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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
7070030235090421765711 ~2004
707008607565606885710 ~2002
707031863141406372710 ~2000
707089093424253455910 ~2001
7070992731697038255311 ~2003
707138543141427708710 ~2000
7071401271697136304911 ~2003
707175671141435134310 ~2000
707178683141435736710 ~2000
707185649565748519310 ~2002
707191781424315068710 ~2001
707200199141440039910 ~2000
707207951141441590310 ~2000
7072121092263078748911 ~2003
707216843141443368710 ~2000
707222057424333234310 ~2001
7072323733253268915911 ~2003
707249519141449903910 ~2000
707262683141452536710 ~2000
707263057424357834310 ~2001
707304971141460994310 ~2000
707305691141461138310 ~2000
707311211565848968910 ~2002
707328431141465686310 ~2000
707335487565868389710 ~2002
Exponent Prime Factor Digits Year
707348617424409170310 ~2001
707363291141472658310 ~2000
707372999141474599910 ~2000
707395757424437454310 ~2001
707428343141485668710 ~2000
707456591141491318310 ~2000
7074591711273426507911 ~2002
707470919141494183910 ~2000
707480951141496190310 ~2000
707493971141498794310 ~2000
707516837990523571910 ~2002
707526719141505343910 ~2000
707549159141509831910 ~2000
707553811707553811110 ~2002
707609537424565722310 ~2001
707660171141532034310 ~2000
707675219141535043910 ~2000
707708843141541768710 ~2000
707723339141544667910 ~2000
707725979141545195910 ~2000
707768279141553655910 ~2000
707787127707787127110 ~2002
707804351141560870310 ~2000
707833979141566795910 ~2000
707902651707902651110 ~2002
Exponent Prime Factor Digits Year
707911517424746910310 ~2001
707927543141585508710 ~2000
707938397424763038310 ~2001
707941343141588268710 ~2000
707950163141590032710 ~2000
707958011141591602310 ~2000
707984833424790899910 ~2001
707985779141597155910 ~2000
708026243141605248710 ~2000
708193043141638608710 ~2000
708239201566591360910 ~2002
708265333424959199910 ~2001
708286619141657323910 ~2000
708286811141657362310 ~2000
708308231141661646310 ~2000
7083093971133295035311 ~2002
708311099141662219910 ~2000
708313877424988326310 ~2001
708329423141665884710 ~2000
7083643091558401479911 ~2003
708387923141677584710 ~2000
708390911141678182310 ~2000
708421391141684278310 ~2000
708427793425056675910 ~2001
708451283141690256710 ~2000
Exponent Prime Factor Digits Year
708515243141703048710 ~2000
708527219141705443910 ~2000
708549599141709919910 ~2000
7085510291558812263911 ~2003
7085611511133697841711 ~2002
708574121425144472710 ~2001
708595421566876336910 ~2002
708597671141719534310 ~2000
708606611141721322310 ~2000
708615337425169202310 ~2001
708632377425179426310 ~2001
708634319141726863910 ~2000
708647033425188219910 ~2001
708650617425190370310 ~2001
708668183141733636710 ~2000
708681443141736288710 ~2000
708696431141739286310 ~2000
708708071566966456910 ~2002
708712831708712831110 ~2002
708721523141744304710 ~2000
708729251141745850310 ~2000
7087402431842724631911 ~2003
708746627566997301710 ~2002
708785279141757055910 ~2000
708831059141766211910 ~2000
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26-07-19