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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
6728441403706478 ~1985
6728531134570638 ~1984
67286634979210639 ~1988
6728759134575198 ~1984
6728833403729998 ~1985
6728873403732398 ~1985
6729017538321378 ~1986
6729419134588398 ~1984
6729677538374178 ~1986
6729683134593678 ~1984
6729817403789038 ~1985
6730043134600878 ~1984
6730319134606398 ~1984
6730331134606638 ~1984
6730357403821438 ~1985
6730571134611438 ~1984
6730771673077118 ~1986
6730907538472578 ~1986
6730991134619838 ~1984
6731017403861038 ~1985
6731117538489378 ~1986
6731171134623438 ~1984
6731591134631838 ~1984
6731657538532578 ~1986
6731941403916478 ~1985
Exp. Prime Factor Digits Year
6732029538562338 ~1986
6732191134643838 ~1984
6732311134646238 ~1984
6732497403949838 ~1985
6732851134657038 ~1984
6733151134663038 ~1984
6733211538656898 ~1986
6733511134670238 ~1984
67335791212044239 ~1987
6733613404016798 ~1985
6733633404017998 ~1985
6733817404029038 ~1985
6733823134676478 ~1984
6734141538731298 ~1986
67342133771159299 ~1988
6734257404055438 ~1985
6734297942801598 ~1986
6734459134689198 ~1984
6734633404077998 ~1985
67349771616394499 ~1987
6735151673515118 ~1986
6735173404110398 ~1985
6735217404113038 ~1985
6735271673527118 ~1986
6735359134707198 ~1984
Exp. Prime Factor Digits Year
67354031616496739 ~1987
6735427673542718 ~1986
6735433404125998 ~1985
67356612020698319 ~1987
6735863134717278 ~1984
6735977404158638 ~1985
6736117404167038 ~1985
6736319134726398 ~1984
6736333404179998 ~1985
6736451134729038 ~1984
6736727538938178 ~1986
6736739134734798 ~1984
6736841404210478 ~1985
6736859538948738 ~1986
67368591212634639
6736897404213838 ~1985
6737123134742478 ~1984
6737231134744638 ~1984
6737273404236398 ~1985
67372992290681679 ~1987
6737303134746078 ~1984
6737411134748238 ~1984
67374431077990899 ~1987
67374736333224639 ~1988
6737639134752798 ~1984
Exp. Prime Factor Digits Year
6737651539012098 ~1986
67377913907918799 ~1988
6737963134759278 ~1984
6738059134761198 ~1984
67380596603297839
6738373404302398 ~1985
6738631673863118 ~1986
6738899134777998 ~1984
6738971539117698 ~1986
6739151134783038 ~1984
6739451134789038 ~1984
67395731078331699 ~1987
6739751134795038 ~1984
67397713235090099 ~1988
6740141404408478 ~1985
6740171134803438 ~1984
6740189539215138 ~1986
6740197404411838 ~1985
6740297404417838 ~1985
67403871213269679 ~1987
6740399134807998 ~1984
6740443674044318 ~1986
6740473404428398 ~1985
6740819134816398 ~1984
6740819539265538
825
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25-09-07