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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
2561857614845698 ~1984
256196351239277 ~1981
256201151240237 ~1981
256202351240477 ~1981
2562097409935538 ~1983
256223951244797 ~1981
25622534868280719 ~1986
2562317204985378 ~1983
25625512306295919 ~1985
2562557205004578 ~1983
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 ~1983
2564321153859278 ~1982
Exp. Prime Factor Digits Year
2564327205146178 ~1983
2564347157963775310 ~1987
256442351288477 ~1981
256451951290397 ~1981
256465151293037 ~1981
2564657615517698 ~1984
25647013847051519 ~1986
2564741153884478 ~1982
2565061153903678 ~1982
2565347666990238 ~1984
2565391461770398 ~1983
256561151312237 ~1981
2565917205273378 ~1983
2565989359238478 ~1983
2565989615837378
2566013123168624110 ~1987
2566021153961278 ~1982
256613951322797 ~1981
256616351323277 ~1981
2566261410601778 ~1983
2566351461943198 ~1983
25666511693989679 ~1985
256685951337197 ~1981
25670411796928719 ~1985
2567177359404798 ~1983
Exp. Prime Factor Digits Year
2567179256717918 ~1983
2567233410757298 ~1983
256742351348477 ~1981
2567471205397698 ~1983
256753151350637 ~1981
25675993337878719 ~1985
2567753154065198 ~1982
25677534673310479
2567759205420738 ~1983
25678271232556979 ~1984
256787951357597 ~1981
2567941770382318 ~1984
2568001154080078 ~1982
2568091256809118 ~1983
2568101154086078 ~1982
256811951362397 ~1981
2568131462263598 ~1983
2568197359547598 ~1983
25682591027303619 ~1984
2568413359577838 ~1983
2568427616422498 ~1984
256843151368637 ~1981
2568469565063198 ~1984
2568481154108878 ~1982
2568523873297838 ~1984
Exp. Prime Factor Digits Year
2568557154113438 ~1982
256856351371277 ~1981
2568569616456578 ~1984
2568619256861918 ~1983
2568653359611438 ~1983
2568689770606718 ~1984
2568869359641678 ~1983
2569013154140798 ~1982
256910351382077 ~1981
25693096937134319 ~1986
256933151386637 ~1981
25693938016506179 ~1986
2569529616686978 ~1984
2569577205566178 ~1983
2569607616705698 ~1984
256969151393837 ~1981
256973951394797 ~1981
256982351396477 ~1981
2570177205614178 ~1983
2570219205617538 ~1983
257036351407277 ~1981
2570387205630978 ~1983
2570387668300638
2570401565488238 ~1984
2570671257067118 ~1983
466
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26-05-03