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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
58633597911172671958311 ~2007
58634139711172682794311 ~2007
58634181739381469076911 ~2010
58636436511172728730311 ~2007
58637549511172750990311 ~2007
58637564391172751287911 ~2007
58638304875863830487111 ~2009
58638616911172772338311 ~2007
58639615133518376907911 ~2008
58642294431172845888711 ~2007
58642336933518540215911 ~2008
58644875391172897507911 ~2007
58647969231172959384711 ~2007
58648226813518893608711 ~2008
58651130631173022612711 ~2007
586532430714076778336912 ~2010
58654723911173094478311 ~2007
586556801918769817660912 ~2010
58657294515865729451111 ~2009
58657537573519452254311 ~2008
58658836311173176726311 ~2007
58660741431173214828711 ~2007
58661629431173232588711 ~2007
58666261911173325238311 ~2007
58667807391173356147911 ~2007
Exponent Prime Factor Dig. Year
58667852511173357050311 ~2007
58671376914693710152911 ~2009
58673247173520394830311 ~2008
58675223991173504479911 ~2007
58676488791173529775911 ~2007
58680045919388807345711 ~2010
58681889514694551160911 ~2009
58683327591173666551911 ~2007
58684614711173692294311 ~2007
58686583395868658339111 ~2009
58687733773521264026311 ~2008
586883078352819477047112 ~2011
58689400191173788003911 ~2007
58689869991173797399911 ~2007
58691794431173835888711 ~2007
58691903333521514199911 ~2008
58695361733521721703911 ~2008
586954549157521545811912 ~2011
58695549474695643957711 ~2009
58705110711174102214311 ~2007
58705327791174106555911 ~2007
58708502391174170047911 ~2007
58711278591174225571911 ~2007
58712174475871217447111 ~2009
58713854511174277090311 ~2007
Exponent Prime Factor Dig. Year
58719740511174394810311 ~2007
58719880431174397608711 ~2007
58720188711174403774311 ~2007
58720241991174404839911 ~2007
58724190231174483804711 ~2007
58725404031174508080711 ~2007
58726264911174525298311 ~2007
58726875111174537502311 ~2007
58727786511174555730311 ~2007
58727916675872791667111 ~2009
58728237111174564742311 ~2007
58728848511174576970311 ~2007
58728875631174577512711 ~2007
58731078139396972500911 ~2010
58733825031174676500711 ~2007
58739266933524356015911 ~2008
58742407191174848143911 ~2007
58742804631174856092711 ~2007
58745031111174900622311 ~2007
587454935318798557929712 ~2010
58746655275874665527111 ~2009
58747645431174952908711 ~2007
58747901694699832135311 ~2009
58749123111174982462311 ~2007
587521459110575386263912 ~2010
Exponent Prime Factor Dig. Year
58752891591175057831911 ~2007
58754358714700348696911 ~2009
58756454631175129092711 ~2007
58758246831175164936711 ~2007
587583016714101992400912 ~2010
58761151733525669103911 ~2008
58762799631175255992711 ~2007
58765836831175316736711 ~2007
58767076311175341526311 ~2007
58767759231175355184711 ~2007
58768560591175371211911 ~2007
58770469791175409395911 ~2007
58771656111175433122311 ~2007
58775960933526557655911 ~2008
58776443031175528860711 ~2007
587771992914106527829712 ~2010
58777763631175555272711 ~2007
58781016173526860970311 ~2008
58781662013526899720711 ~2008
58783677533527020651911 ~2008
58786067173527164030311 ~2008
58786719231175734384711 ~2007
58788951533527337091911 ~2008
58789781779406365083311 ~2010
58789800831175796016711 ~2007
4237
GIMPS The Prime Pages FactorDb.com
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25-07-20