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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 Dig. Year
52705135431054102708711 ~2007
527058901125298827252912 ~2010
52706757831054135156711 ~2007
52707322311054146446311 ~2007
52707376791054147535911 ~2007
52707533514216602680911 ~2008
52708057191054161143911 ~2007
52710302631054206052711 ~2007
52712955591054259111911 ~2007
52714603191054292063911 ~2007
52722938991054458779911 ~2007
52727068213163624092711 ~2008
52727133591054542671911 ~2007
52728247311054564946311 ~2007
52731097573163865854311 ~2008
52731730791054634615911 ~2007
52734299511054685990311 ~2007
52735327791054706555911 ~2007
527402059715822061791112 ~2010
52741053831054821076711 ~2007
52743424813164605488711 ~2008
52749922794219993823311 ~2008
52751410494220112839311 ~2008
52752304311055046086311 ~2007
527548322313716256379912 ~2010
Exponent Prime Factor Dig. Year
52756647831055132956711 ~2007
52758193791055163875911 ~2007
52760551431055211028711 ~2007
52761326511055226530311 ~2007
52763607591055272151911 ~2007
52764262791055285255911 ~2007
52765311591055306231911 ~2007
52765597911055311958311 ~2007
52766688231055333764711 ~2007
52766753031055335060711 ~2007
52767135831055342716711 ~2007
52768025814221442064911 ~2008
52771204791055424095911 ~2007
52777227831055544556711 ~2007
52778235711055564714311 ~2007
52779679013166780740711 ~2008
52781171574222493725711 ~2008
52781177835278117783111 ~2009
52782023391055640467911 ~2007
52784112831055682256711 ~2007
52785163431055703268711 ~2007
52788833991055776679911 ~2007
52790088373167405302311 ~2008
527907035939065120656712 ~2011
52790966333167457979911 ~2008
Exponent Prime Factor Dig. Year
52792375431055847508711 ~2007
52793786031055875720711 ~2007
52793841111055876822311 ~2007
52797166791055943335911 ~2007
52798310213167898612711 ~2008
52798796391055975927911 ~2007
52800593631056011872711 ~2007
52801974795280197479111 ~2009
52803004791056060095911 ~2007
52808823111056176462311 ~2007
52808945813168536748711 ~2008
52815309591056306191911 ~2007
528293454111622455990312 ~2009
52830098991056601979911 ~2007
52830787191056615743911 ~2007
52832976111056659522311 ~2007
52835786694226862935311 ~2008
52841355111056827102311 ~2007
52842134391056842687911 ~2007
52846667031056933340711 ~2007
52848233337398752666311 ~2009
52855741813171344508711 ~2008
52855893831057117876711 ~2007
52856270511057125410311 ~2007
52857514311057150286311 ~2007
Exponent Prime Factor Dig. Year
52857592911057151858311 ~2007
52857782991057155659911 ~2007
52859227573171553654311 ~2008
52859615814228769264911 ~2008
52860341631057206832711 ~2007
52861127031057222540711 ~2007
528615956350747131804912 ~2011
52862952414229036192911 ~2008
52863067191057261343911 ~2007
52864582518458333201711 ~2009
52865524373171931462311 ~2008
52867884711057357694311 ~2007
52870740111057414802311 ~2007
52873921191057478423911 ~2007
528783802129611892917712 ~2010
52880443191057608863911 ~2007
52883478591057669571911 ~2007
52884416991057688339911 ~2007
528853127912692475069712 ~2010
52885544511057710890311 ~2007
52889700231057794004711 ~2007
52893117599520761166311 ~2009
52894398675289439867111 ~2009
52897580533173854831911 ~2008
52897624813173857488711 ~2008
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25-04-13