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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
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
173417934683597 ~1980
173420334684077 ~1980
1734277104056638 ~1981
1734281104056878 ~1981
1734353104061198 ~1981
173437134687437 ~1980
1734371138749698
173443134688637 ~1980
1734463693785218 ~1983
1734497104069838 ~1981
1734497242829598
Exp. Prime Factor Digits Year
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
1735421138833698
1735423173542318 ~1981
173546334709277 ~1980
1735477104128638 ~1981
1735499416519778 ~1982
1735579173557918 ~1981
173570334714077 ~1980
173582334716477 ~1980
1735931138874498 ~1981
1735961104157678 ~1981
1735997138879778 ~1981
Exp. Prime Factor Digits Year
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
173683134736637 ~1980
1736881104212878 ~1981
17369211389536819 ~1984
1736939138955138 ~1981
1737007416881698 ~1982
1737059138964738 ~1981
1737221113961697710 ~1986
173731134746237 ~1980
1737371833938098 ~1983
1737521104251278 ~1981
17375992814910399 ~1984
Exp. Prime Factor Digits Year
1737677139014178 ~1981
17376911563921919 ~1984
1737773104266398 ~1981
173789934757997 ~1980
1738019139041538 ~1981
1738019556166098
173804334760877 ~1980
1738171173817118 ~1981
173821134764237 ~1980
1738307312895278 ~1982
173839134767837 ~1980
1738417278146738 ~1982
1738657521597118 ~1983
17386571530018179
1738661139092898 ~1981
1738691139095298 ~1981
173870334774077 ~1980
1738831173883118 ~1981
1738873104332398 ~1981
1738903730339278 ~1983
1738969521690718 ~1983
1739041104342478 ~1981
173906334781277 ~1980
1739173104350398 ~1981
1739233278277298 ~1982
348
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25-04-06