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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
8014141480848478 ~1986
8014343160286878 ~1985
8014427641154178 ~1986
8014679160293598 ~1985
8015303160306078 ~1985
8015531160310638 ~1985
8015543160310878 ~1985
8015591641247298 ~1986
8015659801565918 ~1987
8015719801571918 ~1987
8015723160314478 ~1985
8015783160315678 ~1985
8016191160323838 ~1985
8016479641318338 ~1986
8016611160332238 ~1985
8016661480999678 ~1986
8016779160335598 ~1985
8016923160338478 ~1985
80171175130954899 ~1989
8017439641395138 ~1986
8017571654233793710 ~1991
8017643160352878 ~1985
8017739160354798 ~1985
8017819801781918 ~1987
8017951801795118 ~1987
Exp. Prime Factor Digits Year
8017993481079598 ~1986
80180471282887539 ~1987
8018183160363678 ~1985
8018189641455138 ~1986
8018291160365838 ~1985
8018453481107198 ~1986
8018963160379278 ~1985
8019001481140078 ~1986
8019023160380478 ~1985
8019041481142478 ~1986
8019611160392238 ~1985
8019773481186398 ~1986
8020151160403038 ~1985
8020339802033918 ~1987
8020499641639938 ~1986
80205773849876979 ~1988
8020643160412878 ~1985
8020673481240398 ~1986
8020703160414078 ~1985
8020921481255278 ~1986
8020927802092718 ~1987
8020933481255998 ~1986
80209331283349299
8021003160420078 ~1985
80210639144011839 ~1989
Exp. Prime Factor Digits Year
80211311443803599 ~1987
8021159160423198 ~1985
8021171160423438 ~1985
8021291160425838 ~1985
8021471641717698 ~1986
8021593481295598 ~1986
80216471283463539 ~1987
8021831160436638 ~1985
80219111443943999 ~1987
8022017481321038 ~1986
80220611283529779 ~1987
8022083160441678 ~1985
8022551160451038 ~1985
8022743160454878 ~1985
8023091160461838 ~1985
80231531018940431111 ~1992
8023259160465198 ~1985
8023523160470478 ~1985
8023811160476238 ~1985
8023957481437438 ~1986
8023979641918338 ~1986
8024077481444638 ~1986
8024321481459278 ~1986
8024399641951938 ~1986
80244072728298399 ~1988
Exp. Prime Factor Digits Year
80245373851777779 ~1988
8024591160491838 ~1985
8024591641967298
8024777481486638 ~1986
8024777641982178
8024873481492398 ~1986
80249271444486879 ~1987
80257131123599839 ~1987
8025917642073378 ~1986
8026013481560798 ~1986
80261331123658639 ~1987
8026451160529038 ~1985
80266732568535379 ~1988
80267696260879839 ~1989
80268291123756079 ~1987
8026877481612638 ~1986
8026913481614798 ~1986
80269571284313139 ~1987
80269818187520639 ~1989
80271414495198979 ~1988
8027339160546798 ~1985
8027639160552798 ~1985
8027813481668798 ~1986
8028107642248578 ~1986
8028491160569838 ~1985
920
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25-11-02