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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
6500771130015438 ~1984
65008076240774739 ~1988
6500981520078498 ~1986
65010732600429219 ~1987
6501217390073038 ~1985
6501277390076638 ~1985
6501637390098238 ~1985
65017911170322399 ~1987
6501827145640924910 ~1989
65019912600796419 ~1987
6502271130045438 ~1984
6502439130048798 ~1984
6502487520198978 ~1986
6502501390150078 ~1985
6502547520203778 ~1986
6502631130052638 ~1984
6502673390160398 ~1985
6502679130053598 ~1984
6502697390161838 ~1985
65027591170496639 ~1987
6502799130055998 ~1984
6502877520230178 ~1986
6503011650301118 ~1986
6503099130061998 ~1984
6503347650334718 ~1986
Exp. Prime Factor Digits Year
6503633390217998 ~1985
6503711520296898 ~1986
6503713390222798 ~1985
6504041390242478 ~1985
6504059130081198 ~1984
6504083130081678 ~1984
6504131130082638 ~1984
6504191520335298 ~1986
65045712731919839 ~1987
6504611130092238 ~1984
6504853390291198 ~1985
65049074163140499 ~1988
6504977390298638 ~1985
6504983130099678 ~1984
65053071170955279 ~1987
6505621390337278 ~1985
6505643130112878 ~1984
6505649124908460910 ~1989
6505703130114078 ~1984
6505783650578318 ~1986
6505931130118638 ~1984
6506039130120798 ~1984
6506183130123678 ~1984
6506243130124878 ~1984
6506399130127998 ~1984
Exp. Prime Factor Digits Year
65063997937806799
65064292472443039 ~1987
65070231561685539 ~1987
6507239130144798 ~1984
6507269911017678 ~1986
65073071041169139 ~1986
6507323130146478 ~1984
6507337390440238 ~1985
6507569520605538 ~1986
65077074295086639 ~1988
6507881520630498 ~1986
65080031041280499 ~1986
6508163130163278 ~1984
6508199520655938 ~1986
6508253390495198 ~1985
6508259130165198 ~1984
6508259520660738
6508283130165678 ~1984
65083093123988339 ~1988
6508343130166878 ~1984
6508493390509598 ~1985
6508661520692898 ~1986
6508751130175038 ~1984
6508769911227678 ~1986
6508979130179598 ~1984
Exp. Prime Factor Digits Year
6509537390572238 ~1985
6509579130191598 ~1984
65098191562356579 ~1987
6510191130203838 ~1984
65101931041630899 ~1986
65104512734389439 ~1987
6510613390636798 ~1985
6511031130220638 ~1984
6511031520882498
6511541520923298 ~1986
6511543651154318 ~1986
6511559130231198 ~1984
65116692604667619 ~1987
6511937911671198 ~1986
6512081390724878 ~1985
65120832214108239 ~1987
6512279130245598 ~1984
6512323651232318 ~1986
65123471172222479 ~1987
6512879130257598 ~1984
6512903130258078 ~1984
6513179130263598 ~1984
6513191130263838 ~1984
6513653390819198 ~1985
6513869521109538 ~1986
818
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25-12-14