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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
586954549157521545811912 ~2011
58695549474695643957711 ~2009
587018685110566336331912 ~2010
58702705635870270563111 ~2009
58705110711174102214311 ~2007
58705327791174106555911 ~2007
58708502391174170047911 ~2007
58711278591174225571911 ~2007
58712174475871217447111 ~2009
58713854511174277090311 ~2007
58717739031174354780711 ~2007
58719740511174394810311 ~2007
58719880431174397608711 ~2007
58720188711174403774311 ~2007
58720241991174404839911 ~2007
58724190231174483804711 ~2007
58725404031174508080711 ~2007
58726264911174525298311 ~2007
58726875111174537502311 ~2007
58727786511174555730311 ~2007
58727916675872791667111 ~2009
58728223311174564466311 ~2007
58728237111174564742311 ~2007
58728848511174576970311 ~2007
58728875631174577512711 ~2007
Exponent Prime Factor Dig. Year
58731078139396972500911 ~2010
58731339711174626794311 ~2007
58733825031174676500711 ~2007
58739266933524356015911 ~2009
58742407191174848143911 ~2007
58742804631174856092711 ~2007
58743642831174872856711 ~2007
58745031111174900622311 ~2007
587454935318798557929712 ~2010
58746655275874665527111 ~2009
58747645431174952908711 ~2007
58747901694699832135311 ~2009
58749123111174982462311 ~2007
587521459110575386263912 ~2010
58752891591175057831911 ~2007
58754358714700348696911 ~2009
58756454631175129092711 ~2007
58758246831175164936711 ~2007
587583016714101992400912 ~2010
58761151733525669103911 ~2009
58762799631175255992711 ~2007
58765836831175316736711 ~2007
58767076311175341526311 ~2007
58767759231175355184711 ~2007
58768560591175371211911 ~2007
Exponent Prime Factor Dig. Year
58770469791175409395911 ~2007
58771656111175433122311 ~2007
58775960933526557655911 ~2009
58776443031175528860711 ~2007
587771992914106527829712 ~2010
587776912714106645904912 ~2010
58777763631175555272711 ~2007
58781016173526860970311 ~2009
58781064111175621282311 ~2007
58781662013526899720711 ~2009
58783677533527020651911 ~2009
58786067173527164030311 ~2009
58786719231175734384711 ~2007
58786722774702937821711 ~2009
58788951533527337091911 ~2009
58789781779406365083311 ~2010
58789800831175796016711 ~2007
58792314973527538898311 ~2009
58793570511175871410311 ~2007
58800626413528037584711 ~2009
588010015118816320483312 ~2010
58801570333528094219911 ~2009
58801665973528099958311 ~2009
58802347911176046958311 ~2007
58804184511176083690311 ~2007
Exponent Prime Factor Dig. Year
58804592511176091850311 ~2007
58807763511176155270311 ~2007
58808198514704655880911 ~2009
58810392711176207854311 ~2007
58811863138233660838311 ~2009
58812454311176249086311 ~2007
58816074413528964464711 ~2009
58816249431176324988711 ~2007
58816900791176338015911 ~2007
58817634173529058050311 ~2009
58817895831176357916711 ~2007
58820238013529214280711 ~2009
58823532831176470656711 ~2007
58824129111176482582311 ~2007
58824490311176489806311 ~2007
58825338231176506764711 ~2007
58826212191176524243911 ~2007
58827281511176545630311 ~2007
58829161311176583226311 ~2007
58830450111176609002311 ~2007
58831182075883118207111 ~2009
58831560111176631202311 ~2007
58833605511176672110311 ~2007
58833711831176674236711 ~2007
58833731031176674620711 ~2007
4815
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26-08-02