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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
8503513510210798 ~1986
8503751170075038 ~1985
8503871680309698 ~1987
8503919170078398 ~1985
85039911530718399 ~1987
8504129680330338 ~1987
8504203850420318 ~1987
85043571190609999 ~1987
8504591170091838 ~1985
8505037510302238 ~1986
8505053510303198 ~1986
8505313510318798 ~1986
8505467680437378 ~1987
8505719170114398 ~1985
8506031170120638 ~1985
8506081510364878 ~1986
85064274763599139 ~1989
8506643170132878 ~1985
8506703170134078 ~1985
85069074083315379 ~1988
8507099170141998 ~1985
8507221510433278 ~1986
8507281510436878 ~1986
8507357510441438 ~1986
8507363170147278 ~1985
Exp. Prime Factor Digits Year
85075916125465539 ~1989
8507651170153038 ~1985
8507711680616898 ~1987
85077911361246579 ~1987
8508011170160238 ~1985
8508061510483678 ~1986
8508191170163838 ~1985
8508373510502398 ~1986
8508757510525438 ~1986
8509079170181598 ~1985
8509121680729698 ~1987
8509147850914718 ~1987
8509211170184238 ~1985
8509247680739778 ~1987
8509331170186638 ~1985
85094331191320639 ~1987
8509601510576078 ~1986
8509619170192398 ~1985
85096612552898319 ~1988
8509799170195998 ~1985
8509861510591678 ~1986
8510039170200798 ~1985
8510441680835298 ~1987
8511001510660078 ~1986
8511131170222638 ~1985
Exp. Prime Factor Digits Year
8511367136181872110 ~1990
8511491170229838 ~1985
8511497680919778 ~1987
8511617510697038 ~1986
8511619851161918 ~1987
8511731170234638 ~1985
8511803170236078 ~1985
8511821510709278 ~1986
8511913510714798 ~1986
85121111361937779 ~1987
85123511361976179 ~1987
8512391170247838 ~1985
85123911532230399
8512453510747198 ~1986
8512643170252878 ~1985
8512799170255998 ~1985
85128834767214499 ~1989
8513033510781998 ~1986
8513171170263438 ~1985
85132071532377279 ~1987
8513341510800478 ~1986
8513497510809838 ~1986
8514173510850398 ~1986
8514179170283598 ~1985
85142774086852979 ~1988
Exp. Prime Factor Digits Year
8514419681153538 ~1987
8514509681160738 ~1987
8514743170294878 ~1985
85149491873288799 ~1988
8515141510908478 ~1986
85153072213979839 ~1988
8515379170307598 ~1985
8515853510951198 ~1986
8515931170318638 ~1985
8516159170323198 ~1985
8516197510971838 ~1986
8516489681319138 ~1987
8516639170332798 ~1985
8516797511007838 ~1986
85169272214401039 ~1988
8517023170340478 ~1985
8517253511035198 ~1986
8517401511044078 ~1986
8517419170348398 ~1985
8517563170351278 ~1985
85176612555298319 ~1988
8517779170355598 ~1985
8517863170357278 ~1985
8518507851850718 ~1987
8518883170377678 ~1985
928
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25-05-04