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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
599478941359687364710 ~2001
599496697359698018310 ~2001
599497763119899552710 ~2000
599527979119905595910 ~2000
599555591119911118310 ~2000
599573167599573167110 ~2001
599574263119914852710 ~2000
599580623119916124710 ~2000
599582723119916544710 ~2000
599590223119918044710 ~2000
599592491119918498310 ~2000
599615183119923036710 ~2000
599620123599620123110 ~2001
599660003119932000710 ~2000
5996608511079389531911 ~2002
599676023119935204710 ~2000
599688473359813083910 ~2001
599722919119944583910 ~2000
599724803119944960710 ~2000
5997368873358526567311 ~2003
599747903119949580710 ~2000
599754251119950850310 ~2000
599754839119950967910 ~2000
599757503119951500710 ~2000
599792101359875260710 ~2001
Exponent Prime Factor Digits Year
599797007479837605710 ~2001
599804819119960963910 ~2000
599819201359891520710 ~2001
599839343119967868710 ~2000
599849759119969951910 ~2000
599860883119972176710 ~2000
599873783119974756710 ~2000
599878859119975771910 ~2000
599898479119979695910 ~2000
599900519119980103910 ~2000
599902871119980574310 ~2000
599907851119981570310 ~2000
599928551119985710310 ~2000
599947811119989562310 ~2000
599957723119991544710 ~2000
599968979479975183310 ~2001
599972231119994446310 ~2000
599979041359987424710 ~2001
5999917811319981918311 ~2002
5999962812399985124111 ~2003
600022211120004442310 ~2000
600022343120004468710 ~2000
600056183120011236710 ~2000
600091153360054691910 ~2001
600096803120019360710 ~2000
Exponent Prime Factor Digits Year
6001133691920362780911 ~2003
6001247391080224530311 ~2002
600131881360079128710 ~2001
600137381480109904910 ~2001
600181859120036371910 ~2000
600183851120036770310 ~2000
600194213360116527910 ~2001
600205871120041174310 ~2000
600208571120041714310 ~2000
600212759120042551910 ~2000
600223391120044678310 ~2000
600248783120049756710 ~2000
6002526494201768543111 ~2003
600259501360155700710 ~2001
600299939120059987910 ~2000
600319091120063818310 ~2000
600324671120064934310 ~2000
600328523120065704710 ~2000
600337403120067480710 ~2000
600337733840472826310 ~2002
600338171120067634310 ~2000
600362291120072458310 ~2000
6003725691921192220911 ~2003
600381251120076250310 ~2000
600414179120082835910 ~2000
Exponent Prime Factor Digits Year
600414323120082864710 ~2000
600429083120085816710 ~2000
600453913360272347910 ~2001
600465539120093107910 ~2000
600469043120093808710 ~2000
600474863120094972710 ~2000
600477803120095560710 ~2000
600504683120100936710 ~2000
600543743120108748710 ~2000
600552059120110411910 ~2000
600558863120111772710 ~2000
600587759120117551910 ~2000
600590843120118168710 ~2000
600617051120123410310 ~2000
600618533840865946310 ~2002
600630623120126124710 ~2000
600630743120126148710 ~2000
600661751120132350310 ~2000
600665479600665479110 ~2001
600668903120133780710 ~2000
600671723120134344710 ~2000
600680471120136094310 ~2000
600698711120139742310 ~2000
600726803120145360710 ~2000
600760747600760747110 ~2001
3345
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25-07-08