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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
720566519144113303910 ~2000
720583823144116764710 ~2000
720594683144118936710 ~2000
7206123311152979729711 ~2002
720644363144128872710 ~2000
720651143144130228710 ~2000
7206588775621139240711 ~2004
720668891144133778310 ~2000
720686903144137380710 ~2000
720701099144140219910 ~2000
720701879144140375910 ~2000
720711143144142228710 ~2000
720769019576615215310 ~2002
720785519144157103910 ~2000
720813683144162736710 ~2000
720867839144173567910 ~2000
720876239144175247910 ~2000
720886223144177244710 ~2000
720923123144184624710 ~2000
720929501432557700710 ~2001
7209304731730233135311 ~2003
720940331144188066310 ~2000
720941183144188236710 ~2000
720953771144190754310 ~2000
720990379720990379110 ~2002
Exponent Prime Factor Digits Year
720994039720994039110 ~2002
721002307721002307110 ~2002
721073747576858997710 ~2002
721077323144215464710 ~2000
721110779144222155910 ~2000
721122299144224459910 ~2000
721129679144225935910 ~2000
721132523144226504710 ~2000
721148333432688999910 ~2001
721151243144230248710 ~2000
721153703144230740710 ~2000
721158731144231746310 ~2000
721159739144231947910 ~2000
721188623144237724710 ~2000
721209959144241991910 ~2000
721216997432730198310 ~2001
721236199721236199110 ~2002
721255163144251032710 ~2000
721276151144255230310 ~2000
721278251144255650310 ~2000
721305983144261196710 ~2000
721337003144267400710 ~2000
721338251144267650310 ~2000
721357859144271571910 ~2000
721375751144275150310 ~2000
Exponent Prime Factor Digits Year
721380287577104229710 ~2002
721407623144281524710 ~2000
721431131144286226310 ~2000
721435679144287135910 ~2000
721436951144287390310 ~2000
721451651144290330310 ~2000
721472183144294436710 ~2000
721474751144294950310 ~2000
721520903144304180710 ~2000
721527421432916452710 ~2001
721536239144307247910 ~2000
721543799144308759910 ~2000
721554863144310972710 ~2000
721557059144311411910 ~2000
721571057577256845710 ~2002
7215763792309044412911 ~2003
72161948933338820391912 2006
721626071144325214310 ~2000
7216488011154638081711 ~2002
721654237432992542310 ~2001
721666727577333381710 ~2002
721676603144335320710 ~2000
721708781577367024910 ~2002
721711499577369199310 ~2002
721736219144347243910 ~2000
Exponent Prime Factor Digits Year
721767983144353596710 ~2000
721770323144354064710 ~2000
721770671144354134310 ~2000
721790603144358120710 ~2000
721803683144360736710 ~2000
7218179393031635343911 ~2003
7218187676496368903111 ~2004
721839119144367823910 ~2000
721848887577479109710 ~2002
721878623144375724710 ~2000
721885993433131595910 ~2001
721893251144378650310 ~2000
721899011144379802310 ~2000
721903943144380788710 ~2000
721919357433151614310 ~2001
721920863144384172710 ~2000
721938551144387710310 ~2000
72194022718048505675112 ~2005
721957823144391564710 ~2000
721965659144393131910 ~2000
721969273433181563910 ~2001
722002657433201594310 ~2001
722040083144408016710 ~2000
722054051144410810310 ~2000
722098843722098843110 ~2002
3564
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25-11-02