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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
745207691149041538310 ~2000
745211639149042327910 ~2000
745252897447151738310 ~2001
745278503149055700710 ~2000
745325261596260208910 ~2002
745332793447199675910 ~2001
745338911149067782310 ~2000
745345019149069003910 ~2000
745364591149072918310 ~2000
745373039149074607910 ~2000
7453861191341695014311 ~2003
745389173447233503910 ~2001
745393871149078774310 ~2000
745414823149082964710 ~2000
745425563149085112710 ~2000
745493351149098670310 ~2000
745536119149107223910 ~2000
745544399149108879910 ~2000
745555691149111138310 ~2000
745601711149120342310 ~2000
745613723149122744710 ~2000
745620257447372154310 ~2001
745655903149131180710 ~2000
745674131149134826310 ~2000
745685357596548285710 ~2002
Exponent Prime Factor Digits Year
745697861447418716710 ~2001
745717883149143576710 ~2000
745722961447433776710 ~2001
745730339149146067910 ~2000
745744991149148998310 ~2000
745747571596598056910 ~2002
745773191149154638310 ~2000
745787303149157460710 ~2000
745852979149170595910 ~2000
745855151149171030310 ~2000
745855343149171068710 ~2000
745894931149178986310 ~2000
745908899149181779910 ~2000
74590947749528389272912 ~2006
745917563149183512710 ~2000
745938731149187746310 ~2000
745959671149191934310 ~2000
745962851149192570310 ~2000
745963811149192762310 ~2000
745995311149199062310 ~2000
745995539149199107910 ~2000
745996103149199220710 ~2000
746036363149207272710 ~2000
746045999149209199910 ~2000
7460467311342884115911 ~2003
Exponent Prime Factor Digits Year
746055119149211023910 ~2000
746082509596866007310 ~2002
746089079149217815910 ~2000
746112599149222519910 ~2000
746113559149222711910 ~2000
746148317447688990310 ~2001
746166847746166847110 ~2002
746171039149234207910 ~2000
746184599149236919910 ~2000
746214263149242852710 ~2000
746223743149244748710 ~2000
746263751149252750310 ~2000
746299979149259995910 ~2000
746342843149268568710 ~2000
746347271149269454310 ~2000
746356153447813691910 ~2001
746361491149272298310 ~2000
746371993447823195910 ~2001
746373497597098797710 ~2002
746383751149276750310 ~2000
746392793447835675910 ~2001
746440379149288075910 ~2000
746449657447869794310 ~2001
746465981597172784910 ~2002
746482133447889279910 ~2001
Exponent Prime Factor Digits Year
7465092731194414836911 ~2003
746514071149302814310 ~2000
746533871149306774310 ~2000
746541311149308262310 ~2000
746556059149311211910 ~2000
746559637447935782310 ~2001
746579111597263288910 ~2002
746625251149325050310 ~2000
746647283149329456710 ~2000
746680019149336003910 ~2000
746680391149336078310 ~2000
746692559149338511910 ~2000
746742719149348543910 ~2000
746760977448056586310 ~2001
746764019149352803910 ~2000
746777519149355503910 ~2000
746777939149355587910 ~2000
746788583149357716710 ~2000
746824223149364844710 ~2000
746850563149370112710 ~2000
746864039149372807910 ~2000
746874371149374874310 ~2000
746876183149375236710 ~2000
7468895034929470719911 ~2004
746920631149384126310 ~2000
3406
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25-06-08