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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
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
80245373851777779 ~1988
8024591160491838 ~1985
8024777481486638 ~1986
8024777641982178
8024873481492398 ~1986
80249271444486879 ~1987
80257131123599839 ~1987
Exp. Prime Factor Digits Year
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
8028491160569838 ~1985
8028577481714638 ~1986
80287071445167279 ~1987
8028719160574398 ~1985
8028791160575838 ~1985
80288091926914179 ~1988
80288274496143139 ~1988
8028899160577998 ~1985
8029211160584238 ~1985
8029631642370498 ~1986
Exp. Prime Factor Digits Year
8029739160594798 ~1985
80298111445365999 ~1987
8029823160596478 ~1985
80298771124182799 ~1987
80302271284836339 ~1987
8030623803062318 ~1987
8030761481845678 ~1986
8031097481865838 ~1986
8031431160628638 ~1985
8031437642514978 ~1986
8031581481894878 ~1986
8031581642526498
8031587642526978 ~1986
8031641481898478 ~1986
80317731124448239 ~1987
8031787803178718 ~1987
8031833481909998 ~1986
8032001481920078 ~1986
80326911445884399 ~1987
8032967642637378 ~1986
8033021481981278 ~1986
8033243160664878 ~1985
8033471160669438 ~1985
80335915302170079 ~1989
8033951160679038 ~1985
Exp. Prime Factor Digits Year
80341138194795279 ~1989
8034263160685278 ~1985
8034373482062398 ~1986
8034671160693438 ~1985
8034781482086878 ~1986
8034821642785698 ~1986
8034839160696798 ~1985
80351293856861939 ~1988
8035337642826978 ~1986
8035733482143998 ~1986
8035799160715998 ~1985
8036279160725598 ~1985
8036531160730638 ~1985
8036711160734238 ~1985
8036939160738798 ~1985
80371871446693679 ~1987
8037269642981538 ~1986
80375691125259679 ~1987
80383432938818200911 ~1993
8038451160769038 ~1985
8038571160771438 ~1985
8038631160772638 ~1985
8038697643095778 ~1986
8039501643160098 ~1986
8039939160798798 ~1985
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