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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
3174251253940098 ~1983
3174487317448718 ~1983
317459963491997 ~1982
3174649172700905710 ~1988
3174707253976578 ~1983
3174737444463198 ~1984
317486363497277 ~1982
317495963499197 ~1982
3175009952502718 ~1985
317503163500637 ~1982
3175093762022338 ~1984
31750931714550239
3175313444543838 ~1984
31755531016176979 ~1985
3175561190533678 ~1983
3175561698623438
317561963512397 ~1982
317564363512877 ~1982
317587163517437 ~1982
3176057254084578 ~1983
317617163523437 ~1982
3176221190573278 ~1983
3176423762341538 ~1984
31765193112988639 ~1986
3176597444723598 ~1984
Exp. Prime Factor Digits Year
3176617762388098 ~1984
3176681254134498 ~1983
31767291207157039 ~1985
317675963535197 ~1982
3176837444757198 ~1984
3176837762440898
317684363536877 ~1982
317687963537597 ~1982
317689163537837 ~1982
3177203826072798 ~1985
3177281254182498 ~1983
317729963545997 ~1982
3177379117563023110 ~1987
3177511317751118 ~1984
3177607762625698 ~1984
3177689444876478 ~1984
3177851254228098 ~1983
3177857254228578 ~1983
31779711016950739 ~1985
3178061190683678 ~1983
317807963561597 ~1982
3178211254256898 ~1983
3178397444975598 ~1984
3178423317842318 ~1984
317873963574797 ~1982
Exp. Prime Factor Digits Year
3178753190725198 ~1983
3178837953651118 ~1985
317891963578397 ~1982
317894363578877 ~1982
317906363581277 ~1982
317933963586797 ~1982
3179437190766238 ~1983
3179587317958718 ~1984
317965163593037 ~1982
31796511017488339
31799211208369999 ~1985
3180013190800798 ~1983
318025163605037 ~1982
3180283318028318 ~1984
31803192607861599 ~1986
318056363611277 ~1982
3180613190836798 ~1983
318089963617997 ~1982
3180899254471938
3180917190855038 ~1983
31809173499008719
3180971254477698 ~1983
318104363620877 ~1982
3181051318105118 ~1984
3181163827102398 ~1985
Exp. Prime Factor Digits Year
3181181190870878 ~1983
3181181254494498
318125963625197 ~1982
3181259763502178
3181421190885278 ~1983
318167963633597 ~1982
3181681190900878 ~1983
3181777509084338 ~1984
3181781254542498 ~1983
318182363636477 ~1982
3181837954551118 ~1985
3181861190911678 ~1983
31820211018246739 ~1985
3182131318213118 ~1984
3182321190939278 ~1983
3182393190943598 ~1983
318242363648477 ~1982
3182507572851278 ~1984
3182591572866398 ~1984
3182741254619298 ~1983
318277163655437 ~1982
318302363660477 ~1982
3183043318304318 ~1984
3183151509304178 ~1984
3183151572967198
536
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26-05-03