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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
698450681558760544910 ~2002
698453303139690660710 ~2000
698507879139701575910 ~2000
698510261558808208910 ~2002
698521841558817472910 ~2002
698551411698551411110 ~2002
698552891139710578310 ~2000
698589863139717972710 ~2000
698596751139719350310 ~2000
698612483139722496710 ~2000
6986384813912375493711 ~2004
698641991139728398310 ~2000
698643299139728659910 ~2000
698657411139731482310 ~2000
698660939139732187910 ~2000
698661599139732319910 ~2000
698675423139735084710 ~2000
698692081419215248710 ~2001
698704763139740952710 ~2000
698714441419228664710 ~2001
698728559139745711910 ~2000
698736539139747307910 ~2000
698748023139749604710 ~2000
6987648111257776659911 ~2002
698768159139753631910 ~2000
Exponent Prime Factor Digits Year
698788511139757702310 ~2000
698832791139766558310 ~2000
698838011139767602310 ~2000
698875643139775128710 ~2000
698877863139775572710 ~2000
698879663139775932710 ~2000
698887661559110128910 ~2002
698910881559128704910 ~2002
698911943139782388710 ~2000
698912939139782587910 ~2000
6989242499365584936711 ~2005
698940923139788184710 ~2000
698942591139788518310 ~2000
698947451139789490310 ~2000
698968499139793699910 ~2000
698978771139795754310 ~2000
698989979139797995910 ~2000
699012311139802462310 ~2000
699032699139806539910 ~2000
699039251139807850310 ~2000
699048121419428872710 ~2001
6990502271118480363311 ~2002
699061619139812323910 ~2000
699069179139813835910 ~2000
699073499139814699910 ~2000
Exponent Prime Factor Digits Year
6990883032376900230311 ~2003
699098843139819768710 ~2000
699111683139822336710 ~2000
699121499139824299910 ~2000
699139253978794954310 ~2002
699183763699183763110 ~2002
699187943139837588710 ~2000
699206363139841272710 ~2000
699208841559367072910 ~2002
699211559139842311910 ~2000
699214541419528724710 ~2001
699230711139846142310 ~2000
699238751139847750310 ~2000
699275903139855180710 ~2000
699279083139855816710 ~2000
699296063139859212710 ~2000
699311111139862222310 ~2000
699328691139865738310 ~2000
699374657419624794310 ~2001
699374783139874956710 ~2000
699385397559508317710 ~2002
699394799139878959910 ~2000
699399599559519679310 ~2002
699410051139882010310 ~2000
699410879139882175910 ~2000
Exponent Prime Factor Digits Year
699416831139883366310 ~2000
699466213419679727910 ~2001
699493979139898795910 ~2000
699500521419700312710 ~2001
699524459139904891910 ~2000
699555299139911059910 ~2000
699564539139912907910 ~2000
699573577419744146310 ~2001
699582599139916519910 ~2000
699610811139922162310 ~2000
699622223139924444710 ~2000
699639719139927943910 ~2000
699645613419787367910 ~2001
699658879699658879110 ~2002
699662423139932484710 ~2000
699688211139937642310 ~2000
699688337559750669710 ~2002
699693779139938755910 ~2000
699694379139938875910 ~2000
699702539139940507910 ~2000
699729599139945919910 ~2000
699757763139951552710 ~2000
699759779139951955910 ~2000
699760871139952174310 ~2000
699782351139956470310 ~2000
3550
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25-11-02