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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
691029077552823261710 ~2002
691041311138208262310 ~2000
691045919138209183910 ~2000
691047241414628344710 ~2001
691058477414635086310 ~2001
69107780911610107191312 ~2005
691082939138216587910 ~2000
691088681552870944910 ~2002
691102739138220547910 ~2000
691107731138221546310 ~2000
691119133414671479910 ~2001
691120799138224159910 ~2000
691121831138224366310 ~2000
691134551552907640910 ~2002
691138241414682944710 ~2001
691186577414711946310 ~2001
691207931138241586310 ~2000
691236863138247372710 ~2000
691241801414745080710 ~2001
691260263138252052710 ~2000
691309727553047781710 ~2002
691365491553092392910 ~2002
691387379138277475910 ~2000
691392893414835735910 ~2001
691393897414836338310 ~2001
Exponent Prime Factor Digits Year
691407851138281570310 ~2000
691424171553139336910 ~2002
691446383138289276710 ~2000
691451759138290351910 ~2000
6914624411106339905711 ~2002
691493483138298696710 ~2000
6915045731106407316911 ~2002
691511603138302320710 ~2000
691562279138312455910 ~2000
691569617414941770310 ~2001
691572641414943584710 ~2001
691573703138314740710 ~2000
691583813414950287910 ~2001
691617539138323507910 ~2000
691618043138323608710 ~2000
691627823138325564710 ~2000
691628183138325636710 ~2000
691629023138325804710 ~2000
691633277414979966310 ~2001
691634711138326942310 ~2000
691651739138330347910 ~2000
691672451138334490310 ~2000
691676291138335258310 ~2000
691682083691682083110 ~2002
691693643138338728710 ~2000
Exponent Prime Factor Digits Year
691696079138339215910 ~2000
691703843138340768710 ~2000
691731707553385365710 ~2002
691755671138351134310 ~2000
691757051138351410310 ~2000
691757663138351532710 ~2000
691787693415072615910 ~2001
6918114231798709699911 ~2003
691832857415099714310 ~2001
691840091138368018310 ~2000
691855319138371063910 ~2000
691858619138371723910 ~2000
691882403138376480710 ~2000
691882799138376559910 ~2000
691896743138379348710 ~2000
691921211138384242310 ~2000
691921319138384263910 ~2000
691939343138387868710 ~2000
691977983138395596710 ~2000
691979243138395848710 ~2000
692000219138400043910 ~2000
692014343138402868710 ~2000
692043371553634696910 ~2002
692048243138409648710 ~2000
692069123138413824710 ~2000
Exponent Prime Factor Digits Year
692072651138414530310 ~2000
692111243138422248710 ~2000
692111663138422332710 ~2000
692135231138427046310 ~2000
6921675013183970504711 ~2003
692178923138435784710 ~2000
692203103138440620710 ~2000
6922062371107529979311 ~2002
692210999138442199910 ~2000
692228951138445790310 ~2000
692239573415343743910 ~2001
692248841553799072910 ~2002
692266753415360051910 ~2001
692294159138458831910 ~2000
692295083138459016710 ~2000
692317271138463454310 ~2000
692323013415393807910 ~2001
692375891138475178310 ~2000
692394611138478922310 ~2000
692413619553930895310 ~2002
692499911138499982310 ~2000
692511191138502238310 ~2000
692534963138506992710 ~2000
6925370771108059323311 ~2002
692538941415523364710 ~2001
3407
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25-07-08