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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
686190913411714547910 ~2001
686209631137241926310 ~2000
686221331137244266310 ~2000
686232509960725512710 ~2002
686248393411749035910 ~2001
686268613411761167910 ~2001
686290151137258030310 ~2000
686298803137259760710 ~2000
686299331549039464910 ~2001
686306639137261327910 ~2000
686329691137265938310 ~2000
686335633411801379910 ~2001
686379623137275924710 ~2000
686400761549120608910 ~2001
686401483686401483110 ~2002
686402159137280431910 ~2000
686409491137281898310 ~2000
686424659137284931910 ~2000
686435663137287132710 ~2000
686465711137293142310 ~2000
686480891137296178310 ~2000
686482019137296403910 ~2000
686530343137306068710 ~2000
686542211137308442310 ~2000
686576417411945850310 ~2001
Exponent Prime Factor Digits Year
686581661411948996710 ~2001
686605217411963130310 ~2001
686610623137322124710 ~2000
686611259137322251910 ~2000
686613899137322779910 ~2000
686616743137323348710 ~2000
6866728511098676561711 ~2002
686724481412034688710 ~2001
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
Exponent Prime Factor Digits Year
687029363137405872710 ~2000
687030863137406172710 ~2000
687037139137407427910 ~2000
687039539549631631310 ~2001
687060119137412023910 ~2000
687072779137414555910 ~2000
687081959137416391910 ~2000
687087179137417435910 ~2000
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
687281339549825071310 ~2001
6873241632749296652111 ~2003
Exponent Prime Factor Digits Year
687351677412411006310 ~2001
687363623137472724710 ~2000
687384011137476802310 ~2000
687384961412430976710 ~2001
687395363137479072710 ~2000
687410831137482166310 ~2000
687416183137483236710 ~2000
687418163137483632710 ~2000
687428543137485708710 ~2000
6874406693299715211311 ~2003
687459299137491859910 ~2000
6875194991237535098311 ~2002
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
3404
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25-07-08