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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
4554438719108877439 ~1999
4554534475192169295911 ~2003
4554662399109324799 ~1999
4554669972186241585711 ~2002
455470651455470651110 ~2000
4554721919109443839 ~1999
4554734771093136344911 ~2001
4554900719109801439 ~1999
455491051455491051110 ~2000
4555168439110336879 ~1999
4555327439110654879 ~1999
4555406999110813999 ~1999
455555861364444688910 ~2000
4555671119111342239 ~1999
4555758719111517439 ~1999
455585539455585539110 ~2000
4555866119111732239 ~1999
4556002319112004639 ~1999
4556788199113576399 ~1999
4556905199113810399 ~1999
455711159364568927310 ~2000
4557161999114323999 ~1999
4557732719115465439 ~1999
4558182839116365679 ~1999
4558209719116419439 ~1999
Exponent Prime Factor Digits Year
4558214519116429039 ~1999
4558495199116990399 ~1999
4558874999117749999 ~1999
4558973039117946079 ~1999
455901973273541183910 ~2000
4559274116930096647311 ~2003
4559368799118737599 ~1999
4559510039119020079 ~1999
4559516039119032079 ~1999
455953321273571992710 ~2000
4559596319119192639 ~1999
4559634119119268239 ~1999
455975519820755934310 ~2001
4559803919119607839 ~1999
455996477273597886310 ~2000
4560033239120066479 ~1999
4560425999120851999 ~1999
4560434039120868079 ~1999
4560681119121362239 ~1999
4560717239121434479 ~1999
4560720599121441199 ~1999
456078239364862591310 ~2000
4560801719121603439 ~1999
4560986519121973039 ~1999
4561032119122064239 ~1999
Exponent Prime Factor Digits Year
4561091519122183039 ~1999
4561278119122556239 ~1999
4561462311915814170311 ~2002
4561560239123120479 ~1999
4561587719123175439 ~1999
4561670399123340799 ~1999
4561714919123429839 ~1999
4561744199123488399 ~1999
4561863839123727679 ~1999
456196459456196459110 ~2000
4562141639124283279 ~1999
4562180399124360799 ~1999
4562233992646095714311 ~2002
4562255519124511039 ~1999
4562298599124597199 ~1999
4562325719124651439 ~1999
456239551456239551110 ~2000
4562422919124845839 ~1999
4562425199124850399 ~1999
4562442599124885199 ~1999
4562505239125010479 ~1999
4562569439125138879 ~1999
456262817273757690310 ~2000
4562703719125407439 ~1999
4562772493285196192911 ~2002
Exponent Prime Factor Digits Year
4562792519125585039 ~1999
4562853839125707679 ~1999
4562972519125945039 ~1999
4563271439126542879 ~1999
4563344091095202581711 ~2001
456337361365069888910 ~2000
4563745439127490879 ~1999
4563931491369179447111 ~2002
4564084799128169599 ~1999
4564114439128228879 ~1999
4564169639128339279 ~1999
456424597273854758310 ~2000
4564250691369275207111 ~2002
456436613273861967910 ~2000
4564489694016750927311 ~2003
456452041273871224710 ~2000
4564579799129159599 ~1999
4564650719129301439 ~1999
456473093273883855910 ~2000
4564823639129647279 ~1999
4564856519129713039 ~1999
4565064119130128239 ~1999
4565120519130241039 ~1999
4565155199130310399 ~1999
4565163839130327679 ~1999
3238
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25-07-20