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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
52639985773158399146311 ~2008
52640553111052811062311 ~2007
52645630613158737836711 ~2008
52648163631052963272711 ~2007
52650896533159053791911 ~2008
52651311591053026231911 ~2007
52653164214212253136911 ~2008
52654240911053084818311 ~2007
52659813733159588823911 ~2008
52661127591053222551911 ~2007
52661459991053229199911 ~2007
52661720031053234400711 ~2007
52661948631053238972711 ~2007
52662891174213031293711 ~2008
52664650977373051135911 ~2009
52664653679479637660711 ~2009
52665296773159917806311 ~2008
52666681911053333638311 ~2007
52668251031053365020711 ~2007
52671004813160260288711 ~2008
52671805911053436118311 ~2007
52673770074213901605711 ~2008
52676357991053527159911 ~2007
52678271991053565439911 ~2007
52679774991053595499911 ~2007
Exponent Prime Factor Dig. Year
52680342831053606856711 ~2007
52683132231053662644711 ~2007
52686166573161169994311 ~2008
52689129733161347783911 ~2008
52691073231053821464711 ~2007
52691546879484478436711 ~2009
52692016275269201627111 ~2009
526927014730561766852712 ~2011
52697394591053947891911 ~2007
52697625231053952504711 ~2007
52697713191053954263911 ~2007
52698591831053971836711 ~2007
52699166213161949972711 ~2008
52699374831053987496711 ~2007
52699499418431919905711 ~2009
52702990914216239272911 ~2008
52703226414216258112911 ~2008
527049337312649184095312 ~2010
52705135431054102708711 ~2007
527058901125298827252912 ~2010
52706757831054135156711 ~2007
52707322311054146446311 ~2007
52707376791054147535911 ~2007
52707533514216602680911 ~2008
52708057191054161143911 ~2007
Exponent Prime Factor Dig. Year
52710302631054206052711 ~2007
52712955591054259111911 ~2007
52714603191054292063911 ~2007
52722938991054458779911 ~2007
52726764013163605840711 ~2008
52727068213163624092711 ~2008
52727133591054542671911 ~2007
52728247311054564946311 ~2007
52731097573163865854311 ~2008
52731730791054634615911 ~2007
52734299511054685990311 ~2007
52735327791054706555911 ~2007
52735529391054710587911 ~2007
52738595511054771910311 ~2007
527402059715822061791112 ~2010
52741053831054821076711 ~2007
52743424813164605488711 ~2008
52746369591054927391911 ~2007
52749922794219993823311 ~2008
52751410494220112839311 ~2008
52752304311055046086311 ~2007
52753222911055064458311 ~2007
527548322313716256379912 ~2010
52756647831055132956711 ~2007
52758193791055163875911 ~2007
Exponent Prime Factor Dig. Year
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
52792375431055847508711 ~2007
52793786031055875720711 ~2007
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25-11-02