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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
3183151509304178 ~1984
3183151572967198
31831516429965039
318317963663597 ~1982
3183289954986718 ~1985
3183331509332978 ~1984
3183353191001198 ~1983
3183409700349998 ~1984
318350363670077 ~1982
3183577191014638 ~1983
318362363672477 ~1982
3183671254693698 ~1983
318386363677277 ~1982
31838833056527699 ~1986
318392363678477 ~1982
3183941191036478 ~1983
3183977119080739910 ~1987
3184277445798798 ~1984
3184501509520178 ~1984
318461963692397 ~1982
31846191337539999
3184637254770978 ~1983
318494363698877 ~1982
3185009445901278 ~1984
318524363704877 ~1982
Exp. Prime Factor Digits Year
3185279573350238 ~1984
3185417445958398 ~1984
318553163710637 ~1982
318554363710877 ~1982
3185713955713918 ~1985
3185849254867938 ~1983
3185881191152878 ~1983
31859471847849279 ~1985
3186041191162478 ~1983
3186103318610318 ~1984
318620363724077 ~1982
3186217509794738 ~1984
3186229700970398 ~1984
3186367509818738 ~1984
3186517191191038 ~1983
3186593191195598 ~1983
318661163732237 ~1982
3186979318697918 ~1984
3187033764887938 ~1984
318704363740877 ~1982
3187273764945538 ~1984
3187397191243838 ~1983
3187553191253198 ~1983
318764363752877 ~1982
31877571785143939 ~1985
Exp. Prime Factor Digits Year
3187841191270478 ~1983
318797963759597 ~1982
3187979765114978
3188083234642908910 ~1988
3188161510105778 ~1984
31882392295532099 ~1986
3188291255063298 ~1983
318845963769197 ~1982
3188587765260898 ~1984
31886871594343519 ~1985
318872363774477 ~1982
318881963776397 ~1982
3188893510222898 ~1984
3188951255116098 ~1983
3189191255135298 ~1983
3189239574063038 ~1984
3189377191362638 ~1983
3189379318937918 ~1984
318938363787677 ~1982
3189539255163138 ~1983
3189647574136478 ~1984
3189839574171038 ~1984
319009163801837 ~1982
319013963802797 ~1982
3190139255211138
Exp. Prime Factor Digits Year
3190267319026718 ~1984
319028363805677 ~1982
3190381191422878 ~1983
3190457957137118 ~1985
319075163815037 ~1982
319100363820077 ~1982
3191039255283138 ~1983
319109963821997 ~1982
3191113191466798 ~1983
3191137191468238 ~1983
31912812297722339 ~1986
319142363828477 ~1982
31915271276610819 ~1985
3191609446825278 ~1984
3191609195964792710
3191897255351778 ~1983
319199963839997 ~1982
3192017446882398 ~1984
3192037191522238 ~1983
3192271319227118 ~1984
3192389255391138 ~1983
3192677191560638 ~1983
3192713191562798 ~1983
3193097255447778 ~1983
31932375364638179 ~1987
540
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26-07-05