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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
814503023162900604710 ~2001
814520797488712478310 ~2002
814520963162904192710 ~2001
814521971162904394310 ~2001
814525919162905183910 ~2001
814539359162907871910 ~2001
8145488931140368450311 ~2003
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
Exponent Prime Factor Digits Year
814805483162961096710 ~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
815101559163020311910 ~2001
815114893489068935910 ~2002
815127119163025423910 ~2001
815187227652149781710 ~2002
815211983163042396710 ~2001
815252723163050544710 ~2001
815304013489182407910 ~2002
815314261489188556710 ~2002
815315771163063154310 ~2001
815337311163067462310 ~2001
Exponent Prime Factor Digits Year
8153644573913749393711 ~2004
815370911652296728910 ~2002
815411123163082224710 ~2001
815413799163082759910 ~2001
8154437531304710004911 ~2003
815463059163092611910 ~2001
815486603163097320710 ~2001
815517611163103522310 ~2001
815528177652422541710 ~2002
815533739163106747910 ~2001
815539643163107928710 ~2001
8155458895871930400911 ~2004
815593763163118752710 ~2001
815598083163119616710 ~2001
815617871163123574310 ~2001
8156188491957485237711 ~2003
815622683163124536710 ~2001
815629583163125916710 ~2001
8156400791468152142311 ~2003
815677853489406711910 ~2002
815691341489414804710 ~2002
815700323163140064710 ~2001
815725193489435115910 ~2002
815728213489436927910 ~2002
815746979163149395910 ~2001
Exponent Prime Factor Digits Year
815752153489451291910 ~2002
815759291163151858310 ~2001
815764199163152839910 ~2001
8157861135221031123311 ~2004
8157864672773673987911 ~2004
815815621489489372710 ~2002
815819423163163884710 ~2001
815865839163173167910 ~2001
815880179163176035910 ~2001
815913803163182760710 ~2001
815935061652748048910 ~2002
815946251163189250310 ~2001
815985671163197134310 ~2001
816048251163209650310 ~2001
816056243163211248710 ~2001
816136523163227304710 ~2001
816167879163233575910 ~2001
8161754172448526251111 ~2003
816208201489724920710 ~2002
816242363163248472710 ~2001
816291557489774934310 ~2002
816293053489775831910 ~2002
816314951163262990310 ~2001
816335099163267019910 ~2001
8163772972449131891111 ~2003
3443
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25-06-08