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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
2779487500307678 ~1984
2779501166770078 ~1983
27796631167458479 ~1985
2779727500350878 ~1984
277981155596237 ~1981
2779873166792398 ~1983
2779873667169538
2780131278013118 ~1983
2780153166809198 ~1983
278024355604877 ~1981
278033955606797 ~1981
2780443278044318 ~1983
2780467667312098 ~1984
2780641166838478 ~1983
2780693166841598 ~1983
2780719278071918 ~1983
2780719500529438
2780761166845678 ~1983
2780773444923698 ~1984
2780887125139915110 ~1987
27809091724163599 ~1985
278095155619037 ~1981
278105955621197 ~1981
27812711168133839 ~1985
27813011112520419 ~1985
Exp. Prime Factor Digits Year
2781637166898238 ~1983
2781677222534178 ~1983
278168355633677 ~1981
278174355634877 ~1981
2781817166909038 ~1983
2781887222550978 ~1983
2781901166914078 ~1983
278195955639197 ~1981
27820091112803619 ~1985
2782069612055198 ~1984
278231955646397 ~1981
27825011113000419 ~1985
278252355650477 ~1981
2782567500862078 ~1984
278269155653837 ~1981
2782723445235698 ~1984
278285955657197 ~1981
2782861166971678 ~1983
27828771335780979 ~1985
2782937667904898 ~1984
278299155659837 ~1981
2783117222649378 ~1983
2783153166989198 ~1983
278321955664397 ~1981
2783267222661378 ~1983
Exp. Prime Factor Digits Year
2783281166996878 ~1983
2783477167008638 ~1983
278360355672077 ~1981
278366355673277 ~1981
27836631169138479
2783731278373118 ~1983
2783939668145378 ~1984
27840077182738079 ~1986
278405955681197 ~1981
2784149222731938 ~1983
2784371222749698 ~1983
278453955690797 ~1981
278459955691997 ~1981
2784689222775138 ~1983
278479155695837 ~1981
27848571559519939 ~1985
2784917167095038 ~1983
278501955700397 ~1981
278503155700637 ~1981
27850311559617379
278504355700877 ~1981
2785261167115678 ~1983
2785333668479938 ~1984
2785357668485698 ~1984
278543955708797 ~1981
Exp. Prime Factor Digits Year
278546355709277 ~1981
2785483278548318 ~1983
278551155710237 ~1981
2785697222855778 ~1983
278570355714077 ~1981
27857511337160499 ~1985
2785847668603298 ~1984
2785873167152398 ~1983
2785907222872578 ~1983
2785963445754098 ~1984
2785973668633538 ~1984
2785997167159838 ~1983
2786009390041278 ~1983
27861531560245699 ~1985
278621955724397 ~1981
278641155728237 ~1981
27864911170326239 ~1985
2786561891699538 ~1984
278657955731597 ~1981
2786669836000718 ~1984
27866811337606899 ~1985
2786909891810898 ~1984
2787017167221038 ~1983
2787017222961378
2787019466546980710 ~1988
490
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26-04-05