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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
744674159148934831910 ~2000
744674573446804743910 ~2001
7446861792531933008711 ~2003
744737303148947460710 ~2000
744743761446846256710 ~2001
744746399148949279910 ~2000
744753001446851800710 ~2001
744774671148954934310 ~2000
744789359148957871910 ~2000
7447956731191673076911 ~2003
7448230491042752268711 ~2002
744824831148964966310 ~2000
744826223148965244710 ~2000
744848707744848707110 ~2002
744859783744859783110 ~2002
744866099148973219910 ~2000
744870913446922547910 ~2001
744896759148979351910 ~2000
744927731148985546310 ~2000
7449512111340912179911 ~2003
7449814671340966640711 ~2003
744991451148998290310 ~2000
7450063991341011518311 ~2003
745011419149002283910 ~2000
745019603149003920710 ~2000
Exponent Prime Factor Digits Year
745025483149005096710 ~2000
745028939149005787910 ~2000
745029023149005804710 ~2000
745030883149006176710 ~2000
745056419149011283910 ~2000
745066321447039792710 ~2001
745082183149016436710 ~2000
745086971149017394310 ~2000
745096931149019386310 ~2000
745122671149024534310 ~2000
745155703745155703110 ~2002
745162703149032540710 ~2000
7451927512384616803311 ~2003
745198763149039752710 ~2000
745207691149041538310 ~2000
745211639149042327910 ~2000
745252897447151738310 ~2001
745278503149055700710 ~2000
745332793447199675910 ~2001
745338911149067782310 ~2000
745345019149069003910 ~2000
745364591149072918310 ~2000
745373039149074607910 ~2000
7453861191341695014311 ~2003
745389173447233503910 ~2001
Exponent Prime Factor Digits Year
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
745697861447418716710 ~2001
745717883149143576710 ~2000
745722961447433776710 ~2001
745730339149146067910 ~2000
745744991149148998310 ~2000
745747571596598056910 ~2002
745773191149154638310 ~2000
745787303149157460710 ~2000
745852979149170595910 ~2000
745855151149171030310 ~2000
745855343149171068710 ~2000
745894931149178986310 ~2000
Exponent Prime Factor Digits Year
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
746055119149211023910 ~2000
746082509596866007310 ~2002
746089079149217815910 ~2000
746112599149222519910 ~2000
746113559149222711910 ~2000
746148317447688990310 ~2001
746166847746166847110 ~2002
746171039149234207910 ~2000
746184599149236919910 ~2000
746214263149242852710 ~2000
746223743149244748710 ~2000
746263751149252750310 ~2000
3455
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25-07-20