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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
4569339371913867874310 ~2006
4569446603913889320710 ~2006
45694539293655563143311 ~2008
456948318721933519297712 ~2010
45696142278225305608711 ~2009
4569649391913929878310 ~2006
4569760619913952123910 ~2006
45698137613655851008911 ~2008
4570010279914002055910 ~2006
45700680918226122563911 ~2009
45701249213656099936911 ~2008
4570780079914156015910 ~2006
45708764212742525852711 ~2008
4570960703914192140710 ~2006
4570988003914197600710 ~2006
45710835412742650124711 ~2008
45711075532742664531911 ~2008
4571133299914226659910 ~2006
45713497013657079760911 ~2008
4571351003914270200710 ~2006
4571411711914282342310 ~2006
45714635213657170816911 ~2008
4571746463914349292710 ~2006
4571819099914363819910 ~2006
45719634412743178064711 ~2008
Exponent Prime Factor Digits Year
4572215051914443010310 ~2006
4572353111914470622310 ~2006
4572471131914494226310 ~2006
45724912518230484251911 ~2009
457253247721033649394312 ~2010
457256374117375742215912 ~2010
4572655751914531150310 ~2006
4572656411914531282310 ~2006
45726635212743598112711 ~2008
4572775439914555087910 ~2006
4572895031914579006310 ~2006
4572956639914591327910 ~2006
4573132703914626540710 ~2006
4573311299914662259910 ~2006
4573434419914686883910 ~2006
4573467443914693488710 ~2006
4573503491914700698310 ~2006
4573634963914726992710 ~2006
4573938359914787671910 ~2006
45739690212744381412711 ~2008
457429968718297198748112 ~2010
4574392859914878571910 ~2006
457445461713723363851112 ~2009
45745233293659618663311 ~2008
457497654726534863972712 ~2010
Exponent Prime Factor Digits Year
45750440837320070532911 ~2009
4575240503915048100710 ~2006
457527787111895722464712 ~2009
457533744776865669109712 ~2011
4575359231915071846310 ~2006
4575512411915102482310 ~2006
4575533591915106718310 ~2006
4575774551915154910310 ~2006
45758471393660677711311 ~2008
45759245573660739645711 ~2008
45760687277321709963311 ~2009
4576171763915234352710 ~2006
4576215971915243194310 ~2006
45762338537321974164911 ~2009
45764244773661139581711 ~2008
45765566172745933970311 ~2008
457681122110068984686312 ~2009
457684183713730525511112 ~2009
4576890239915378047910 ~2006
457712297354925475676112 ~2011
4577197139915439427910 ~2006
4577263403915452680710 ~2006
45775081514577508151111 ~2008
4577695151915539030310 ~2006
4577824943915564988710 ~2006
Exponent Prime Factor Digits Year
4577962979915592595910 ~2006
45780810732746848643911 ~2008
45781206372746872382311 ~2008
4578326531915665306310 ~2006
4578460823915692164710 ~2006
4578499883915699976710 ~2006
4578601871915720374310 ~2006
4578770051915754010310 ~2006
4579275359915855071910 ~2006
4579294523915858904710 ~2006
4579319483915863896710 ~2006
4579376723915875344710 ~2006
4579536239915907247910 ~2006
4579578551915915710310 ~2006
4579764779915952955910 ~2006
4579946411915989282310 ~2006
45801607212748096432711 ~2008
4580161739916032347910 ~2006
45801834732748110083911 ~2008
4580228099916045619910 ~2006
4580328359916065671910 ~2006
4580422163916084432710 ~2006
4580471111916094222310 ~2006
4580553203916110640710 ~2006
45808769572748526174311 ~2008
4456
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26-02-08