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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
473892761284335656710 ~2000
4738983119477966239 ~1999
4738997999477995999 ~1999
4739050319478100639 ~1999
47392838313743923107112 ~2004
4739425439478850879 ~1999
473951047473951047110 ~2000
4739567519479135039 ~1999
4739818011516741763311 ~2002
4740038639480077279 ~1999
4740239171137657400911 ~2001
4740361919480723839 ~1999
474054629663676480710 ~2001
4740646919481293839 ~1999
474080627853345128710 ~2001
4740936494456480300711 ~2003
4740940319481880639 ~1999
474114497284468698310 ~2000
4741326119482652239 ~1999
4741425231137942055311 ~2001
4741532039483064079 ~1999
4741580999483161999 ~1999
4741647599483295199 ~1999
4741979039483958079 ~1999
4742178839484357679 ~1999
Exponent Prime Factor Digits Year
4742579519485159039 ~1999
474258973284555383910 ~2000
474300811474300811110 ~2000
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
4744458839488917679 ~1999
474449351379559480910 ~2000
474469399474469399110 ~2000
Exponent Prime Factor Digits Year
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
474633629664487080710 ~2001
474650117284790070310 ~2000
4746502439493004879 ~1999
4746688799493377599 ~1999
Exponent Prime Factor Digits Year
4746700439493400879 ~1999
474691439379753151310 ~2000
4746949199493898399 ~1999
4747144199494288399 ~1999
4747254239494508479 ~1999
474727531474727531110 ~2000
474729679474729679110 ~2000
474729701379783760910 ~2000
4747452599494905199 ~1999
4747453199494906399 ~1999
474747277284848366310 ~2000
4747480199494960399 ~1999
4748003639496007279 ~1999
474803137284881882310 ~2000
4748106599496213199 ~1999
474813617284888170310 ~2000
474834307474834307110 ~2000
4748377199496754399 ~1999
474839627379871701710 ~2000
4748585999497171999 ~1999
474895957284937574310 ~2000
474897209379917767310 ~2000
474898841284939304710 ~2000
474905477664867667910 ~2001
474910481379928384910 ~2000
3170
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25-05-04