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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
2100765323420153064710 ~2004
2100781811420156362310 ~2004
21008305971260498358311 ~2005
21008950011260537000711 ~2005
2100948623420189724710 ~2004
2100959999420191999910 ~2004
2101018919420203783910 ~2004
2101081319420216263910 ~2004
21011168411260670104711 ~2005
21011677211260700632711 ~2005
2101185071420237014310 ~2004
21011928595042862861711 ~2006
2101375943420275188710 ~2004
2101484459420296891910 ~2004
2101533443420306688710 ~2004
21015358971260921538311 ~2005
2101613999420322799910 ~2004
21016416371260984982311 ~2005
2101700411420340082310 ~2004
2101716731420343346310 ~2004
2101749203420349840710 ~2004
21018337931261100275911 ~2005
2101926779420385355910 ~2004
2101938983420387796710 ~2004
21019803131261188187911 ~2005
Exponent Prime Factor Digits Year
2101985603420397120710 ~2004
2102029883420405976710 ~2004
2102080691420416138310 ~2004
21022252611261335156711 ~2005
2102354279420470855910 ~2004
2102378543420475708710 ~2004
2102448839420489767910 ~2004
2102476979420495395910 ~2004
21025067332943509426311 ~2006
2102520239420504047910 ~2004
2102634491420526898310 ~2004
2102639603420527920710 ~2004
21027660131261659607911 ~2005
21028491073364558571311 ~2006
21028700511682296040911 ~2005
2102879819420575963910 ~2004
2102886563420577312710 ~2004
2103059771420611954310 ~2004
2103143963420628792710 ~2004
2103255239420651047910 ~2004
2103347483420669496710 ~2004
2103444911420688982310 ~2004
2103581999420716399910 ~2004
2103632159420726431910 ~2004
21036600591682928047311 ~2005
Exponent Prime Factor Digits Year
2103744119420748823910 ~2004
2103817799420763559910 ~2004
2103835199420767039910 ~2004
21038593211262315592711 ~2005
2103871631420774326310 ~2004
2103940211420788042310 ~2004
21039462672103946267111 ~2006
21039922211262395332711 ~2005
2104015451420803090310 ~2004
21040822131262449327911 ~2005
21041183211683294656911 ~2005
2104123319420824663910 ~2004
210413702923145507319112 ~2008
21041511171262490670311 ~2005
2104173119420834623910 ~2004
2104372043420874408710 ~2004
21044212696313263807111 ~2007
2104525151420905030310 ~2004
2104538291420907658310 ~2004
2104694159420938831910 ~2004
2104725803420945160710 ~2004
21047719611262863176711 ~2005
2104856951420971390310 ~2004
2104907891420981578310 ~2004
21049446312104944631111 ~2006
Exponent Prime Factor Digits Year
210500015311788000856912 ~2007
2105070839421014167910 ~2004
2105141099421028219910 ~2004
21051529675473397714311 ~2007
21051737531263104251911 ~2005
21052161371263129682311 ~2005
2105228591421045718310 ~2004
2105318219421063643910 ~2004
2105337359421067471910 ~2004
2105350883421070176710 ~2004
21053577313789643915911 ~2006
2105468363421093672710 ~2004
21055427298422170916111 ~2007
2105568611421113722310 ~2004
21055851373368936219311 ~2006
2105659859421131971910 ~2004
2105746631421149326310 ~2004
2105780783421156156710 ~2004
2105822843421164568710 ~2004
2105860343421172068710 ~2004
21058799571263527974311 ~2005
2106027743421205548710 ~2004
21060525171263631510311 ~2005
21061188771263671326311 ~2005
21061649595054795901711 ~2006
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25-04-13