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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.
Exp. Prime Factor Digits Year
6243361374601678 ~1985
6244079124881598 ~1984
6244643124892878 ~1984
6244873374692398 ~1985
6245017999202738 ~1986
6245051124901038 ~1984
6245387499630978 ~1986
6245497374729838 ~1985
6245587624558718 ~1986
62458871124259679 ~1986
6245923624592318 ~1986
6245947624594718 ~1986
6246199624619918 ~1986
6246239124924798 ~1984
62463191124337439 ~1986
6246371124927438 ~1984
6246811624681118 ~1986
6246893374813598 ~1985
6246983124939678 ~1984
6247127499770178 ~1986
6247343124946878 ~1984
6247433374845998 ~1985
6247537374852238 ~1985
62475411874262319 ~1987
6247583124951678 ~1984
Exp. Prime Factor Digits Year
6247859124957198 ~1984
6247897374873838 ~1985
6248069499845538 ~1986
6248119624811918 ~1986
6248591124971838 ~1984
62486531499676739 ~1987
6248773374926398 ~1985
6249359124987198 ~1984
6249361374961678 ~1985
6249539124990798 ~1984
6249563124991278 ~1984
6249679164991525710 ~1989
6249697374981838 ~1985
6249913374994798 ~1985
6249959124999198 ~1984
6250087625008718 ~1986
62503931375086479 ~1987
6250459625045918 ~1986
62504931500118339 ~1987
6250697500055778 ~1986
6250759625075918 ~1986
6251137375068238 ~1985
6251183125023678 ~1984
62515872125539599 ~1987
62516691500400579 ~1987
Exp. Prime Factor Digits Year
6251711125034238 ~1984
6251717500137378 ~1986
6251737375104238 ~1985
6251831125036638 ~1984
6252143125042878 ~1984
6252427625242718 ~1986
6252611500208898 ~1986
62531413001507699 ~1987
6253151125063038 ~1984
6253271500261698 ~1986
6253391125067838 ~1984
62535431000566899 ~1986
6253783625378318 ~1986
6253901375234078 ~1985
62539013001872499
6253979125079598 ~1984
62541794002674579 ~1988
6254411125088238 ~1984
6254411500352898
6254621375277278 ~1985
6254639125092798 ~1984
6255343625534318 ~1986
62556071126009279 ~1986
6255797500463778 ~1986
6255803125116078 ~1984
Exp. Prime Factor Digits Year
6255913375354798 ~1985
6255989500479138 ~1986
6256031125120638 ~1984
6256093375365598 ~1985
6256127500490178 ~1986
6256169500493538 ~1986
6256223125124478 ~1984
6256297375377838 ~1985
6256333375379998 ~1985
6256351625635118 ~1986
62563811376403839 ~1987
6256469500517538 ~1986
6256511125130238 ~1984
6256541500523298 ~1986
6256693375401598 ~1985
6256751125135038 ~1984
6256753375405198 ~1985
6256981375418878 ~1985
62571612878294079 ~1987
6257171125143438 ~1984
6257249500579938 ~1986
62573871501772899 ~1987
62574293003565939 ~1987
62574311001188979 ~1986
6257519125150398 ~1984
776
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25-05-04