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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
679951763135990352710 ~2000
679957979135991595910 ~2000
679967243135993448710 ~2000
679971317543977053710 ~2001
679990991135998198310 ~2000
680010911136002182310 ~2000
680012939136002587910 ~2000
680017199136003439910 ~2000
680033219136006643910 ~2000
680038243680038243110 ~2002
680047499136009499910 ~2000
680072231136014446310 ~2000
680078831136015766310 ~2000
680121251136024250310 ~2000
68013633711290263194312 ~2005
680138831136027766310 ~2000
680147243136029448710 ~2000
680148251136029650310 ~2000
680177639544142111310 ~2001
680183579136036715910 ~2000
680190503136038100710 ~2000
680192459136038491910 ~2000
680198399136039679910 ~2000
680230079136046015910 ~2000
680257751136051550310 ~2000
Exponent Prime Factor Digits Year
680263693408158215910 ~2001
680304203136060840710 ~2000
680308451136061690310 ~2000
680308523136061704710 ~2000
680312183136062436710 ~2000
680315683680315683110 ~2002
680327821408196692710 ~2001
6803332211496733086311 ~2003
680357233408214339910 ~2001
680387723136077544710 ~2000
680402363136080472710 ~2000
680417603136083520710 ~2000
680428559136085711910 ~2000
680433431136086686310 ~2000
680435579136087115910 ~2000
680447639136089527910 ~2000
680450087544360069710 ~2001
6804623092041386927111 ~2003
680503541408302124710 ~2001
680540713408324427910 ~2001
680561939136112387910 ~2000
680571263136114252710 ~2000
680574683136114936710 ~2000
680630591136126118310 ~2000
680641961408385176710 ~2001
Exponent Prime Factor Digits Year
680679143136135828710 ~2000
680687459136137491910 ~2000
680693963136138792710 ~2000
680703143136140628710 ~2000
680759591136151918310 ~2000
680767757544614205710 ~2001
680813051136162610310 ~2000
680823959136164791910 ~2000
680824223136164844710 ~2000
680845637408507382310 ~2001
680889659136177931910 ~2000
680892791136178558310 ~2000
680901779136180355910 ~2000
680903843136180768710 ~2000
680912753408547651910 ~2001
680944421544755536910 ~2001
680952491136190498310 ~2000
680974223136194844710 ~2000
680975051136195010310 ~2000
680977027680977027110 ~2002
680979443136195888710 ~2000
680988449544790759310 ~2001
680999639136199927910 ~2000
681005471136201094310 ~2000
681016883136203376710 ~2000
Exponent Prime Factor Digits Year
681017861408610716710 ~2001
681051011136210202310 ~2000
681055031136211006310 ~2000
681058277544846621710 ~2001
681074063136214812710 ~2000
681085043136217008710 ~2000
681101831136220366310 ~2000
681105979681105979110 ~2002
681107243136221448710 ~2000
6811453973678185143911 ~2003
681156401408693840710 ~2001
681158111136231622310 ~2000
6811776911089884305711 ~2002
681231731136246346310 ~2000
681232199544985759310 ~2001
6812622431635029383311 ~2003
6812661914905116575311 ~2004
681269003136253800710 ~2000
681312001408787200710 ~2001
681315611136263122310 ~2000
681320597408792358310 ~2001
681328559136265711910 ~2000
681329963136265992710 ~2000
681335939136267187910 ~2000
681340763136268152710 ~2000
3400
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25-07-08