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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
2918588411583717682310 ~2005
2918613851583722770310 ~2005
29186144999339566396911 ~2008
29187524771751251486311 ~2006
2918761091583752218310 ~2005
2918835599583767119910 ~2005
2918966663583793332710 ~2005
2918976419583795283910 ~2005
2919022679583804535910 ~2005
29192133971751528038311 ~2006
2919300563583860112710 ~2005
2919301919583860383910 ~2005
2919512819583902563910 ~2005
29195299131751717947911 ~2006
2919540839583908167910 ~2005
29196478731751788723911 ~2006
2919680063583936012710 ~2005
2919796751583959350310 ~2005
2919802559583960511910 ~2005
291980335135037640212112 ~2009
29198236011751894160711 ~2006
29198435811751906148711 ~2006
29199020174671843227311 ~2007
2919934463583986892710 ~2005
2919973319583994663910 ~2005
Exponent Prime Factor Digits Year
2920308659584061731910 ~2005
2920375043584075008710 ~2005
29203788292336303063311 ~2006
2920485371584097074310 ~2005
29205350411752321024711 ~2006
29205478731752328723911 ~2006
292058207329789937144712 ~2009
2920621163584124232710 ~2005
29206255072336500405711 ~2006
2920644011584128802310 ~2005
29206932011752415920711 ~2006
2920858679584171735910 ~2005
29208787571752527254311 ~2006
292092414716941360052712 ~2009
29209508411752570504711 ~2006
2920979651584195930310 ~2005
2920989143584197828710 ~2005
29211422211752685332711 ~2006
2921149691584229938310 ~2005
2921181551584236310310 ~2005
29213280616426921734311 ~2007
29213865112337109208911 ~2006
2921471243584294248710 ~2005
2921493059584298611910 ~2005
2921545103584309020710 ~2005
Exponent Prime Factor Digits Year
29215898712921589871111 ~2007
29217398531753043911911 ~2006
29217789018765336703111 ~2008
29218597571753115854311 ~2006
29218998611753139916711 ~2006
2921961599584392319910 ~2005
2922124559584424911910 ~2005
29221513632922151363111 ~2007
2922237179584447435910 ~2005
2922255491584451098310 ~2005
2922306059584461211910 ~2005
29223248411753394904711 ~2006
2922330683584466136710 ~2005
2922444263584488852710 ~2005
2922456983584491396710 ~2005
29225057712922505771111 ~2007
2922574619584514923910 ~2005
2922600503584520100710 ~2005
29226159371753569562311 ~2006
29226820974091754935911 ~2007
29227986531753679191911 ~2006
29228243571753694614311 ~2006
2922850643584570128710 ~2005
2922937103584587420710 ~2005
29230021072338401685711 ~2006
Exponent Prime Factor Digits Year
2923261499584652299910 ~2005
2923277783584655556710 ~2005
29232875931753972555911 ~2006
2923427579584685515910 ~2005
2923531211584706242310 ~2005
2923585799584717159910 ~2005
2923615391584723078310 ~2005
29236191475262514464711 ~2007
2923628483584725696710 ~2005
2923870403584774080710 ~2005
2923916531584783306310 ~2005
29239232272339138581711 ~2006
29239541334093535786311 ~2007
2923974803584794960710 ~2005
2924108963584821792710 ~2005
2924193323584838664710 ~2005
29242467131754548027911 ~2006
2924313011584862602310 ~2005
29244330771754659846311 ~2006
29245351512924535151111 ~2007
2924603639584920727910 ~2005
2924722319584944463910 ~2005
29247834614679653537711 ~2007
2924932319584986463910 ~2005
2925186263585037252710 ~2005
4249
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26-01-11