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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
831529871166305974310 ~2001
831539141498923484710 ~2002
8315502895155611791911 ~2004
831558251166311650310 ~2001
831568499166313699910 ~2001
831655871166331174310 ~2001
831659399166331879910 ~2001
831709121665367296910 ~2002
831720371166344074310 ~2001
831744899166348979910 ~2001
831790259166358051910 ~2001
831797303166359460710 ~2001
831801163831801163110 ~2002
831837563166367512710 ~2001
83186374311313346904912 ~2005
831906563166381312710 ~2001
831906671665525336910 ~2002
831910271665528216910 ~2002
831931679166386335910 ~2001
8319328976655463176111 ~2005
831973391166394678310 ~2001
832014191166402838310 ~2001
832022039166404407910 ~2001
832023371166404674310 ~2001
832052357499231414310 ~2002
Exponent Prime Factor Digits Year
832058303166411660710 ~2001
832091651166418330310 ~2001
832097597499258558310 ~2002
832100837665680669710 ~2002
832105679166421135910 ~2001
832141991166428398310 ~2001
832179851166435970310 ~2001
832212539166442507910 ~2001
832218899166443779910 ~2001
832301243166460248710 ~2001
832346521499407912710 ~2002
8323593613329437444111 ~2004
832413107665930485710 ~2002
832421123166484224710 ~2001
832430531166486106310 ~2001
832439651166487930310 ~2001
832462999832462999110 ~2002
832465631166493126310 ~2001
832502591166500518310 ~2001
832515863166503172710 ~2001
832520471166504094310 ~2001
832532951166506590310 ~2001
832573751166514750310 ~2001
832609021499565412710 ~2002
832616003166523200710 ~2001
Exponent Prime Factor Digits Year
832617683166523536710 ~2001
832650179166530035910 ~2001
832661699166532339910 ~2001
832682699166536539910 ~2001
832691317499614790310 ~2002
8326988173330795268111 ~2004
832706279166541255910 ~2001
832728311166545662310 ~2001
832754711166550942310 ~2001
832790663166558132710 ~2001
832791761666233408910 ~2002
832794863166558972710 ~2001
832855979166571195910 ~2001
8328895791499201242311 ~2003
832922591166584518310 ~2001
832929899166585979910 ~2001
832941359166588271910 ~2001
832946459166589291910 ~2001
832951153499770691910 ~2002
832953113499771867910 ~2002
832956359166591271910 ~2001
832958279166591655910 ~2001
833011031166602206310 ~2001
833017583166603516710 ~2001
833033951166606790310 ~2001
Exponent Prime Factor Digits Year
833036179833036179110 ~2002
833080103166616020710 ~2001
833084579166616915910 ~2001
833085443166617088710 ~2001
833097059166619411910 ~2001
833107883166621576710 ~2001
833109659166621931910 ~2001
833181659166636331910 ~2001
833189471166637894310 ~2001
833194163166638832710 ~2001
833207789666566231310 ~2002
833226203166645240710 ~2001
833232481499939488710 ~2002
833243003166648600710 ~2001
833247697499948618310 ~2002
833265683166653136710 ~2001
8332688571999845256911 ~2003
833311691166662338310 ~2001
833330639166666127910 ~2001
8333350311500003055911 ~2003
833342401500005440710 ~2002
833352419166670483910 ~2001
833353259166670651910 ~2001
833366603166673320710 ~2001
833375423166675084710 ~2001
3383
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25-04-13