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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
311815162363037 ~1982
311821162364237 ~1982
311831962366397 ~1982
3118333935499918 ~1985
311834362366877 ~1982
3118441935532318 ~1985
311849962369997 ~1982
3118601187116078 ~1983
311869162373837 ~1982
311876362375277 ~1982
3118807311880718 ~1983
3118897499023538 ~1984
3118931249514498 ~1983
3118937436651198 ~1984
3119167561450078 ~1984
31191671497200179
3119317187159038 ~1983
311941162388237 ~1982
3119491499118578 ~1984
311966362393277 ~1982
311978362395677 ~1982
3119981187198878 ~1983
31199811934388239
3120083748819938 ~1984
3120233936069918 ~1985
Exp. Prime Factor Digits Year
3120407561673278 ~1984
3120527249642178 ~1983
312056362411277 ~1982
312067162413437 ~1982
3120791249663298 ~1983
3120989249679138 ~1983
3120989436938478
3121087312108718 ~1983
312137962427597 ~1982
3121427249714178 ~1983
312161962432397 ~1982
3121619249729538
3121663312166318 ~1983
312169162433837 ~1982
3121981187318878 ~1983
3122107561979278 ~1984
3122143312214318 ~1983
312221962444397 ~1982
3122261187335678 ~1983
3122261249780898
3122347312234718 ~1983
3122447562040478 ~1984
3122473686944078 ~1984
3122491312249118 ~1983
3122671312267118 ~1983
Exp. Prime Factor Digits Year
3122711999267538 ~1985
3122719312271918 ~1983
312302362460477 ~1982
3123061187383678 ~1983
3123181187390878 ~1983
31232872061369439 ~1985
31234991311869599 ~1985
312362362472477 ~1982
312367162473437 ~1982
3123671249893698
3123689437316478 ~1984
3123709749690178 ~1984
312386362477277 ~1982
312395962479197 ~1982
3123973187438398 ~1983
3123977187438638 ~1983
3124117187447038 ~1983
3124171499867378 ~1984
3124307249944578 ~1983
3124313187458798 ~1983
3124313437403838
3124421187465278 ~1983
3124691562444398 ~1984
3124811562465998 ~1984
3124843499974898 ~1984
Exp. Prime Factor Digits Year
312487162497437 ~1982
3124883749971938 ~1984
3124963499994098 ~1984
31249998749997219 ~1987
3125009437501278 ~1984
3125021250001698 ~1983
3125051562509198 ~1984
312509962501997 ~1982
312518362503677 ~1982
3125257500041138 ~1984
312535162507037 ~1982
312545962509197 ~1982
3125527562594878 ~1984
3125737187544238 ~1983
3125809687677998 ~1984
3125921937776318 ~1985
3126031500164978 ~1984
31263533001298899 ~1986
3126509250120738 ~1983
3126661187599678 ~1983
3126727500276338 ~1984
312673162534637 ~1982
31267911313252239 ~1985
3126857187611438 ~1983
3126901938070318 ~1985
508
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25-04-13