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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
2544637152678238 ~1982
2544643610714338 ~1984
2544767458058078 ~1983
25447671425069539
2544959203596738 ~1983
25450011832400739 ~1985
2545021152701278 ~1982
2545079203606338 ~1983
2545141152708478 ~1982
25451411221667699
2545211203616898 ~1983
254527150905437 ~1981
2545271203621698
2545307203624578 ~1983
254545150909037 ~1981
2545493356369038 ~1983
2545651458217198 ~1983
2545657152739438 ~1982
254570350914077 ~1981
2545757152745438 ~1982
2545853152751198 ~1982
254588350917677 ~1981
2545927458266878 ~1983
25461496670910399 ~1986
2546237203698978 ~1983
Exp. Prime Factor Digits Year
25462394124907199 ~1986
2546293560184478 ~1984
2546317152779038 ~1982
25463171782421919
254636350927277 ~1981
2546563254656318 ~1983
2546581152794878 ~1982
254675950935197 ~1981
2546837152810238 ~1982
2546899611255778 ~1984
254713150942637 ~1981
2547247458504478 ~1983
2547253152835198 ~1982
254732350946477 ~1981
2547613611427138 ~1984
2547647203811778 ~1983
254765950953197 ~1981
25477911070072239 ~1984
2547817152869038 ~1982
2547847407655538 ~1983
25479291375881679 ~1985
254795950959197 ~1981
254810350962077 ~1981
2548127458662878 ~1983
254816350963277 ~1981
Exp. Prime Factor Digits Year
2548279611586978 ~1984
254837950967597 ~1981
2548379458708238
254839150967837 ~1981
2548477611634498 ~1984
254849950969997 ~1981
25485011172310479 ~1984
2548537152912238 ~1982
2548547662622238 ~1984
254857150971437 ~1981
2548697152921838 ~1982
2548957152937438 ~1982
254897950979597 ~1981
254900350980077 ~1981
2549203254920318 ~1983
254927950985597 ~1981
2549357356909998 ~1983
2549381152962878 ~1982
2549429203954338 ~1983
254953150990637 ~1981
254975950995197 ~1981
2549773152986398 ~1982
2549863611967138 ~1984
2549867662965438 ~1984
2549893560976478 ~1984
Exp. Prime Factor Digits Year
254990350998077 ~1981
2550001153000078 ~1982
2550013408002098 ~1983
255008351001677 ~1981
2550179459032238 ~1983
2550343255034318 ~1983
255047951009597 ~1981
255056351011277 ~1981
2550577612138498 ~1984
2550619255061918 ~1983
2550727255072718 ~1983
2550859612206178 ~1984
2550871255087118 ~1983
2550971663252478 ~1984
2551097357153598 ~1983
2551273153076398 ~1982
2551543408246898 ~1983
25516511479957599 ~1985
25517333419322239 ~1986
2551867459336078 ~1983
255194351038877 ~1981
2551987408317938 ~1983
2552021204161698 ~1983
2552059459370638 ~1983
2552113153126798 ~1982
462
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26-03-15