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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
1734463693785218 ~1983
1734497104069838 ~1981
1734497242829598
1734547312218478 ~1982
1734559728514798 ~1983
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
Exp. Prime Factor Digits Year
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
173683134736637 ~1980
1736881104212878 ~1981
17369211389536819 ~1984
1736939138955138 ~1981
1737007416881698 ~1982
1737059138964738 ~1981
1737221113961697710 ~1986
Exp. Prime Factor Digits Year
173731134746237 ~1980
1737371833938098 ~1983
1737521104251278 ~1981
17375992814910399 ~1984
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
Exp. Prime Factor Digits Year
1739041104342478 ~1981
173906334781277 ~1980
1739173104350398 ~1981
1739233278277298 ~1982
17393471008821279 ~1983
1739359313084638 ~1982
1739443173944318 ~1981
1739533104371998 ~1981
173960334792077 ~1980
17396093166088399 ~1985
1739653417516738 ~1982
1739869382771198 ~1982
173989134797837 ~1980
1739911173991118 ~1981
1739957139196578 ~1981
17400411774841839 ~1984
1740241104414478 ~1981
1740257139220578 ~1981
1740259174025918 ~1981
1740293243641038 ~1982
1740367174036718 ~1981
1740379417690978 ~1982
1740379591728878
174050334810077 ~1980
17406911845132479 ~1984
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25-09-07