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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
473716393284229835910 ~2000
4737203999474407999 ~1999
4737242639474485279 ~1999
4737285839474571679 ~1999
4737327839474655679 ~1999
473748719852747694310 ~2001
4737516119475032239 ~1999
4737668999475337999 ~1999
4737778091137066741711 ~2001
4737941091800417614311 ~2002
4738124039476248079 ~1999
4738242839476485679 ~1999
4738367039476734079 ~1999
4738400639476801279 ~1999
4738437599476875199 ~1999
4738767839477535679 ~1999
4738769399477538799 ~1999
473892761284335656710 ~2000
4738951439477902879 ~1999
4738983119477966239 ~1999
4738997999477995999 ~1999
4739050319478100639 ~1999
47392838313743923107112 ~2004
4739324999478649999 ~1999
4739401199478802399 ~1999
Exponent Prime Factor Digits Year
4739425439478850879 ~1999
473951047473951047110 ~2000
4739567519479135039 ~1999
4739818011516741763311 ~2002
4740038639480077279 ~1999
4740239171137657400911 ~2001
4740361919480723839 ~1999
474054629663676480710 ~2001
4740646919481293839 ~1999
4740778331422233499111 ~2002
474080627853345128710 ~2001
4740936494456480300711 ~2003
4740940319481880639 ~1999
474100937379280749710 ~2000
474114497284468698310 ~2000
4741326119482652239 ~1999
4741425231137942055311 ~2001
4741532039483064079 ~1999
4741580999483161999 ~1999
4741647599483295199 ~1999
4741655519483311039 ~1999
4741979039483958079 ~1999
4742178839484357679 ~1999
4742579519485159039 ~1999
474258973284555383910 ~2000
Exponent Prime Factor Digits Year
474300811474300811110 ~2000
4743132239486264479 ~1999
4743158999486317999 ~1999
474324737284594842310 ~2000
4743293639486587279 ~1999
4743405611423021683111 ~2002
4743572039487144079 ~1999
4743718199487436399 ~1999
4743856439487712879 ~1999
4743883319487766639 ~1999
474390989379512791310 ~2000
474394201759030721710 ~2001
4743947039487894079 ~1999
4743965639487931279 ~1999
4743998399487996799 ~1999
4744017239488034479 ~1999
474402497284641498310 ~2000
474416381379533104910 ~2000
474420883474420883110 ~2000
4744280999488561999 ~1999
4744327439488654879 ~1999
4744447319488894639 ~1999
4744458839488917679 ~1999
474449351379559480910 ~2000
4744676891043828915911 ~2001
Exponent Prime Factor Digits Year
474469399474469399110 ~2000
4744870931138769023311 ~2001
4744965239489930479 ~1999
4744995839489991679 ~1999
474507071854112727910 ~2001
4745396039490792079 ~1999
4745461331138910719311 ~2001
474554539474554539110 ~2000
474561907759299051310 ~2001
4745651039491302079 ~1999
4745731199491462399 ~1999
4745776799491553599 ~1999
474584567379667653710 ~2000
4745951399491902799 ~1999
474596909379677527310 ~2000
4746081774081630322311 ~2003
4746123119492246239 ~1999
4746145319492290639 ~1999
4746146399492292799 ~1999
4746162119492324239 ~1999
4746239519492479039 ~1999
4746241199492482399 ~1999
4746323639492647279 ~1999
474633629664487080710 ~2001
474650117284790070310 ~2000
3476
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26-02-08