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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
837264143167452828710 ~2001
8372881213349152484111 ~2004
837291443167458288710 ~2001
837315431167463086310 ~2001
837321547837321547110 ~2002
837342983167468596710 ~2001
837369371167473874310 ~2001
837378071167475614310 ~2001
837504131167500826310 ~2001
8375187011340029921711 ~2003
837533783167506756710 ~2001
837547351837547351110 ~2002
837571741502543044710 ~2002
837615263167523052710 ~2001
837676381502605828710 ~2002
837687443167537488710 ~2001
837708517502625110310 ~2002
837749411167549882310 ~2001
837775583167555116710 ~2001
837781643167556328710 ~2001
837785237502671142310 ~2002
837827891167565578310 ~2001
837831251167566250310 ~2001
837832883167566576710 ~2001
837840901502704540710 ~2002
Exponent Prime Factor Digits Year
837842651670274120910 ~2002
837848171167569634310 ~2001
837900491167580098310 ~2001
837920801670336640910 ~2002
837937027837937027110 ~2002
837941941502765164710 ~2002
837952439670361951310 ~2002
837972851670378280910 ~2002
8379978291173196960711 ~2003
8380428892011302933711 ~2003
838092191167618438310 ~2001
838139639167627927910 ~2001
8381542214023140260911 ~2004
838187939167637587910 ~2001
838195199167639039910 ~2001
838196939167639387910 ~2001
838220653502932391910 ~2002
838228439167645687910 ~2001
8382666793353066716111 ~2004
8382842411341254785711 ~2003
838287479167657495910 ~2001
838303463167660692710 ~2001
838309679167661935910 ~2001
838327631167665526310 ~2001
838367483167673496710 ~2001
Exponent Prime Factor Digits Year
8384171578719538432911 ~2005
838432457503059474310 ~2002
838479539167695907910 ~2001
838492199167698439910 ~2001
8385101633521742684711 ~2004
838538693503123215910 ~2002
838564823167712964710 ~2001
838587131167717426310 ~2001
838608191167721638310 ~2001
838632143167726428710 ~2001
838647443167729488710 ~2001
838673657670938925710 ~2002
838713563167742712710 ~2001
838765139167753027910 ~2001
838793951167758790310 ~2001
838851371167770274310 ~2001
838852979167770595910 ~2001
838855763167771152710 ~2001
838866503167773300710 ~2001
838880831167776166310 ~2001
838913039167782607910 ~2001
838941671167788334310 ~2001
838944479167788895910 ~2001
838969451167793890310 ~2001
839017331167803466310 ~2001
Exponent Prime Factor Digits Year
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
839352623167870524710 ~2001
839374331167874866310 ~2001
839413079167882615910 ~2001
839416619167883323910 ~2001
839468291167893658310 ~2001
839495543167899108710 ~2001
839506043167901208710 ~2001
839515643167903128710 ~2001
8395162971175322815911 ~2003
839525651167905130310 ~2001
839595131167919026310 ~2001
839602331167920466310 ~2001
3386
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25-04-13