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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
31158311495598899 ~1985
311588362317677 ~1982
3116011311601118 ~1983
3116077186964638 ~1983
3116273186976398 ~1983
3116341186980478 ~1983
3116341498614578
3116417186985038 ~1983
3116609436325278 ~1984
3116611311661118 ~1983
311669962333997 ~1982
311678362335677 ~1982
3116837249346978 ~1983
3116951249356098 ~1983
3117031311703118 ~1983
311707162341437 ~1982
311720362344077 ~1982
3117461187047678 ~1983
3117461249396898
3117467249397378 ~1983
311747962349597 ~1982
3117481187048878 ~1983
3117553748212738 ~1984
3117661935298318 ~1985
3117679311767918 ~1983
Exp. Prime Factor Digits Year
311768362353677 ~1982
3117721187063278 ~1983
3117799748271778 ~1984
3117967561234078 ~1984
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
Exp. Prime Factor Digits Year
3119981187198878 ~1983
31199811934388239
3120083748819938 ~1984
3120233936069918 ~1985
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
Exp. Prime Factor Digits Year
3122447562040478 ~1984
3122473686944078 ~1984
3122491312249118 ~1983
3122671312267118 ~1983
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
509
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25-05-04