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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
768820523153764104710 ~2000
768820583153764116710 ~2000
768834953461300971910 ~2002
768879899153775979910 ~2000
768929543153785908710 ~2000
768976619153795323910 ~2000
768980951153796190310 ~2000
769012259153802451910 ~2000
769058219153811643910 ~2000
769066583153813316710 ~2000
7690666911384320043911 ~2003
769086011153817202310 ~2000
769087391153817478310 ~2000
7691001771076740247911 ~2002
769100831153820166310 ~2000
769115159153823031910 ~2000
7691389134307177912911 ~2004
769147811153829562310 ~2000
769155503153831100710 ~2000
769175063153835012710 ~2000
769191971153838394310 ~2000
769197059153839411910 ~2000
769200359153840071910 ~2000
7692010992615283736711 ~2003
769233937461540362310 ~2002
Exponent Prime Factor Digits Year
769238053461542831910 ~2002
769266863153853372710 ~2000
7692780171076989223911 ~2002
769305143153861028710 ~2000
769334759153866951910 ~2000
769366043153873208710 ~2000
769383623153876724710 ~2000
769446599153889319910 ~2000
769451411153890282310 ~2000
769514437461708662310 ~2002
769516199153903239910 ~2000
769541603153908320710 ~2000
7695603313232153390311 ~2004
769578923153915784710 ~2000
769618691153923738310 ~2000
769715567615772453710 ~2002
769731421461838852710 ~2002
769761851153952370310 ~2000
769809077461885446310 ~2002
769847381615877904910 ~2002
769857443153971488710 ~2000
769865879153973175910 ~2000
769879001461927400710 ~2002
769908941615927152910 ~2002
769930643153986128710 ~2000
Exponent Prime Factor Digits Year
769973773461984263910 ~2002
769977443153995488710 ~2000
769998191153999638310 ~2000
770051699154010339910 ~2000
770059271154011854310 ~2000
770071331154014266310 ~2000
770081321616065056910 ~2002
770100367770100367110 ~2002
770103947616083157710 ~2002
770108039154021607910 ~2000
770131121462078672710 ~2002
770144363154028872710 ~2000
770164939770164939110 ~2002
770166191154033238310 ~2000
770176871154035374310 ~2000
770177189616141751310 ~2002
770200583154040116710 ~2000
770235899154047179910 ~2000
770250011154050002310 ~2000
770267219154053443910 ~2000
770271779154054355910 ~2000
770289287616231429710 ~2002
770310071154062014310 ~2000
770311981462187188710 ~2002
770328059154065611910 ~2000
Exponent Prime Factor Digits Year
770330101462198060710 ~2002
770336519154067303910 ~2000
770368717462221230310 ~2002
770370899154074179910 ~2000
7704238516779729888911 ~2004
770462471154092494310 ~2000
770497571154099514310 ~2000
770515307616412245710 ~2002
770568803154113760710 ~2000
770597339154119467910 ~2000
770611463154122292710 ~2000
770618951154123790310 ~2000
770630347770630347110 ~2002
770630513462378307910 ~2002
770640239154128047910 ~2000
770657171154131434310 ~2000
770665331154133066310 ~2000
7706758031233081284911 ~2003
770721923154144384710 ~2000
7707237431233157988911 ~2003
770729903154145980710 ~2000
770749751154149950310 ~2000
770784491154156898310 ~2000
770794019154158803910 ~2000
770856263154171252710 ~2000
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25-04-13