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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
31700111634002238 ~1990
317005611902033679 ~1991
31700723634014478 ~1990
31701431634028638 ~1990
31701479634029598 ~1990
317014971902089839 ~1991
317017393170173919 ~1991
31702019634040398 ~1990
317020393170203919 ~1991
31702343634046878 ~1990
317026612536212899 ~1991
317028131902168799 ~1991
31702871634057438 ~1990
31703099634061998 ~1990
31703183634063678 ~1990
31703471634069438 ~1990
31703519634070398 ~1990
31703879634077598 ~1990
31703999634079998 ~1990
31704059634081198 ~1990
31704161120475811910 ~1993
31704191634083838 ~1990
31704451152181364910 ~1993
31704539634090798 ~1990
31704839634096798 ~1990
Exponent Prime Factor Digits Year
31705379634107598 ~1990
31705571634111438 ~1990
317056497609355779 ~1992
31705991634119838 ~1990
31706219634124398 ~1990
31706579634131598 ~1990
31706723634134478 ~1990
31707191634143838 ~1990
31707491634149838 ~1990
317074974439049599 ~1992
317075171902451039 ~1991
317077995707403839 ~1992
31708343634166878 ~1990
317083677610008099 ~1992
31708811634176238 ~1990
31709519634190398 ~1990
31709759634195198 ~1990
31710719634214398 ~1990
31711139634222798 ~1990
31711391634227838 ~1990
31711499634229998 ~1990
317119571902717439 ~1991
31714019634280398 ~1990
31714811634296238 ~1990
31715003634300078 ~1990
Exponent Prime Factor Digits Year
31715219634304398 ~1990
31715483634309678 ~1990
31715891634317838 ~1990
31716479634329598 ~1990
31717139634342798 ~1990
317173811903042879 ~1991
31717799634355998 ~1990
31717883634357678 ~1990
31719071634381438 ~1990
31719791634395838 ~1990
31720103634402078 ~1990
31720439634408798 ~1990
31721759634435198 ~1990
31722503634450078 ~1990
31722539634450798 ~1990
31722851634457038 ~1990
317234939517047919 ~1992
31723619634472398 ~1990
31723859634477198 ~1990
31724603634492078 ~1990
31724963634499278 ~1990
317249713172497119 ~1991
317250616979513439 ~1992
31726823634536478 ~1990
31727471634549438 ~1990
Exponent Prime Factor Digits Year
31727519634550398 ~1990
31727639634552798 ~1990
31728611634572238 ~1990
31728863634577278 ~1990
31729319634586398 ~1990
317295131903770799 ~1991
31729583634591678 ~1990
317297211903783279 ~1991
31729739634594798 ~1990
31729751634595038 ~1990
317305331903831999 ~1991
317307172538457379 ~1991
31730771634615438 ~1990
31731131634622638 ~1990
31732163634643278 ~1990
31732391634647838 ~1990
31732751634655038 ~1990
317329011903974079 ~1991
31733231634664638 ~1990
31733459634669198 ~1990
31733783634675678 ~1990
31734179634683598 ~1990
317350011904100079 ~1991
31735031634700638 ~1990
31735079634701598 ~1990
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25-07-08