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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
2783281166996878 ~1983
2783477167008638 ~1983
278360355672077 ~1981
278366355673277 ~1981
27836631169138479
2783731278373118 ~1983
2783939668145378 ~1984
27840077182738079 ~1987
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
Exp. Prime Factor Digits Year
2787299501713838 ~1984
2787409836222718 ~1984
278744355748877 ~1981
2787461167247678 ~1983
278750355750077 ~1981
2787503724750798
2787557167253438 ~1983
2787557223004578
2787769669064578 ~1984
2787977167278638 ~1983
278819955763997 ~1981
2788301223064098 ~1983
2788531278853118 ~1983
278861955772397 ~1981
2788619223089538
2788627501952878 ~1984
2788829669318978 ~1984
278897955779597 ~1981
278906355781277 ~1981
2789117167347038 ~1983
27894593570507539 ~1986
2789477223158178 ~1983
2789483669475938 ~1984
2789729223178338 ~1983
2789777167386638 ~1983
Exp. Prime Factor Digits Year
278993955798797 ~1981
2790209390629278 ~1983
2790311725480878 ~1984
2790421167425278 ~1983
2790497167429838 ~1983
2790647725568238 ~1984
2790883279088318 ~1983
2791093167465598 ~1983
2791109390755278 ~1983
2791469223317538 ~1983
27915411563262979 ~1985
27915491116619619 ~1985
279155955831197 ~1981
2791561614143438 ~1984
2791783279178318 ~1983
2791799502523838 ~1984
2791837167510238 ~1983
2791849614206798 ~1984
2791963670071138 ~1984
279197955839597 ~1981
279209955841997 ~1981
279217155843437 ~1981
2792249223379938 ~1983
2792261223380898 ~1983
279235155847037 ~1981
497
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26-08-30