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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
813780371162756074310 ~2001
813824413488294647910 ~2002
813831971162766394310 ~2001
813847679162769535910 ~2001
813866407813866407110 ~2002
8139054831953373159311 ~2003
813927713488356627910 ~2002
813941279162788255910 ~2001
813968663162793732710 ~2001
813974891162794978310 ~2001
813991751162798350310 ~2001
8139942311302390769711 ~2003
814017053488410231910 ~2002
814024499162804899910 ~2001
814027691162805538310 ~2001
814064171162812834310 ~2001
814097261651277808910 ~2002
814107191162821438310 ~2001
814127579162825515910 ~2001
814148183162829636710 ~2001
814155539162831107910 ~2001
814157651162831530310 ~2001
814159799162831959910 ~2001
8141965871302714539311 ~2003
814221517488532910310 ~2002
Exponent Prime Factor Digits Year
8142259632768368274311 ~2004
814230533488538319910 ~2002
814247279162849455910 ~2001
814250159162850031910 ~2001
814261379162852275910 ~2001
814263011162852602310 ~2001
814266143162853228710 ~2001
814286183162857236710 ~2001
814298921488579352710 ~2002
814320239162864047910 ~2001
814330813488598487910 ~2002
814332721488599632710 ~2002
814338179162867635910 ~2001
814365983162873196710 ~2001
814374553488624731910 ~2002
814402103162880420710 ~2001
814403519162880703910 ~2001
814414501488648700710 ~2002
814450313488670187910 ~2002
814475699162895139910 ~2001
814480643162896128710 ~2001
814481881488689128710 ~2002
814485127814485127110 ~2002
814503023162900604710 ~2001
814520797488712478310 ~2002
Exponent Prime Factor Digits Year
814520963162904192710 ~2001
814521971162904394310 ~2001
814525919162905183910 ~2001
814539359162907871910 ~2001
8145488931140368450311 ~2003
814573583162914716710 ~2001
814585091162917018310 ~2001
814591859162918371910 ~2001
814607471162921494310 ~2001
814613483162922696710 ~2001
814642019162928403910 ~2001
814645439162929087910 ~2001
814660523162932104710 ~2001
814683179162936635910 ~2001
814706051651764840910 ~2002
814709537488825722310 ~2002
814711379162942275910 ~2001
814718819162943763910 ~2001
814749179162949835910 ~2001
814754939162950987910 ~2001
814761373488856823910 ~2002
814763639162952727910 ~2001
814786601488871960710 ~2002
814802039651841631310 ~2002
814805483162961096710 ~2001
Exponent Prime Factor Digits Year
814821911162964382310 ~2001
814832591162966518310 ~2001
814854119162970823910 ~2001
814876091162975218310 ~2001
814907783162981556710 ~2001
814912991162982598310 ~2001
814963043162992608710 ~2001
814973977488984386310 ~2002
814996631162999326310 ~2001
815014853489008911910 ~2002
815038859163007771910 ~2001
815051191815051191110 ~2002
815056523163011304710 ~2001
8150698971956167752911 ~2003
815075753489045451910 ~2002
815087111163017422310 ~2001
815101559163020311910 ~2001
815114893489068935910 ~2002
815127119163025423910 ~2001
815187227652149781710 ~2002
8151902412445570723111 ~2003
815211983163042396710 ~2001
815214443163042888710 ~2001
815252723163050544710 ~2001
815304013489182407910 ~2002
3668
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25-12-14