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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 Dig. Year
56745140333404708419911 ~2008
56745280311134905606311 ~2007
56745337191134906743911 ~2007
56747522631134950452711 ~2007
56749644111134992882311 ~2007
56750657511135013150311 ~2007
56752919391135058387911 ~2007
567537247731782085871312 ~2011
56754608595675460859111 ~2009
56756901231135138024711 ~2007
56757303231135146064711 ~2007
567580147730649327975912 ~2011
567604847910216887262312 ~2010
56765118533405907111911 ~2008
56766065694541285255311 ~2009
56766904494541352359311 ~2009
567673294913624159077712 ~2010
56767484031135349680711 ~2007
56767770831135355416711 ~2007
56768346231135366924711 ~2007
56769332991135386659911 ~2007
567724286314760831443912 ~2010
56773112391135462247911 ~2007
56774460831135489216711 ~2007
56775112431135502248711 ~2007
Exponent Prime Factor Dig. Year
567762889713626309352912 ~2010
56777071733406624303911 ~2008
56780048031135600960711 ~2007
56785994533407159671911 ~2008
567860732313628657575312 ~2010
56786373231135727464711 ~2007
567865319313628767663312 ~2010
56789968013407398080711 ~2008
56791105431135822108711 ~2007
567932387913630377309712 ~2010
56795009511135900190311 ~2007
56795664231135913284711 ~2007
56796513714543721096911 ~2009
56796941031135938820711 ~2007
56798532973407911978311 ~2008
56800115391136002307911 ~2007
56803801431136076028711 ~2007
56803841031136076820711 ~2007
56804485311136089706311 ~2007
56805676431136113528711 ~2007
56807406773408444406311 ~2008
56811121911136222438311 ~2007
56813063991136261279911 ~2007
56815946511136318930311 ~2007
56818500711136370014311 ~2007
Exponent Prime Factor Dig. Year
56819267511136385350311 ~2007
56819799733409187983911 ~2008
56822977791136459555911 ~2007
56827707591136554151911 ~2007
56827804431136556088711 ~2007
56828500279092560043311 ~2009
56833193031136663860711 ~2007
56834198933410051935911 ~2008
568392004944334576382312 ~2011
56840130591136802611911 ~2007
56840417994547233439311 ~2009
56844219231136884384711 ~2007
56845035231136900704711 ~2007
568469810930697369788712 ~2011
56848780579095804891311 ~2009
56853077031137061540711 ~2007
56858306511137166130311 ~2007
56858322831137166456711 ~2007
56858874111137177482311 ~2007
56859401631137188032711 ~2007
56864787111137295742311 ~2007
56866487391137329747911 ~2007
56866830111137336602311 ~2007
568672281713648134760912 ~2010
56867998791137359975911 ~2007
Exponent Prime Factor Dig. Year
56870561391137411227911 ~2007
56873990991137479819911 ~2007
56874085911137481718311 ~2007
56875070419100011265711 ~2009
568767728369389662852712 ~2012
56878140294550251223311 ~2009
56879560311137591206311 ~2007
568820026710238760480712 ~2010
568825699913651816797712 ~2010
56885962933413157775911 ~2008
56888735274551098821711 ~2009
56890707591137814151911 ~2007
56892821991137856439911 ~2007
56899479613413968776711 ~2008
56900550831138011016711 ~2007
56900560191138011203911 ~2007
56900865111138017302311 ~2007
56901774133414106447911 ~2008
56906735631138134712711 ~2007
56907984111138159682311 ~2007
56909355111138187102311 ~2007
56911614675691161467111 ~2009
56912326911138246538311 ~2007
56914271391138285427911 ~2007
56919663173415179790311 ~2008
4386
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25-11-02