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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
2557663255766318 ~1983
2557781153466878 ~1982
2557781767334318
2557813153468798 ~1982
25578131381219039
255782351156477 ~1981
255793151158637 ~1981
2558021972047998 ~1984
25581312097667439 ~1985
2558173153490398 ~1982
25582195730410579 ~1986
2558287255828718 ~1983
255841151168237 ~1981
2558419255841918 ~1983
2558581409372978 ~1983
2558683409389298 ~1983
2558791409406578 ~1983
2558909972385438 ~1984
255907151181437 ~1981
2559077153544638 ~1982
2559077358270798
2559079614178978 ~1984
255938351187677 ~1981
2559437153566238 ~1982
2559461153567678 ~1982
Exp. Prime Factor Digits Year
2559553153573198 ~1982
2559619460731438 ~1983
255973151194637 ~1981
25598272303844319 ~1985
255983951196797 ~1981
2559839460771038
2560039460807038 ~1983
2560367204829378 ~1982
2560721204857698 ~1982
2560793819453778 ~1984
2560823614597538 ~1984
2560891409742578 ~1983
256097951219597 ~1981
2560997204879778 ~1982
256106351221277 ~1981
256123151224637 ~1981
25614117223179039 ~1986
256142351228477 ~1981
256165151233037 ~1981
2561653153699198 ~1982
2561737153704238 ~1982
25617431024697219 ~1984
25618071280903519 ~1984
2561857614845698 ~1984
256196351239277 ~1981
Exp. Prime Factor Digits Year
256201151240237 ~1981
256202351240477 ~1981
2562097409935538 ~1983
256223951244797 ~1981
2562317204985378 ~1982
25625512306295919 ~1985
2562557205004578 ~1982
256261151252237 ~1981
2562737358783198 ~1983
2562943410070898 ~1983
2563003410080498 ~1983
2563007615121698 ~1984
2563013153780798 ~1982
2563117153787038 ~1982
2563147410103538 ~1983
2563193153791598 ~1982
2563667615280098 ~1984
256375151275037 ~1981
256376351275277 ~1981
2563777410204338 ~1983
2563811205104898 ~1982
2564321153859278 ~1982
2564327205146178 ~1982
2564347157963775310 ~1987
256442351288477 ~1981
Exp. Prime Factor Digits Year
256451951290397 ~1981
256465151293037 ~1981
2564657615517698 ~1984
2564741153884478 ~1982
2565061153903678 ~1982
2565391461770398 ~1983
256561151312237 ~1981
2565917205273378 ~1982
2565989359238478 ~1983
2565989615837378
2566021153961278 ~1982
256613951322797 ~1981
256616351323277 ~1981
2566261410601778 ~1983
2566351461943198 ~1983
25666511693989679 ~1985
256685951337197 ~1981
25670411796928719 ~1985
2567177359404798 ~1983
2567179256717918 ~1983
2567233410757298 ~1983
256742351348477 ~1981
2567471205397698 ~1982
256753151350637 ~1981
25675993337878719 ~1985
448
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25-04-13