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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
6721343134426878 ~1984
67213871209849679 ~1987
6721411672141118 ~1986
67214471075431539 ~1987
6721577403294638 ~1985
6721691134433838 ~1984
67217391209913039 ~1987
6721859537748738 ~1986
6722057403323438 ~1985
6722377403342638 ~1985
6722603134452078 ~1984
6722717537817378 ~1986
6722759134455198 ~1984
6722797403367838 ~1985
6722957403377438 ~1985
67239011075824179 ~1987
6723971134479438 ~1984
6724013424957621710 ~1990
6724307537944578 ~1986
6724379537950338 ~1986
6724463134489278 ~1984
6724631134492638 ~1984
6724859537988738 ~1986
6724889537991138 ~1986
6724933403495998 ~1985
Exp. Prime Factor Digits Year
6725021538001698 ~1986
6725063134501278 ~1984
6725249941534878 ~1986
6725531538042498 ~1986
6725911672591118 ~1986
6725951538076098 ~1986
6726107538088578 ~1986
6726179134523598 ~1984
6726623134532478 ~1984
6726793403607598 ~1985
6726821403609278 ~1985
6727079134541598 ~1984
6727207672720718 ~1986
6727379134547598 ~1984
67277832287446239 ~1987
6727793403667598 ~1985
6727943134558878 ~1984
67279436458825299
6728009538240738 ~1986
6728171134563438 ~1984
6728221403693278 ~1985
6728399134567998 ~1984
6728441403706478 ~1985
6728531134570638 ~1984
67286634979210639 ~1988
Exp. Prime Factor Digits Year
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
6732029538562338 ~1986
6732191134643838 ~1984
6732311134646238 ~1984
Exp. Prime Factor Digits Year
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
67354031616496739 ~1987
6735433404125998 ~1985
67356612020698319 ~1987
818
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25-07-08