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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
67229780631344595612711 ~2008
67230808791344616175911 ~2008
672313709320169411279112 ~2011
672325914110757214625712 ~2010
67232828991344656579911 ~2008
67243418631344868372711 ~2008
67244386495379550919311 ~2009
67245110991344902219911 ~2008
67249778511344995570311 ~2008
67251017631345020352711 ~2008
67255231791345104635911 ~2008
67260916996726091699111 ~2009
67264748991345294979911 ~2008
67266343311345326866311 ~2008
67266794511345335890311 ~2008
67272492111345449842311 ~2008
67272832374036369942311 ~2009
67276694391345533887911 ~2008
67278392476727839247111 ~2009
672797081912110347474312 ~2010
67280286831345605736711 ~2008
67282162191345643243911 ~2008
67282798911345655978311 ~2008
67283922591345678451911 ~2008
672849553117494088380712 ~2010
Exponent Prime Factor Dig. Year
67285299591345705991911 ~2008
67285366311345707326311 ~2008
67286527191345730543911 ~2008
67288148215383051856911 ~2009
67288623231345772464711 ~2008
67289017431345780348711 ~2008
67291822791345836455911 ~2008
67294329591345886591911 ~2008
67295956431345919128711 ~2008
67303404111346068082311 ~2008
67314334974038860098311 ~2009
67316216511346324330311 ~2008
67316621391346332427911 ~2008
67318626711346372534311 ~2008
67320027591346400551911 ~2008
67323296214039397772711 ~2009
67323476631346469532711 ~2008
67326323031346526460711 ~2008
67329037195386322975311 ~2009
67335968391346719367911 ~2008
673369092710773905483312 ~2010
67343460111346869202311 ~2008
67343896311346877926311 ~2008
67346570031346931400711 ~2008
67350878391347017567911 ~2008
Exponent Prime Factor Dig. Year
673598514132332728676912 ~2011
67360053591347201071911 ~2008
67361441534041686491911 ~2009
67368427431347368548711 ~2008
67373748831347474976711 ~2008
67375390791347507815911 ~2008
673770149912127862698312 ~2010
67378213315390257064911 ~2009
67389688911347793778311 ~2008
673901919730999488306312 ~2011
67393049631347860992711 ~2008
67395391396739539139111 ~2009
67395888115391671048911 ~2009
67403461431348069228711 ~2008
67403497191348069943911 ~2008
67405753791348115075911 ~2008
67407973791348159475911 ~2008
67408296175392663693711 ~2009
67409907591348198151911 ~2008
67417095111348341902311 ~2008
67417791711348355834311 ~2008
67418286231348365724711 ~2008
67418372991348367459911 ~2008
67419326631348386532711 ~2008
67420933134045255987911 ~2009
Exponent Prime Factor Dig. Year
67421155934045269355911 ~2009
67421717391348434347911 ~2008
67423698595393895887311 ~2009
67434184311348683686311 ~2008
67434665631348693312711 ~2008
67437338031348746760711 ~2008
67442712231348854244711 ~2008
67443711134046622667911 ~2009
67445971311348919426311 ~2008
67447338475395787077711 ~2009
67451028831349020576711 ~2008
67451670831349033416711 ~2008
67452980991349059619911 ~2008
67453314711349066294311 ~2008
67455690231349113804711 ~2008
67456205934047372355911 ~2009
674599959159364796400912 ~2012
67462054191349241083911 ~2008
67467560631349351212711 ~2008
67471164711349423294311 ~2008
67472284311349445686311 ~2008
67474469631349489392711 ~2008
67481513391349630267911 ~2008
67483074591349661491911 ~2008
67491599814049495988711 ~2009
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