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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
613196483122639296710 ~2000
6132024415273540992711 ~2004
613211941367927164710 ~2001
613226063122645212710 ~2000
613243613367946167910 ~2001
613261823122652364710 ~2000
613274279122654855910 ~2000
613294859122658971910 ~2000
613299143122659828710 ~2000
613338839490671071310 ~2001
6133736993066868495111 ~2003
613383779122676755910 ~2000
613389713858745598310 ~2002
613404479122680895910 ~2000
613411439490729151310 ~2001
613412909858778072710 ~2002
613415963122683192710 ~2000
613418423122683684710 ~2000
613466663122693332710 ~2000
613467539122693507910 ~2000
613508123122701624710 ~2000
613509119122701823910 ~2000
613513633368108179910 ~2001
613544663122708932710 ~2000
613551527490841221710 ~2001
Exponent Prime Factor Digits Year
613578299122715659910 ~2000
613586639122717327910 ~2000
613625141368175084710 ~2001
613637039122727407910 ~2000
613640603122728120710 ~2000
613655639122731127910 ~2000
613662781368197668710 ~2001
613663139122732627910 ~2000
613671143122734228710 ~2000
613692791122738558310 ~2000
613716581368229948710 ~2001
613739459122747891910 ~2000
613756133368253679910 ~2001
613801193368280715910 ~2001
613830071491064056910 ~2001
613870997491096797710 ~2001
6138964431964468617711 ~2003
613920179122784035910 ~2000
613939619122787923910 ~2000
6139415213806437430311 ~2003
613953491122790698310 ~2000
613953779122790755910 ~2000
613984691122796938310 ~2000
614008061368404836710 ~2001
614015819122803163910 ~2000
Exponent Prime Factor Digits Year
614047277491237821710 ~2001
614080559122816111910 ~2000
614087843122817568710 ~2000
614142359122828471910 ~2000
614165047982664075310 ~2002
614168339122833667910 ~2000
614184871982695793710 ~2002
614195353368517211910 ~2001
6141997271105559508711 ~2002
614204099122840819910 ~2000
614212223122842444710 ~2000
614239091122847818310 ~2000
614239217491391373710 ~2001
614239589491391671310 ~2001
614242157368545294310 ~2001
614252783122850556710 ~2000
614272861368563716710 ~2001
614302511122860502310 ~2000
614317523122863504710 ~2000
614324233368594539910 ~2001
6143243391474378413711 ~2002
614340539122868107910 ~2000
614349959122869991910 ~2000
614388781368633268710 ~2001
614421461368652876710 ~2001
Exponent Prime Factor Digits Year
614433203122886640710 ~2000
614435771122887154310 ~2000
614476873368686123910 ~2001
614517637368710582310 ~2001
614568463614568463110 ~2001
6145684633933238163311
614582923614582923110 ~2001
614595671122919134310 ~2000
614624459122924891910 ~2000
614703203122940640710 ~2000
614713199122942639910 ~2000
614723303122944660710 ~2000
614748983122949796710 ~2000
614786099122957219910 ~2000
614830889491864711310 ~2001
614883901368930340710 ~2001
614891171122978234310 ~2000
614904071491923256910 ~2001
6149048111106828659911 ~2002
614927363122985472710 ~2000
6149356691844807007111 ~2003
614956739122991347910 ~2000
614958131122991626310 ~2000
614971463122994292710 ~2000
614983283122996656710 ~2000
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25-05-04