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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
4177714811835542962310 ~2006
417779976146791357323312 ~2010
4177956851835591370310 ~2006
41781799036685087844911 ~2008
4178398811835679762310 ~2006
4178435879835687175910 ~2006
4178455811835691162310 ~2006
4178546831835709366310 ~2006
41786623932507197435911 ~2007
41789675474178967547111 ~2008
4179101051835820210310 ~2006
4179193619835838723910 ~2006
4179231503835846300710 ~2006
4179476159835895231910 ~2006
4179646631835929326310 ~2006
41797509772507850586311 ~2007
417976837710031444104912 ~2009
4179880571835976114310 ~2006
4179982223835996444710 ~2006
4180100843836020168710 ~2006
4180161371836032274310 ~2006
4180306283836061256710 ~2006
4180735631836147126310 ~2006
4180752743836150548710 ~2006
41807628412508457704711 ~2007
Exponent Prime Factor Digits Year
41808968234180896823111 ~2008
4180935491836187098310 ~2006
4181030291836206058310 ~2006
4181150159836230031910 ~2006
4181341019836268203910 ~2006
4181349131836269826310 ~2006
4181386571836277314310 ~2006
4181851763836370352710 ~2006
4181867603836373520710 ~2006
41822214893345777191311 ~2008
4182234383836446876710 ~2006
4182242231836448446310 ~2006
4182389891836477978310 ~2006
41824133172509447990311 ~2007
41827319813346185584911 ~2008
4183257251836651450310 ~2006
418339363310040144719312 ~2009
4183602443836720488710 ~2006
4183765991836753198310 ~2006
4183873559836774711910 ~2006
4183904531836780906310 ~2006
41839118812510347128711 ~2007
41842511213347400896911 ~2008
4184310479836862095910 ~2006
4184328359836865671910 ~2006
Exponent Prime Factor Digits Year
4184625251836925050310 ~2006
4184821559836964311910 ~2006
4184831663836966332710 ~2006
41848334393347866751311 ~2008
41852072693348165815311 ~2008
4185299483837059896710 ~2006
4185533063837106612710 ~2006
418558335166969333616112 ~2011
4185631979837126395910 ~2006
4185686903837137380710 ~2006
4185743843837148768710 ~2006
41859739913348779192911 ~2008
418666888316746675532112 ~2009
4186702979837340595910 ~2006
4186896251837379250310 ~2006
41869265172512155910311 ~2007
41869654012512179240711 ~2007
4186990019837398003910 ~2006
4187026331837405266310 ~2006
41870626812512237608711 ~2007
4187171843837434368710 ~2006
4187217323837443464710 ~2006
4187328419837465683910 ~2006
4187425211837485042310 ~2006
41874489132512469347911 ~2007
Exponent Prime Factor Digits Year
4187727983837545596710 ~2006
41877649132512658947911 ~2007
4187893763837578752710 ~2006
41879483572512769014311 ~2007
41882701135863578158311 ~2008
4188659171837731834310 ~2006
4189016651837803330310 ~2006
41890391573351231325711 ~2008
4189140419837828083910 ~2006
4189221383837844276710 ~2006
4189236851837847370310 ~2006
41894946412513696784711 ~2007
4189516679837903335910 ~2006
41897052717541469487911 ~2009
41897434732513846083911 ~2007
4189746371837949274310 ~2006
4189761899837952379910 ~2006
4189924523837984904710 ~2006
4189942079837988415910 ~2006
41900033812514002028711 ~2007
4190026751838005350310 ~2006
41900442532514026551911 ~2007
41903460593352276847311 ~2008
41904085812514245148711 ~2007
4190443583838088716710 ~2006
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