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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
1729957276793138 ~1982
1730167173016718 ~1981
1730237657490078 ~1983
1730473103828398 ~1981
1730591138447298 ~1981
1730723969204898 ~1983
1730791311542398 ~1982
173083134616637 ~1980
1730999311579838 ~1982
173131134626237 ~1980
1731479138518338 ~1981
17315711004311199 ~1983
173165934633197 ~1980
1732039415689378 ~1982
17320512390230399 ~1984
1732057277129138 ~1982
1732139138571138 ~1981
1732193242507038 ~1982
1732231173223118 ~1981
1732273103936398 ~1981
17322773568490639 ~1985
1732321103939278 ~1981
17323691767016399 ~1984
1732447173244718 ~1981
1732469242545678 ~1982
Exp. Prime Factor Digits Year
1732499311849838 ~1982
1732631138610498 ~1981
1732697658424878 ~1983
173279934655997 ~1980
1732961103977678 ~1981
1732961519888318
1733041103982478 ~1981
17330772599615519 ~1984
173315934663197 ~1980
173318334663677 ~1980
173327934665597 ~1980
17332793882544979
1733327970663138 ~1983
173351934670397 ~1980
17335491074800399 ~1983
173363934672797 ~1980
1733903450814798 ~1982
17339031144375999
1733911173391118 ~1981
1733911728242638
1733981520194318 ~1983
173399934679997 ~1980
1734071554902738 ~1983
1734133277461298 ~1982
1734167971133538 ~1983
Exp. Prime Factor Digits Year
173417934683597 ~1980
173420334684077 ~1980
1734277104056638 ~1981
1734281104056878 ~1981
1734353104061198 ~1981
173437134687437 ~1980
1734371138749698
173443134688637 ~1980
1734463693785218 ~1983
1734497104069838 ~1981
1734497242829598
1734547312218478 ~1982
173461134692237 ~1980
1734647138771778 ~1981
17347378569600799 ~1986
1734827451055038 ~1982
17348411526660099 ~1984
17348691075618799 ~1983
1734899138791938 ~1981
1734899728657598
173504334700877 ~1980
1735103416424738 ~1982
1735211312337998 ~1982
1735277242938798 ~1982
1735421104125278 ~1981
Exp. Prime Factor Digits Year
1735421138833698
1735423173542318 ~1981
173546334709277 ~1980
1735477104128638 ~1981
1735499416519778 ~1982
1735579173557918 ~1981
173570334714077 ~1980
173582334716477 ~1980
1735931138874498 ~1981
1735961104157678 ~1981
1735997138879778 ~1981
1736029937455678 ~1983
1736099138887938 ~1981
1736153416676738 ~1982
17361733020941039 ~1984
1736177520853118 ~1983
1736191312514398 ~1982
1736197277791538 ~1982
1736219312519438 ~1982
1736233104173998 ~1981
1736393555645778 ~1983
173651934730397 ~1980
1736563173656318 ~1981
17366391562975119 ~1984
1736789243150478 ~1982
348
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25-04-13