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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
205493941098797 ~1980
2054939164395138
2055041123302478 ~1981
205507141101437 ~1980
2055107164408578 ~1982
2055187369933678 ~1983
2055197616559118 ~1983
2055437287761198 ~1982
20554371644349619
205550341110077 ~1980
2055503534430798
2055569164445538 ~1982
2055673123340398 ~1981
2056001657920338 ~1983
205640341128077 ~1980
2056421781439998 ~1983
20564211604008399
2056753329080498 ~1983
20568911192996799 ~1984
205691941138397 ~1980
2056919164553538
2056927205692718 ~1982
2056927699355198
2056927987324978
2056961164556898 ~1982
Exp. Prime Factor Digits Year
205697941139597 ~1980
2057147534858238 ~1983
2057381658361938 ~1983
205741141148237 ~1980
205754341150877 ~1980
2057599205759918 ~1982
2057639164611138 ~1982
2057711164616898 ~1982
20577471851972319 ~1984
20577912181258479 ~1985
2057807370405278 ~1983
2057897123473838 ~1981
2057987164638978 ~1982
2058041123482478 ~1981
2058233123493998 ~1981
205823941164797 ~1980
205844341168877 ~1980
2058541123512478 ~1981
2058577494058498 ~1983
20587371111717999 ~1984
2059153123549198 ~1981
2059157123549438 ~1981
20592732800611299 ~1985
20595013089251519 ~1985
2059747205974718 ~1982
Exp. Prime Factor Digits Year
205976341195277 ~1980
2059817164785378 ~1982
205985941197197 ~1980
2059879205987918 ~1982
205994341198877 ~1980
2059979164798338 ~1982
2060263700489438 ~1983
2060327535685038 ~1983
2060407329665138 ~1983
2060453123627198 ~1981
2060473618141918 ~1983
2060489164839138 ~1982
206054341210877 ~1980
2060551989064498 ~1984
2060561659379538 ~1983
20605812472697219 ~1985
2060609494546178 ~1983
2060657123639438 ~1981
206084341216877 ~1980
2060909288527278 ~1982
206096341219277 ~1980
2061041123662478 ~1981
2061049453430798 ~1983
2061109618332718 ~1983
2061113494667138 ~1983
Exp. Prime Factor Digits Year
206123941224797 ~1980
206143141228637 ~1980
2061533123691998 ~1981
2061583206158318 ~1982
206159941231997 ~1980
2061613453554878 ~1983
2061793123707598 ~1981
206197141239437 ~1980
2062231206223118 ~1982
2062273123736398 ~1981
2062339371221038 ~1983
2062381123742878 ~1981
20624931154996099 ~1984
2062519206251918 ~1982
2062597990046578 ~1984
2062693123761598 ~1981
2062759495062178 ~1983
206288341257677 ~1980
2062979371336238 ~1983
2063021123781278 ~1981
2063213288849838 ~1982
2063521330163378 ~1983
2063563206356318 ~1982
2063573169625700710 ~1987
2063627371452878 ~1983
404
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26-05-03