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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
707456591141491318310 ~2000
7074591711273426507911 ~2002
707470919141494183910 ~2000
707480951141496190310 ~2000
707493971141498794310 ~2000
707516837990523571910 ~2002
707526719141505343910 ~2000
707549159141509831910 ~2000
707553811707553811110 ~2002
707609537424565722310 ~2001
707660171141532034310 ~2000
707708843141541768710 ~2000
707723339141544667910 ~2000
707725979141545195910 ~2000
707768279141553655910 ~2000
707804351141560870310 ~2000
707833979141566795910 ~2000
707902651707902651110 ~2002
707911517424746910310 ~2001
707938397424763038310 ~2001
707941343141588268710 ~2000
707950163141590032710 ~2000
707958011141591602310 ~2000
707966591566373272910 ~2002
707984833424790899910 ~2001
Exponent Prime Factor Digits Year
707985779141597155910 ~2000
708026243141605248710 ~2000
708193043141638608710 ~2000
708239201566591360910 ~2002
708265333424959199910 ~2001
708286619141657323910 ~2000
708286811141657362310 ~2000
708308231141661646310 ~2000
7083093971133295035311 ~2002
708311099141662219910 ~2000
708313877424988326310 ~2001
708387923141677584710 ~2000
708390911141678182310 ~2000
708421391141684278310 ~2000
708427793425056675910 ~2001
708451283141690256710 ~2000
708515243141703048710 ~2000
708527219141705443910 ~2000
708549599141709919910 ~2000
7085510291558812263911 ~2003
708574121425144472710 ~2001
708595421566876336910 ~2002
708597671141719534310 ~2000
708606611141721322310 ~2000
708615337425169202310 ~2001
Exponent Prime Factor Digits Year
708632377425179426310 ~2001
708634319141726863910 ~2000
708647033425188219910 ~2001
708650617425190370310 ~2001
708668183141733636710 ~2000
708681443141736288710 ~2000
708696431141739286310 ~2000
708712831708712831110 ~2002
708721523141744304710 ~2000
708729251141745850310 ~2000
7087402431842724631911 ~2003
708746627566997301710 ~2002
708785279141757055910 ~2000
708831059141766211910 ~2000
708850739141770147910 ~2000
708865463141773092710 ~2000
708872771141774554310 ~2000
7088835832977311048711 ~2003
708906677567125341710 ~2002
708912959141782591910 ~2000
708913631141782726310 ~2000
708915611141783122310 ~2000
708957479141791495910 ~2000
708957563141791512710 ~2000
708959411141791882310 ~2000
Exponent Prime Factor Digits Year
708974219141794843910 ~2000
708996779141799355910 ~2000
709002839141800567910 ~2000
709021811141804362310 ~2000
709040939141808187910 ~2000
709053083141810616710 ~2000
709055311709055311110 ~2002
709058951141811790310 ~2000
7090853031701804727311 ~2003
709089191141817838310 ~2000
709089391709089391110 ~2002
709100459141820091910 ~2000
709101791141820358310 ~2000
709170961425502576710 ~2001
709184051141836810310 ~2000
709191443141838288710 ~2000
709197763709197763110 ~2002
709206637425523982310 ~2001
7092110471702106512911 ~2003
709263847709263847110 ~2002
709266539141853307910 ~2000
709277593425566555910 ~2001
709357921425614752710 ~2001
709391099141878219910 ~2000
709406681425644008710 ~2001
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25-04-13