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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
8761978871401916619311 ~2003
876280763175256152710 ~2001
876316061701052848910 ~2002
87636932312794992115912 ~2005
876382103175276420710 ~2001
876391081525834648710 ~2002
8764226293505690516111 ~2004
8764347071402295531311 ~2003
876456353525873811910 ~2002
876480023175296004710 ~2001
8765090171402414427311 ~2003
876528269701222615310 ~2002
876574103175314820710 ~2001
876615143175323028710 ~2001
876623543175324708710 ~2001
876659579175331915910 ~2001
876670163175334032710 ~2001
8766930911578047563911 ~2003
8766941932104066063311 ~2003
8766952312279407600711 ~2004
876730021526038012710 ~2002
876731621701385296910 ~2002
876786731175357346310 ~2001
876803351175360670310 ~2001
876824303175364860710 ~2001
Exponent Prime Factor Digits Year
876834383175366876710 ~2001
876848123175369624710 ~2001
876848663175369732710 ~2001
876860723175372144710 ~2001
876906839175381367910 ~2001
876933251175386650310 ~2001
876963179175392635910 ~2001
876972023175394404710 ~2001
877002233526201339910 ~2002
877015343175403068710 ~2001
87701779316838741625712 ~2006
877026883877026883110 ~2003
877043483175408696710 ~2001
877069379175413875910 ~2001
877083503175416700710 ~2001
877099439175419887910 ~2001
877130531175426106310 ~2001
8771453831403432612911 ~2003
877190003175438000710 ~2001
877197179175439435910 ~2001
877202297526321378310 ~2002
877208411175441682310 ~2001
877222237526333342310 ~2002
877224671175444934310 ~2001
877246031701796824910 ~2002
Exponent Prime Factor Digits Year
877249871175449974310 ~2001
877251107701800885710 ~2002
877302659175460531910 ~2001
877345867877345867110 ~2003
877374221701899376910 ~2002
877376657526425994310 ~2002
877417237526450342310 ~2002
877538663175507732710 ~2001
877577717526546630310 ~2002
877624619175524923910 ~2001
87763119718254728897712 ~2006
877635491175527098310 ~2001
877661537526596922310 ~2002
877675703175535140710 ~2001
877676939175535387910 ~2001
877679303175535860710 ~2001
877690343175538068710 ~2001
877745951702196760910 ~2002
877752539175550507910 ~2001
877762943175552588710 ~2001
877773719175554743910 ~2001
877777223175555444710 ~2001
877779443175555888710 ~2001
877803623175560724710 ~2001
877844041526706424710 ~2002
Exponent Prime Factor Digits Year
877886879175577375910 ~2001
8778894732106934735311 ~2003
877899623175579924710 ~2001
877960463175592092710 ~2001
878002091175600418310 ~2001
878020277702416221710 ~2002
878088203175617640710 ~2001
878090243175618048710 ~2001
878094719175618943910 ~2001
878105363175621072710 ~2001
878131739175626347910 ~2001
878140643175628128710 ~2001
878141651175628330310 ~2001
878166781526900068710 ~2002
878181659175636331910 ~2001
878185043175637008710 ~2001
8782322172634696651111 ~2004
878259143175651828710 ~2001
8782640871580875356711 ~2003
878274983175654996710 ~2001
878279939175655987910 ~2001
878281919175656383910 ~2001
878366459175673291910 ~2001
878368103175673620710 ~2001
878376253527025751910 ~2002
3405
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25-04-13