919414566953552911 ~2009
57087605031141752100711 ~2007
57090041813425402508711 ~2008
Exponent Prime Factor Dig. Year
57093881991141877639911 ~2007
57096437391141928747911 ~2007
57097640773425858446311 ~2008
57098966391141979327911 ~2007
571014104917130423147112 ~2010
57102557511142051150311 ~2007
57103456573426207394311 ~2008
57104555391142091107911 ~2007
57105638835710563883111 ~2009
57109682511142193650311 ~2007
571098726713706369440912 ~2010
57111731511142234630311 ~2007
57117111111142342222311 ~2007
57117773391142355467911 ~2007
57119143431142382868711 ~2007
57122874591142457491911 ~2007
57123697911142473958311 ~2007
57124597374569967789711 ~2009
57125179973427510798311 ~2008
57125823831142516476711 ~2007
57127236831142544736711 ~2007
57127877391142557547911 ~2007
57130086831142601736711 ~2007
57133926973428035618311 ~2008
57135533991142710679911 ~2007
4761
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26-07-05