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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
25776672268346979
2577833773349918 ~1984
2578117154687038 ~1982
2578253773475918 ~1984
257839151567837 ~1981
2578469206277538 ~1983
2578529206282338 ~1983
2578621154717278 ~1982
257864351572877 ~1981
2578733825194578 ~1984
257879951575997 ~1981
2578801567336238 ~1984
2578837154730238 ~1982
2578973154738398 ~1982
257899151579837 ~1981
2578991464218398
257905151581037 ~1981
2579323257932318 ~1983
2579399464291838 ~1983
2579419464295438 ~1983
2579453361123438 ~1983
2579477361126798 ~1983
2579513361131838 ~1983
2579617154777038 ~1982
25796231650958739 ~1985
Exp. Prime Factor Digits Year
25799237068989039 ~1986
257993951598797 ~1981
257996351599277 ~1981
2580313567668878 ~1984
2580337154820238 ~1982
258041951608397 ~1981
258044351608877 ~1981
2580653361291438 ~1983
25806591290329519 ~1984
2580703619368738 ~1984
25807913922802339 ~1986
258083951616797 ~1981
2580859464554638 ~1983
25808871445296739 ~1985
258103151620637 ~1981
258107951621597 ~1981
258122351624477 ~1981
2581441154886478 ~1982
2581541154892478 ~1982
258158351631677 ~1981
2581597154895838 ~1982
2581721154903278 ~1982
2581913361467838 ~1983
2581933755473595910 ~1989
2581961206556898 ~1983
Exp. Prime Factor Digits Year
25820531652513939 ~1985
25820891807462319 ~1985
25820899915221779
2582383413181298 ~1983
258239951647997 ~1981
2582501774750318 ~1984
2582581413212978 ~1983
2582677619842498 ~1984
2582707619849698 ~1984
2582737190089443310 ~1987
258277151655437 ~1981
25829031291451519 ~1985
2582953774885918 ~1984
258299951659997 ~1981
258301151660237 ~1981
2583353361669438 ~1983
2583391258339118 ~1983
2583437155006238 ~1982
2583467206677378 ~1983
258349151669837 ~1981
25835571240107379 ~1984
258361151672237 ~1981
2583629361708078 ~1983
258367151673437 ~1981
2583767465078078 ~1983
Exp. Prime Factor Digits Year
2583769620104578 ~1984
2583857155031438 ~1982
2583907620137698 ~1984
2584031671848078 ~1984
2584079206726338 ~1983
2584081568497838 ~1984
2584159620198178 ~1984
2584301775290318 ~1984
2584367206749378 ~1983
258451151690237 ~1981
2584807258480718 ~1983
2584819258481918 ~1983
2584877361882798 ~1983
2584913155094798 ~1982
2585057155103438 ~1982
258512351702477 ~1981
258527951705597 ~1981
2585293775587918 ~1984
25853511085847439 ~1984
2585399206831938 ~1983
2585413775623918 ~1984
2585477361966798 ~1983
2585509620522178 ~1984
2585641155138478 ~1982
2585797155147838 ~1982
466
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26-03-15