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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 Digits Year
1744198139348839627910 ~2003
174426098913605235714312 ~2007
17442620871395409669711 ~2005
1744292519348858503910 ~2003
17443477913139826023911 ~2006
1744389551348877910310 ~2003
1744406291348881258310 ~2003
1744458239348891647910 ~2003
1744466063348893212710 ~2003
1744518371348903674310 ~2003
1744559759348911951910 ~2003
17446831331046809879911 ~2004
1744700999348940199910 ~2003
17447665331046859919911 ~2004
1744823603348964720710 ~2003
17448418211046905092711 ~2004
17449257834187821879311 ~2006
1744928351348985670310 ~2003
1744979063348995812710 ~2003
1745006723349001344710 ~2003
1745039951349007990310 ~2003
17450599693839131931911 ~2006
1745107379349021475910 ~2003
1745233943349046788710 ~2003
1745237183349047436710 ~2003
Exponent Prime Factor Digits Year
1745391311349078262310 ~2003
1745392139349078427910 ~2003
1745412863349082572710 ~2003
17454226211047253572711 ~2004
1745438939349087787910 ~2003
1745510531349102106310 ~2003
1745518559349103711910 ~2003
17455615011047336900711 ~2004
1745619251349123850310 ~2003
1745635511349127102310 ~2003
1745641211349128242310 ~2003
1745652851349130570310 ~2003
1745653583349130716710 ~2003
17456715611047402936711 ~2004
17457055011396564400911 ~2005
1745739263349147852710 ~2003
17458265871396661269711 ~2005
1745882531349176506310 ~2003
1745973191349194638310 ~2003
1745991323349198264710 ~2003
17460430371047625822311 ~2004
1746056759349211351910 ~2003
1746088559349217711910 ~2003
1746109511349221902310 ~2003
1746115043349223008710 ~2003
Exponent Prime Factor Digits Year
1746206699349241339910 ~2003
1746208823349241764710 ~2003
1746223079349244615910 ~2003
17462346713143222407911 ~2006
1746240911349248182310 ~2003
1746275159349255031910 ~2003
17463079873143354376711 ~2006
1746317819349263563910 ~2003
17463433211047805992711 ~2004
1746452759349290551910 ~2003
1746536663349307332710 ~2003
17465591171047935470311 ~2004
1746592811349318562310 ~2003
1746592943349318588710 ~2003
1746602471349320494310 ~2003
17466070071397285605711 ~2005
1746762851349352570310 ~2003
1746775571349355114310 ~2003
1746805583349361116710 ~2003
17469221831746922183111 ~2005
1746934859349386971910 ~2003
17469455811397556464911 ~2005
1747021079349404215910 ~2003
17470523571397641885711 ~2005
17471834571048310074311 ~2004
Exponent Prime Factor Digits Year
1747204559349440911910 ~2003
1747244699349448939910 ~2003
1747286111349457222310 ~2003
1747334279349466855910 ~2003
1747416623349483324710 ~2003
1747419419349483883910 ~2003
1747556411349511282310 ~2003
1747599839349519967910 ~2003
1747695419349539083910 ~2003
17477074492446790428711 ~2005
1747773803349554760710 ~2003
17477984331048679059911 ~2004
1747886279349577255910 ~2003
17479691171048781470311 ~2004
17479809371048788562311 ~2004
17480421432796867428911 ~2005
174805072919578168164912 ~2007
17481813771398545101711 ~2005
1748222519349644503910 ~2003
17483035511748303551111 ~2005
1748417483349683496710 ~2003
1748433623349686724710 ~2003
1748446571349689314310 ~2003
1748464871349692974310 ~2003
1748468219349693643910 ~2003
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25-05-04