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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
2574853411976498 ~1983
2574889566475598 ~1984
25749471441970339 ~1985
2575093618022338 ~1984
2575187463533678 ~1983
2575193154511598 ~1982
25752311493633999 ~1985
257528351505677 ~1981
2575439618105378 ~1984
2575673154540398 ~1982
257567951513597 ~1981
257579951515997 ~1981
2575933154555998 ~1982
2576113566744878 ~1984
257615951523197 ~1981
2576159206092738
2576261154575678 ~1982
2576293154577598 ~1982
2576407463753278 ~1983
2576423618341538 ~1984
2576477206118178 ~1983
2576557154593438 ~1982
25766416956930719 ~1986
257666351533277 ~1981
257677151535437 ~1981
Exp. Prime Factor Digits Year
257683151536637 ~1981
2577041154622478 ~1982
257708351541677 ~1981
2577083670041598
2577167618520098 ~1984
2577203618528738 ~1984
2577347670110238 ~1984
2577413154644798 ~1982
2577427412388338 ~1983
2577599206207938 ~1983
2577667257766718 ~1983
25776672268346979
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
Exp. Prime Factor Digits Year
2578991464218398
257905151581037 ~1981
2579323257932318 ~1983
2579399464291838 ~1983
2579419464295438 ~1983
2579453361123438 ~1983
2579477361126798 ~1983
2579513361131838 ~1983
2579617154777038 ~1982
25796231650958739 ~1985
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
Exp. Prime Factor Digits Year
258107951621597 ~1981
258122351624477 ~1981
2581441154886478 ~1982
2581541154892478 ~1982
258158351631677 ~1981
2581597154895838 ~1982
2581721154903278 ~1982
2581913361467838 ~1983
2581933755473595910 ~1989
2581961206556898 ~1983
25820531652513939 ~1985
25820891807462319 ~1985
25820899915221779
2582383413181298 ~1983
258239951647997 ~1981
2582501774750318 ~1984
2582581413212978 ~1983
2582677619842498 ~1984
2582707619849698 ~1984
258277151655437 ~1981
25829031291451519 ~1984
2582953774885918 ~1984
258299951659997 ~1981
258301151660237 ~1981
2583353361669438 ~1983
451
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25-05-04