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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.
Exponent Prime Factor Digits Year
35087603701752078 ~1990
350886732105320399 ~1991
35088899701777998 ~1990
35089643701792878 ~1990
35090039701800798 ~1990
35090183701803678 ~1990
35091971701839438 ~1990
35092643701852878 ~1990
35093843701876878 ~1990
350940972105645839 ~1991
35095919701918398 ~1990
35097479701949598 ~1990
35097659701953198 ~1990
35097791701955838 ~1990
350984934913789039 ~1992
35098631701972638 ~1990
35098691701973838 ~1990
35098919701978398 ~1990
350990212105941279 ~1991
350992972105957839 ~1991
35099411701988238 ~1990
35099651701993038 ~1990
35099699701993998 ~1990
35100431702008638 ~1990
351005473510054719 ~1992
Exponent Prime Factor Digits Year
351013372808106979 ~1991
351014212808113699 ~1991
35101757926686384910 ~1995
35102351702047038 ~1990
35103143702062878 ~1990
351033712808269699 ~1991
35103539702070798 ~1990
35104691702093838 ~1990
351047572106285439 ~1991
351051172106307039 ~1991
35105771702115438 ~1990
35107463702149278 ~1990
351080233510802319 ~1992
351081915617310579 ~1992
35109323702186478 ~1990
35109443702188878 ~1990
351094612106567679 ~1991
35109911702198238 ~1990
35110511702210238 ~1990
351120172106721039 ~1991
351121012106726079 ~1991
35113223702264478 ~1990
35113271702265438 ~1990
35114341758469765710 ~1995
351146692809173539 ~1991
Exponent Prime Factor Digits Year
35116019702320398 ~1990
351165972106995839 ~1991
35117723702354478 ~1990
35118089133448738310 ~1993
35118491702369838 ~1990
35120243702404878 ~1990
351209593512095919 ~1992
35121683702433678 ~1990
35122463702449278 ~1990
35123243702464878 ~1990
35125823702516478 ~1990
35126519702530398 ~1990
35126831590130760910 ~1995
351273174917824399 ~1992
351273972107643839 ~1991
35128631702572638 ~1990
35131823702636478 ~1990
35132459702649198 ~1990
35132651702653038 ~1990
35133671702673438 ~1990
351340312810722499 ~1991
35137499702749998 ~1990
35137871702757438 ~1990
351388215622211379 ~1992
35139491702789838 ~1990
Exponent Prime Factor Digits Year
35139719702794398 ~1990
351400132108400799 ~1991
35140439702808798 ~1990
35144303702886078 ~1990
351445132108670799 ~1991
35144531112462499310 ~1993
35144663702893278 ~1990
35145359702907198 ~1990
35146571702931438 ~1990
35147363702947278 ~1990
35147531702950638 ~1990
35150519703010398 ~1990
35150603703012078 ~1990
35150963703019278 ~1990
35151071703021438 ~1990
351514012812112099 ~1991
35151419703028398 ~1990
35151899703037998 ~1990
35153003703060078 ~1990
35154659703093198 ~1990
35155223703104478 ~1990
35155943703118878 ~1990
35157119703142398 ~1990
35157203703144078 ~1990
35157383703147678 ~1990
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