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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
838195199167639039910 ~2001
838196939167639387910 ~2001
838220653502932391910 ~2002
838228439167645687910 ~2001
8382666793353066716111 ~2004
8382842411341254785711 ~2003
838287479167657495910 ~2001
838303463167660692710 ~2001
838309679167661935910 ~2001
838327631167665526310 ~2001
838367483167673496710 ~2001
8384171578719538432911 ~2005
838432457503059474310 ~2002
838479539167695907910 ~2001
838492199167698439910 ~2001
8385101633521742684711 ~2004
838538693503123215910 ~2002
838558297503134978310 ~2002
838564823167712964710 ~2001
838587131167717426310 ~2001
838608191167721638310 ~2001
838632143167726428710 ~2001
838647443167729488710 ~2001
838673657670938925710 ~2002
838713563167742712710 ~2001
Exponent Prime Factor Digits Year
838765139167753027910 ~2001
838793951167758790310 ~2001
838851371167770274310 ~2001
838852979167770595910 ~2001
838855763167771152710 ~2001
838866503167773300710 ~2001
838880831167776166310 ~2001
838913039167782607910 ~2001
838941671167788334310 ~2001
838944479167788895910 ~2001
838969451167793890310 ~2001
839017331167803466310 ~2001
839022419167804483910 ~2001
839040473503424283910 ~2002
839045941503427564710 ~2002
839058719167811743910 ~2001
839094071167818814310 ~2001
839110379167822075910 ~2001
839125403167825080710 ~2001
839143199167828639910 ~2001
839143691167828738310 ~2001
839146339839146339110 ~2002
839158319167831663910 ~2001
839214331839214331110 ~2002
839287357503572414310 ~2002
Exponent Prime Factor Digits Year
839352623167870524710 ~2001
839374331167874866310 ~2001
839413079167882615910 ~2001
839416619167883323910 ~2001
839468291167893658310 ~2001
839495543167899108710 ~2001
839506043167901208710 ~2001
839515643167903128710 ~2001
8395162971175322815911 ~2003
839525651167905130310 ~2001
839595131167919026310 ~2001
839602331167920466310 ~2001
839627681503776608710 ~2002
839643851167928770310 ~2001
839661503167932300710 ~2001
839692643167938528710 ~2001
839747813503848687910 ~2002
839791639839791639110 ~2002
839798321503878992710 ~2002
839803511167960702310 ~2001
839827403167965480710 ~2001
8398846971175838575911 ~2003
839901323167980264710 ~2001
8399913771175987927911 ~2003
839995511167999102310 ~2001
Exponent Prime Factor Digits Year
839997311167999462310 ~2001
840007643168001528710 ~2001
8400197513528082954311 ~2004
840085451168017090310 ~2001
840087377504052426310 ~2002
840117059168023411910 ~2001
840124559168024911910 ~2001
8401251773192475672711 ~2004
840133331168026666310 ~2001
840174683168034936710 ~2001
840218521504131112710 ~2002
840228899168045779910 ~2001
840239303168047860710 ~2001
840240539168048107910 ~2001
840256661504153996710 ~2002
840264281672211424910 ~2002
8402698931848593764711 ~2003
840296923840296923110 ~2002
840310403168062080710 ~2001
840321803168064360710 ~2001
840334283168066856710 ~2001
840336179168067235910 ~2001
840357263168071452710 ~2001
840373799168074759910 ~2001
840413471168082694310 ~2001
3412
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25-05-04