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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
5888985913415611827911 ~2003
588900863117780172710 ~2000
5889283571413428056911 ~2002
588930457353358274310 ~2001
588934691117786938310 ~2000
588936311117787262310 ~2000
588937259117787451910 ~2000
588959639117791927910 ~2000
588964751117792950310 ~2000
588967271117793454310 ~2000
588967859117793571910 ~2000
588975839117795167910 ~2000
588982703117796540710 ~2000
588988979471191183310 ~2001
589012499117802499910 ~2000
589016903117803380710 ~2000
589027667471222133710 ~2001
589032071117806414310 ~2000
589065083117813016710 ~2000
589076699117815339910 ~2000
589093619117818723910 ~2000
589114831589114831110 ~2001
5891340671060441320711 ~2002
589136057353481634310 ~2001
589139141353483484710 ~2001
Exponent Prime Factor Digits Year
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
589400857353640514310 ~2001
589424351117884870310 ~2000
5894408892357763556111 ~2003
589446983117889396710 ~2000
589455539117891107910 ~2000
589469773353681863910 ~2001
Exponent Prime Factor Digits Year
589479419117895883910 ~2000
589501217353700730310 ~2001
589538711117907742310 ~2000
589554899471643919310 ~2001
589576103117915220710 ~2000
589587241353752344710 ~2001
589611479117922295910 ~2000
589616231117923246310 ~2000
589635437825489611910 ~2002
589638341353783004710 ~2001
589639859117927971910 ~2000
589642811117928562310 ~2000
589663643117932728710 ~2000
58966639112736794045712 ~2005
589666411943466257710 ~2002
589674731117934946310 ~2000
589699337471759469710 ~2001
589722923117944584710 ~2000
589726391117945278310 ~2000
589736531117947306310 ~2000
589744733353846839910 ~2001
589749029471799223310 ~2001
589761031589761031110 ~2001
589766843117953368710 ~2000
589783861353870316710 ~2001
Exponent Prime Factor Digits Year
589784771117956954310 ~2000
589837289825772204710 ~2002
589858823117971764710 ~2000
589893911117978782310 ~2000
589914587471931669710 ~2001
589925093825895130310 ~2002
589938491117987698310 ~2000
589943759117988751910 ~2000
589948339589948339110 ~2001
5899496692241808742311 ~2003
589951079117990215910 ~2000
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
3750
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26-07-05