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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
9004469720357538 ~1987
9004561540273678 ~1986
9004571180091438 ~1985
9004643180092878 ~1985
9004739180094798 ~1985
9005039180100798 ~1985
9005041540302478 ~1986
9005099180101998 ~1985
9005201540312078 ~1986
90053271620958879 ~1988
9005519180110398 ~1985
9005741540344478 ~1986
9005879720470338 ~1987
9006071180121438 ~1985
9006359180127198 ~1985
9006509720520738 ~1987
90066492161595779 ~1988
9006677720534178 ~1987
90069192161660579 ~1988
9006973540418398 ~1986
9007151180143038 ~1985
9007241720579298 ~1987
9007457540447438 ~1986
9007457720596578
90076574864134799 ~1989
Exp. Prime Factor Digits Year
9007703180154078 ~1985
9007811180156238 ~1985
9008141540488478 ~1986
9008771180175438 ~1985
90088092162114179 ~1988
9008873540532398 ~1986
9009023180180478 ~1985
9009191180183838 ~1985
9009419180188398 ~1985
9009551180191038 ~1985
90100075045603939 ~1989
9010433540625998 ~1986
9010633540637998 ~1986
9010751180215038 ~1985
9010853540651198 ~1986
9010979180219598 ~1985
9011279720902338 ~1987
9011771180235438 ~1985
9012097540725838 ~1986
9012131180242638 ~1985
9012299180245998 ~1985
9012383180247678 ~1985
9012611180252238 ~1985
9012911180258238 ~1985
9012911721032898
Exp. Prime Factor Digits Year
9013019180260398 ~1985
9013271180265438 ~1985
9013463180269278 ~1985
9013561540813678 ~1986
9013853540831198 ~1986
90138531261939439
9014023901402318 ~1987
90140233785889679
9014039180280798 ~1985
9014591180291838 ~1985
9014963180299278 ~1985
9015533540931998 ~1986
9015599180311998 ~1985
9016523180330478 ~1985
9016921541015278 ~1986
90169212705076319
9017051180341038 ~1985
9017087721366978 ~1987
9017117541027038 ~1986
9017221541033278 ~1986
90172213606888419
9017363180347278 ~1985
9017423180348478 ~1985
9017707901770718 ~1987
9017717541063038 ~1986
Exp. Prime Factor Digits Year
9017773541066398 ~1986
9017891180357838 ~1985
9018059180361198 ~1985
9018223901822318 ~1987
9018263180365278 ~1985
9018379901837918 ~1987
9018479180369598 ~1985
9018671180373438 ~1985
9018853541131198 ~1986
9018887721510978 ~1987
90189731443035699 ~1988
9019331180386638 ~1985
9019583180391678 ~1985
9019799180395998 ~1985
9020057721604578 ~1987
9020203902020318 ~1987
9020279180405598 ~1985
9020339180406798 ~1985
9020819721665538 ~1987
9020831180416638 ~1985
9020857541251438 ~1986
90208731262922239 ~1987
90209871623777679 ~1988
9021119180422398 ~1985
9021251180425038 ~1985
967
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25-07-08