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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
588529561353117736710 ~2001
5885335972236427668711 ~2003
588541441353124864710 ~2001
588564551117712910310 ~2000
5885669996121096789711 ~2004
588567431117713486310 ~2000
588585659117717131910 ~2000
5886048371765814511111 ~2002
588610619117722123910 ~2000
5886126834355733854311 ~2003
588613357353168014310 ~2001
5886213771412691304911 ~2002
588621491470897192910 ~2001
5886392391412734173711 ~2002
5886506691765952007111 ~2002
588663791117732758310 ~2000
588685837941897339310 ~2002
588690983117738196710 ~2000
588702143117740428710 ~2000
588711569824196196710 ~2002
588725531117745106310 ~2000
588726059117745211910 ~2000
588742859117748571910 ~2000
588749123117749824710 ~2000
588767771117753554310 ~2000
Exponent Prime Factor Digits Year
588768899117753779910 ~2000
5887831971766349591111 ~2002
588808219588808219110 ~2001
588849659117769931910 ~2000
588893621471114896910 ~2001
588896879117779375910 ~2000
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
589032671471226136910 ~2001
Exponent Prime Factor Digits Year
589065083117813016710 ~2000
589076699117815339910 ~2000
589093619117818723910 ~2000
589114831589114831110 ~2001
5891340671060441320711 ~2002
589136057353481634310 ~2001
589139141353483484710 ~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
Exponent Prime Factor Digits Year
5893710731296616360711 ~2002
589424351117884870310 ~2000
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
3582
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26-02-08