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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
589076699117815339910 ~2000
589093619117818723910 ~2000
589114831589114831110 ~2001
5891340671060441320711 ~2002
589136057353481634310 ~2001
589153391117830678310 ~2000
589159079471327263310 ~2001
589167179117833435910 ~2000
589167203117833440710 ~2000
589170899117834179910 ~2000
589172063117834412710 ~2000
589172231117834446310 ~2000
589258451117851690310 ~2000
589264031117852806310 ~2000
589272263117854452710 ~2000
589289111117857822310 ~2000
589299731117859946310 ~2000
589330349825062488710 ~2002
589330919117866183910 ~2000
589333109825066352710 ~2002
589348553353609131910 ~2001
589361819117872363910 ~2000
589367039117873407910 ~2000
5893710731296616360711 ~2002
589424351117884870310 ~2000
Exponent Prime Factor Digits Year
5894408892357763556111 ~2003
589446983117889396710 ~2000
589455539117891107910 ~2000
589469773353681863910 ~2001
589479419117895883910 ~2000
589501217353700730310 ~2001
589538711117907742310 ~2000
589554899471643919310 ~2001
589576103117915220710 ~2000
589611479117922295910 ~2000
589616231117923246310 ~2000
589635437825489611910 ~2002
589638341353783004710 ~2001
589639859117927971910 ~2000
589642811117928562310 ~2000
589663643117932728710 ~2000
58966639112736794045712 ~2004
589666411943466257710 ~2002
589674731117934946310 ~2000
589699337471759469710 ~2001
589722923117944584710 ~2000
589726391117945278310 ~2000
589736531117947306310 ~2000
589744733353846839910 ~2001
589749029471799223310 ~2001
Exponent Prime Factor Digits Year
589761031589761031110 ~2001
589783861353870316710 ~2001
589784771117956954310 ~2000
589837289825772204710 ~2002
589858823117971764710 ~2000
589893911117978782310 ~2000
589914587471931669710 ~2001
589938491117987698310 ~2000
589943759117988751910 ~2000
589948339589948339110 ~2001
5899496692241808742311 ~2003
589951079117990215910 ~2000
589964261471971408910 ~2001
589978859471983087310 ~2001
589993571117998714310 ~2000
590000231118000046310 ~2000
590008283118001656710 ~2000
590014457354008674310 ~2001
590016463944026340910 ~2002
5900183211770054963111 ~2002
590026433354015859910 ~2001
590029571118005914310 ~2000
590050553826070774310 ~2002
590051531118010306310 ~2000
590053043118010608710 ~2000
Exponent Prime Factor Digits Year
590078677354047206310 ~2001
590111857354067114310 ~2001
590119961472095968910 ~2001
590145239118029047910 ~2000
590158643118031728710 ~2000
590163611118032722310 ~2000
590164769472131815310 ~2001
590182493354109495910 ~2001
590191883118038376710 ~2000
590192767590192767110 ~2001
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
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25-11-02