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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
58297950075829795007111 ~2009
58298836933497930215911 ~2008
58300675431166013508711 ~2007
58305414013498324840711 ~2008
58306019991166120399911 ~2007
58307163474664573077711 ~2009
58312425831166248516711 ~2007
58313469733498808183911 ~2008
58314123111166282462311 ~2007
58314445791166288915911 ~2007
58314550333498873019911 ~2008
58317395031166347900711 ~2007
58319805231166396104711 ~2007
58321057374665684589711 ~2009
58321371231166427424711 ~2007
58323005595832300559111 ~2009
58323705591166474111911 ~2007
58327579378165861111911 ~2009
58329629631166592592711 ~2007
58335163791166703275911 ~2007
58336910779333905723311 ~2009
58340809791166816195911 ~2007
58342034511166840690311 ~2007
58342214991166844299911 ~2007
58342773773500566426311 ~2008
Exponent Prime Factor Dig. Year
583498259928007916475312 ~2011
58350237231167004744711 ~2007
58350736133501044167911 ~2008
58351692831167033856711 ~2007
58354156431167083128711 ~2007
58357248711167144974311 ~2007
58359265674668741253711 ~2009
58362590573501755434311 ~2008
58365287874669223029711 ~2009
58366075191167321503911 ~2007
58367485791167349715911 ~2007
58368938511167378770311 ~2007
58370423031167408460711 ~2007
583706920914008966101712 ~2010
58371910275837191027111 ~2009
58372735314669818824911 ~2009
58374065933502443955911 ~2008
583757383910507632910312 ~2010
583777807714010667384912 ~2010
58379015991167580319911 ~2007
58379603511167592070311 ~2007
58379698431167593968711 ~2007
58380184191167603683911 ~2007
58381122231167622444711 ~2007
58381558911167631178311 ~2007
Exponent Prime Factor Dig. Year
58382606991167652139911 ~2007
58382692911167653858311 ~2007
58383835911167676718311 ~2007
58384984431167699688711 ~2007
58392549831167850996711 ~2007
58393659973503619598311 ~2008
58395510231167910204711 ~2007
58396846191167936923911 ~2007
58397165813503829948711 ~2008
58399564911167991298311 ~2007
58402903311168058066311 ~2007
58403989978176558595911 ~2009
58404413631168088272711 ~2007
58404688498176656388711 ~2009
58412020191168240403911 ~2007
58413484311168269686311 ~2007
58417518231168350364711 ~2007
58421764911168435298311 ~2007
58421875213505312512711 ~2008
58429139631168582792711 ~2007
58431246133505874767911 ~2008
58431406573505884394311 ~2008
58431479391168629587911 ~2007
58432801613505968096711 ~2008
58436283973506177038311 ~2008
Exponent Prime Factor Dig. Year
58438958031168779160711 ~2007
58440198733506411923911 ~2008
58440680391168813607911 ~2007
58441634391168832687911 ~2007
58445721831168914436711 ~2007
58446841431168936828711 ~2007
58446924591168938491911 ~2007
58449213711168984274311 ~2007
58450832031169016640711 ~2007
58451122573507067354311 ~2008
58454897539352783604911 ~2009
58459438911169188778311 ~2007
58459911894676792951311 ~2009
58462043839353927012911 ~2009
58465099791169301995911 ~2007
58466272191169325443911 ~2007
58467019635846701963111 ~2009
58467184911169343698311 ~2007
58467433613508046016711 ~2008
58468141911169362838311 ~2007
58468204911169364098311 ~2007
58468614831169372296711 ~2007
58470304431169406088711 ~2007
58475818431169516368711 ~2007
58476493431169529868711 ~2007
4085
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25-04-13