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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
589964261471971408910 ~2001
589978859471983087310 ~2001
589993571117998714310 ~2000
590000231118000046310 ~2000
590008283118001656710 ~2000
590014457354008674310 ~2001
590016463944026340910 ~2002
590017733354010639910 ~2001
5900183211770054963111 ~2002
590026433354015859910 ~2001
590029571118005914310 ~2000
590047019118009403910 ~2000
590050553826070774310 ~2002
590051531118010306310 ~2000
590053043118010608710 ~2000
590078677354047206310 ~2001
590111857354067114310 ~2001
590119961472095968910 ~2001
590145239118029047910 ~2000
590158643118031728710 ~2000
590163611118032722310 ~2000
590164769472131815310 ~2001
590182493354109495910 ~2001
590191883118038376710 ~2000
590192767590192767110 ~2001
Exponent Prime Factor Digits Year
590203319118040663910 ~2000
590205641472164512910 ~2001
590209199118041839910 ~2000
590214623118042924710 ~2000
590228519118045703910 ~2000
590228999472183199310 ~2001
590248523118049704710 ~2000
590256041354153624710 ~2001
590256083118051216710 ~2000
590256731118051346310 ~2000
590261017354156610310 ~2001
590262671118052534310 ~2000
5902678791416642909711 ~2002
590273459118054691910 ~2000
590281031118056206310 ~2000
590284511118056902310 ~2000
590289737826405631910 ~2002
590290039590290039110 ~2001
590299561354179736710 ~2001
590306461354183876710 ~2001
590307491118061498310 ~2000
590356751118071350310 ~2000
590371031118074206310 ~2000
590390711472312568910 ~2001
590397851118079570310 ~2000
Exponent Prime Factor Digits Year
590421343590421343110 ~2001
590428151472342520910 ~2001
590445743118089148710 ~2000
590461981354277188710 ~2001
590468363118093672710 ~2000
590493899118098779910 ~2000
590502491472401992910 ~2001
590509691118101938310 ~2000
590528593354317155910 ~2001
590532479118106495910 ~2000
590547299118109459910 ~2000
590593331118118666310 ~2000
590608223118121644710 ~2000
590609399472487519310 ~2001
590612531118122506310 ~2000
590625419118125083910 ~2000
590673613354404167910 ~2001
590680199118136039910 ~2000
590708099118141619910 ~2000
590728613354437167910 ~2001
590734679472587743310 ~2001
590736719118147343910 ~2000
590743859118148771910 ~2000
590755043118151008710 ~2000
590792711118158542310 ~2000
Exponent Prime Factor Digits Year
590808773354485263910 ~2001
590837917354502750310 ~2001
590847113354508267910 ~2001
5908497231536209279911 ~2002
590884751118176950310 ~2000
590898239118179647910 ~2000
5909028012363611204111 ~2003
590903953354542371910 ~2001
590923331118184666310 ~2000
590923523118184704710 ~2000
590928917354557350310 ~2001
5909322112954661055111 ~2003
590950043118190008710 ~2000
590983853827377394310 ~2002
590991983118198396710 ~2000
591027611118205522310 ~2000
591030683118206136710 ~2000
591046277472837021710 ~2001
5910494094255555744911 ~2003
591056171118211234310 ~2000
5910619076738105739911 ~2004
591070043118214008710 ~2000
591079243591079243110 ~2001
591087443118217488710 ~2000
591098203591098203110 ~2001
3624
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26-03-15