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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
54076206373244572382311 ~2008
54080394711081607894311 ~2007
54080431431081608628711 ~2007
54080864475408086447111 ~2009
54082624213244957452711 ~2008
540829903712979917688912 ~2010
54083568413245014104711 ~2008
54083732937571722610311 ~2009
54085427394326834191311 ~2008
54086011373245160682311 ~2008
54089643111081792862311 ~2007
54089983518654397361711 ~2009
540903208712981677008912 ~2010
54091705733245502343911 ~2008
54093709791081874195911 ~2007
54094648431081892968711 ~2007
54095705631081914112711 ~2007
54096283191081925663911 ~2007
54097190991081943819911 ~2007
54097851599737613286311 ~2009
54098077311081961546311 ~2007
54098665191081973303911 ~2007
54098774391081975487911 ~2007
54099696111081993922311 ~2007
54100730773246043846311 ~2008
Exponent Prime Factor Dig. Year
54101054391082021087911 ~2007
54102520191082050403911 ~2007
54104717511082094350311 ~2007
54105525711082110514311 ~2007
54107222574328577805711 ~2008
54109440231082188804711 ~2007
54111669831082233396711 ~2007
54112539195411253919111 ~2009
54113233431082264668711 ~2007
54116914875411691487111 ~2009
54120686391082413727911 ~2007
54128496413247709784711 ~2008
54128671431082573428711 ~2007
54129920937578188930311 ~2009
54131660933247899655911 ~2008
54132958194330636655311 ~2008
54133090431082661808711 ~2007
54133434773248006086311 ~2008
54133690013248021400711 ~2008
54133870133248032207911 ~2008
54137433413248246004711 ~2008
54138252231082765044711 ~2007
54138432711082768654311 ~2007
54140567511082811350311 ~2007
54141604911082832098311 ~2007
Exponent Prime Factor Dig. Year
54141986511082839730311 ~2007
54142721813248563308711 ~2008
54143666511082873330311 ~2007
54143914911082878298311 ~2007
541449112712994778704912 ~2010
54149625711082992514311 ~2007
54150150711083003014311 ~2007
54151382475415138247111 ~2009
54153643035415364303111 ~2009
54153952333249237139911 ~2008
54154077733249244663911 ~2008
54156163191083123263911 ~2007
54159934191083198683911 ~2007
54160121097582416952711 ~2009
54161588235416158823111 ~2009
54166232031083324640711 ~2007
54170598594333647887311 ~2009
54175532031083510640711 ~2007
54176659311083533186311 ~2007
54177647213250658832711 ~2008
54179059431083581188711 ~2007
54179267511083585350311 ~2007
54180722391083614447911 ~2007
54183768915418376891111 ~2009
54186618474334929477711 ~2009
Exponent Prime Factor Dig. Year
54187030191083740603911 ~2007
54188547231083770944711 ~2007
54190095591083801911911 ~2007
54192002031083840040711 ~2007
54192599694335407975311 ~2009
54194886711083897734311 ~2007
54194933991083898679911 ~2007
54201199311084023986311 ~2007
54201814911084036298311 ~2007
542018165927100908295112 ~2010
54203070831084061416711 ~2007
54203568711084071374311 ~2007
54211140591084222811911 ~2007
542124570142285716467912 ~2011
54213827511084276550311 ~2007
54214786614337182928911 ~2009
54217301031084346020711 ~2007
54217872231084357444711 ~2007
542196256348797663067112 ~2011
54220197831084403956711 ~2007
54220451991084409039911 ~2007
54221721111084434422311 ~2007
54221787591084435751911 ~2007
54224095191084481903911 ~2007
54224948511084498970311 ~2007
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25-07-08