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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
289010357802077 ~1981
289025957805197 ~1981
2890319231225538 ~1983
289037957807597 ~1981
289046357809277 ~1981
28904871618672739 ~1985
289061957812397 ~1981
28909573411329279 ~1986
289105157821037 ~1981
2891051751673278
2891137867341118 ~1984
2891201173472078 ~1983
289130357826077 ~1981
2891389636105598 ~1984
2891489693957378 ~1984
28915094626414419 ~1986
2891599693983778 ~1984
2891657693997698 ~1984
2892077173524638 ~1983
2892107231368578 ~1983
2892191231375298 ~1983
289225157845037 ~1981
289229957845997 ~1981
2892341231387298 ~1983
28923411730198386311
Exp. Prime Factor Digits Year
289235957847197 ~1981
2892367462778738 ~1984
28924192082541699 ~1985
28925691099176239 ~1985
2893097231447778 ~1983
28932071388739379 ~1985
2893237173594238 ~1983
289328357865677 ~1981
2893357173601438 ~1983
2893391231471298 ~1983
2893393173603598 ~1983
2893777463004338 ~1984
2893843289384318 ~1983
2894053636691678 ~1984
289412357882477 ~1981
289421957884397 ~1981
2894443694666338 ~1984
28944492720782079 ~1986
289448357889677 ~1981
2894587289458718 ~1983
2894657173679438 ~1983
28948312836934399 ~1986
28948611621122179 ~1985
28950734342609519 ~1986
2895187521133678 ~1984
Exp. Prime Factor Digits Year
2895241173714478 ~1983
2895377405352798 ~1984
2895463463274098 ~1984
289547957909597 ~1981
2895637173738238 ~1983
2895821231665698 ~1983
28958212779988179
2895833694999938 ~1984
289603157920637 ~1981
2896099289609918 ~1983
289613957922797 ~1981
2896207463393138 ~1984
2896277173776638 ~1983
2896297194051899110 ~1988
289631957926397 ~1981
2896373173782398 ~1983
289640357928077 ~1981
2896703695208738 ~1984
28967034692658879
289673957934797 ~1981
289676357935277 ~1981
2896877231750178 ~1983
2896963984967438 ~1984
289700357940077 ~1981
2897023695285538 ~1984
Exp. Prime Factor Digits Year
289717157943437 ~1981
2897227289722718 ~1983
28972699908659999 ~1987
2897299289729918 ~1983
289742357948477 ~1981
28974492028214319 ~1985
289757957951597 ~1981
2897621173857278 ~1983
2897627231810178 ~1983
289771157954237 ~1981
2897933173875998 ~1983
2898047231843778 ~1983
2898101173886078 ~1983
2898197231855778 ~1983
2898367521706078 ~1984
289850357970077 ~1981
2898557695653698 ~1984
2898733173923998 ~1983
2898733869619918
289874357974877 ~1981
289880357976077 ~1981
2898803753688798
2898901173934078 ~1983
289903157980637 ~1981
2899031231922498
502
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26-03-08