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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
697523279139504655910 ~2000
697556477418533886310 ~2001
697615511139523102310 ~2000
697666433976733006310 ~2002
697694111139538822310 ~2000
697700579139540115910 ~2000
697706699139541339910 ~2000
697750211139550042310 ~2000
697757891139551578310 ~2000
697791343697791343110 ~2002
6978079331674739039311 ~2003
697826663139565332710 ~2000
697837799139567559910 ~2000
697881937418729162310 ~2001
697889039139577807910 ~2000
6979200011535424002311 ~2003
697956631697956631110 ~2002
697959841418775904710 ~2001
697959979697959979110 ~2002
697975379558380303310 ~2002
697983371139596674310 ~2000
698013781418808268710 ~2001
698034839139606967910 ~2000
698075663139615132710 ~2000
698082221418849332710 ~2001
Exponent Prime Factor Digits Year
698113379139622675910 ~2000
698136899139627379910 ~2000
6981378312792551324111 ~2003
698175743139635148710 ~2000
698176091139635218310 ~2000
698198723139639744710 ~2000
6982010892094603267111 ~2003
698223671139644734310 ~2000
698259521558607616910 ~2002
6982619531117219124911 ~2002
6982743611536203594311 ~2003
698359331139671866310 ~2000
698423003139684600710 ~2000
698451491558761192910 ~2002
698453303139690660710 ~2000
698507879139701575910 ~2000
698510261558808208910 ~2002
698521841558817472910 ~2002
698551411698551411110 ~2002
698552891139710578310 ~2000
698596751139719350310 ~2000
698612483139722496710 ~2000
6986384813912375493711 ~2004
698641991139728398310 ~2000
698643299139728659910 ~2000
Exponent Prime Factor Digits Year
698657411139731482310 ~2000
698660939139732187910 ~2000
698661599139732319910 ~2000
698675423139735084710 ~2000
698692081419215248710 ~2001
698714441419228664710 ~2001
698728559139745711910 ~2000
698736539139747307910 ~2000
698748023139749604710 ~2000
6987648111257776659911 ~2002
698768159139753631910 ~2000
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
Exponent Prime Factor Digits Year
698968499139793699910 ~2000
698978771139795754310 ~2000
698989979139797995910 ~2000
699012311139802462310 ~2000
699032699139806539910 ~2000
699039251139807850310 ~2000
699048121419428872710 ~2001
6990502271118480363311 ~2002
699061619139812323910 ~2000
699069179139813835910 ~2000
699073499139814699910 ~2000
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
699279083139855816710 ~2000
3378
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25-06-08