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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
727896173436737703910 ~2001
727903703145580740710 ~2000
727916963145583392710 ~2000
7279176897570343965711 ~2004
727929947582343957710 ~2002
727937123145587424710 ~2000
7279553771164728603311 ~2002
727975019145595003910 ~2000
727987259145597451910 ~2000
72799947115287988891112 ~2005
728012941436807764710 ~2001
728014751145602950310 ~2000
7280235011164837601711 ~2002
728053831728053831110 ~2002
728077019145615403910 ~2000
728133743145626748710 ~2000
728145059145629011910 ~2000
728171891145634378310 ~2000
728180081436908048710 ~2001
728186411145637282310 ~2000
728192243145638448710 ~2000
728244059145648811910 ~2000
728244683145648936710 ~2000
728254031145650806310 ~2000
728260451145652090310 ~2000
Exponent Prime Factor Digits Year
728262617582610093710 ~2002
728276603145655320710 ~2000
728286551145657310310 ~2000
728289311145657862310 ~2000
728320811145664162310 ~2000
728327291145665458310 ~2000
728345231145669046310 ~2000
728355983145671196710 ~2000
7283667131165386740911 ~2002
728368499145673699910 ~2000
7283816291748115909711 ~2003
728385659145677131910 ~2000
728405663145681132710 ~2000
728408699145681739910 ~2000
728413391145682678310 ~2000
728431799145686359910 ~2000
728460839145692167910 ~2000
728467199145693439910 ~2000
728494631145698926310 ~2000
728503043145700608710 ~2000
728507599728507599110 ~2002
728520811728520811110 ~2002
728523143145704628710 ~2000
728532803145706560710 ~2000
728584511145716902310 ~2000
Exponent Prime Factor Digits Year
7286226731165796276911 ~2002
7286502311165840369711 ~2002
728677619145735523910 ~2000
728678003145735600710 ~2000
728691851145738370310 ~2000
728702477437221486310 ~2001
728748193437248915910 ~2001
728755691145751138310 ~2000
728779319145755863910 ~2000
728817989583054391310 ~2002
728818019145763603910 ~2000
728850119145770023910 ~2000
728861999145772399910 ~2000
728865899145773179910 ~2000
728882639145776527910 ~2000
728909183145781836710 ~2000
7289093875393929463911 ~2004
728910437437346262310 ~2001
7289232671166277227311 ~2002
7289357591312084366311 ~2003
728952181437371308710 ~2001
728955959145791191910 ~2000
728970743145794148710 ~2000
728971583145794316710 ~2000
728988437437393062310 ~2001
Exponent Prime Factor Digits Year
729002999145800599910 ~2000
729004379145800875910 ~2000
729020311729020311110 ~2002
729032351145806470310 ~2000
729032477437419486310 ~2001
729039581437423748710 ~2001
729056129583244903310 ~2002
729093191145818638310 ~2000
729100283145820056710 ~2000
729105131145821026310 ~2000
729111731583289384910 ~2002
729124523145824904710 ~2000
729129539145825907910 ~2000
729143879145828775910 ~2000
729148583145829716710 ~2000
729157811145831562310 ~2000
729159083145831816710 ~2000
729164099145832819910 ~2000
729191663145838332710 ~2000
729193499145838699910 ~2000
729214163145842832710 ~2000
729216083145843216710 ~2000
7292338212187701463111 ~2003
729257077437554246310 ~2001
729258899145851779910 ~2000
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25-11-17