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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
686753363137350672710 ~2000
686784407549427525710 ~2001
686811397412086838310 ~2001
686838959137367791910 ~2000
6868687511098990001711 ~2002
6868727871236371016711 ~2002
686878763137375752710 ~2000
686888593412133155910 ~2001
686893943137378788710 ~2000
68691133911540110495312 ~2005
686920739137384147910 ~2000
686926991137385398310 ~2000
686959499137391899910 ~2000
686994467549595573710 ~2001
687000791137400158310 ~2000
687014411137402882310 ~2000
687018239137403647910 ~2000
687029363137405872710 ~2000
687030863137406172710 ~2000
687037139137407427910 ~2000
687039539549631631310 ~2001
687060119137412023910 ~2000
687072779137414555910 ~2000
687081959137416391910 ~2000
687087179137417435910 ~2000
Exponent Prime Factor Digits Year
687089581412253748710 ~2001
687097403137419480710 ~2000
687138911137427782310 ~2000
6871622931649189503311 ~2003
6871708992336381056711 ~2003
687191951137438390310 ~2000
687237193412342315910 ~2001
687249443137449888710 ~2000
687250391137450078310 ~2000
6872510231649402455311 ~2003
687258191137451638310 ~2000
687261623137452324710 ~2000
687266483137453296710 ~2000
687269351137453870310 ~2000
687270359137454071910 ~2000
6873241632749296652111 ~2003
687351677412411006310 ~2001
687363623137472724710 ~2000
687384011137476802310 ~2000
687384961412430976710 ~2001
687395363137479072710 ~2000
687410831137482166310 ~2000
687416183137483236710 ~2000
687418163137483632710 ~2000
687428543137485708710 ~2000
Exponent Prime Factor Digits Year
6874406693299715211311 ~2003
687459299137491859910 ~2000
687530111137506022310 ~2000
687546719137509343910 ~2000
687579131137515826310 ~2000
687581183137516236710 ~2000
687593723137518744710 ~2000
687632129550105703310 ~2001
687646439137529287910 ~2000
687663491137532698310 ~2000
687666251137533250310 ~2000
687725903137545180710 ~2000
687726581412635948710 ~2001
687737279137547455910 ~2000
687761351137552270310 ~2000
687805991137561198310 ~2000
687831701412699020710 ~2001
687862691137572538310 ~2000
687871361412722816710 ~2001
687917159137583431910 ~2000
687924599550339679310 ~2001
687938411137587682310 ~2000
687951371137590274310 ~2000
6879558234953281925711 ~2004
6879646811100743489711 ~2002
Exponent Prime Factor Digits Year
688025111137605022310 ~2000
6880451032201744329711 ~2003
688054483688054483110 ~2002
688062971137612594310 ~2000
688149503137629900710 ~2000
68816791311423587355912 ~2005
688185923137637184710 ~2000
688193183137638636710 ~2000
688201991137640398310 ~2000
688235071688235071110 ~2002
6882371591238826886311 ~2002
6882908711238923567911 ~2002
688321031137664206310 ~2000
688322711137664542310 ~2000
6883432391652023773711 ~2003
688351661550681328910 ~2001
688351991137670398310 ~2000
688352531137670506310 ~2000
688358519137671703910 ~2000
6883637271789745690311 ~2003
688372523137674504710 ~2000
688383953963737534310 ~2002
688389203137677840710 ~2000
688402181550721744910 ~2001
688409759137681951910 ~2000
3305
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25-04-13