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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
4608444383921688876710 ~2007
46085225537373636084911 ~2009
4608559619921711923910 ~2007
4608592283921718456710 ~2007
460883872318435354892112 ~2010
46089007132765340427911 ~2008
4609018871921803774310 ~2007
46094537332765672239911 ~2008
4609666751921933350310 ~2007
4609753331921950666310 ~2007
46098726678297770800711 ~2009
4609900391921980078310 ~2007
4609926383921985276710 ~2007
4610143199922028639910 ~2007
4610330771922066154310 ~2007
4610520251922104050310 ~2007
4610532791922106558310 ~2007
4610688539922137707910 ~2007
4610846651922169330310 ~2007
4611065183922213036710 ~2007
46113367332766802039911 ~2008
4611513299922302659910 ~2007
4611523151922304630310 ~2007
4611700283922340056710 ~2007
4611703319922340663910 ~2007
Exponent Prime Factor Digits Year
4611758171922351634310 ~2007
46119170412767150224711 ~2008
4612180763922436152710 ~2007
4612297031922459406310 ~2007
4612458299922491659910 ~2007
46124787077379965931311 ~2009
4612577243922515448710 ~2007
4612647563922529512710 ~2007
4612868783922573756710 ~2007
4612880423922576084710 ~2007
4613221163922644232710 ~2007
4613308163922661632710 ~2007
4613444999922688999910 ~2007
4613466659922693331910 ~2007
4613634491922726898310 ~2007
46136840212768210412711 ~2008
4613781383922756276710 ~2007
4613937299922787459910 ~2007
46139455073691156405711 ~2008
46139611732768376703911 ~2008
46141999212768519952711 ~2008
46143464237382954276911 ~2009
4614396659922879331910 ~2007
4614800819922960163910 ~2007
4614822791922964558310 ~2007
Exponent Prime Factor Digits Year
4614830579922966115910 ~2007
46153759793692300783311 ~2008
46154248332769254899911 ~2008
4615482419923096483910 ~2007
46155120612769307236711 ~2008
4615560479923112095910 ~2007
4615615271923123054310 ~2007
4615771619923154323910 ~2007
4615885199923177039910 ~2007
4615938791923187758310 ~2007
46159609572769576574311 ~2008
4616216471923243294310 ~2007
4616315531923263106310 ~2007
4616373623923274724710 ~2007
46166231336463272386311 ~2009
4616623631923324726310 ~2007
46169226012770153560711 ~2008
4616936963923387392710 ~2007
46169730078310551412711 ~2009
46171030136463944218311 ~2009
4617156311923431262310 ~2007
46173765413693901232911 ~2008
4617498923923499784710 ~2007
46176902932770614175911 ~2008
461774210911082581061712 ~2009
Exponent Prime Factor Digits Year
4617790319923558063910 ~2007
461802097324937313254312 ~2010
4618095899923619179910 ~2007
4618138883923627776710 ~2007
4618214963923642992710 ~2007
461828236315702160034312 ~2010
46182946976465612575911 ~2009
46184548918313218803911 ~2009
461871139318474845572112 ~2010
4618717739923743547910 ~2007
4618835579923767115910 ~2007
4618972271923794454310 ~2007
461915965318476638612112 ~2010
4619179979923835995910 ~2007
46193197373695455789711 ~2008
46193973372771638402311 ~2008
46195296593695623727311 ~2008
4619546471923909294310 ~2007
4619806283923961256710 ~2007
4620133403924026680710 ~2007
4620276299924055259910 ~2007
4620282539924056507910 ~2007
4620314123924062824710 ~2007
4620393551924078710310 ~2007
4620653231924130646310 ~2007
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26-03-08