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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
2854653443570930688710 ~2005
28546776771712806606311 ~2006
2854684271570936854310 ~2005
28548270131712896207911 ~2006
2854909223570981844710 ~2005
2855019983571003996710 ~2005
28552029074568324651311 ~2007
28552195192284175615311 ~2006
2855254331571050866310 ~2005
28553649771713218986311 ~2006
2855760779571152155910 ~2005
28558196832855819683111 ~2007
28558900492284712039311 ~2006
2855904059571180811910 ~2005
2855970443571194088710 ~2005
28561540574569846491311 ~2007
2856270383571254076710 ~2005
2856365651571273130310 ~2005
2856486203571297240710 ~2005
2856571703571314340710 ~2005
2856712751571342550310 ~2005
2856772883571354576710 ~2005
2856900071571380014310 ~2005
28569190011714151400711 ~2006
2856977471571395494310 ~2005
Exponent Prime Factor Digits Year
2857084199571416839910 ~2005
28571425133999999518311 ~2007
2857242851571448570310 ~2005
28572714014571634241711 ~2007
285731056312000704364712 ~2008
2857407431571481486310 ~2005
2857426031571485206310 ~2005
28574660331714479619911 ~2006
2857506299571501259910 ~2005
2857542599571508519910 ~2005
2857594391571518878310 ~2005
2857821803571564360710 ~2005
2857840883571568176710 ~2005
28579931211714795872711 ~2006
28580016592286401327311 ~2006
28580567811714834068711 ~2006
2858120879571624175910 ~2005
28581248896287874755911 ~2007
2858181671571636334310 ~2005
2858186783571637356710 ~2005
2858336363571667272710 ~2005
2858338859571667771910 ~2005
2858401499571680299910 ~2005
2858404943571680988710 ~2005
2858422103571684420710 ~2005
Exponent Prime Factor Digits Year
2858466263571693252710 ~2005
28587309112286984728911 ~2006
2858944331571788866310 ~2005
2859004283571800856710 ~2005
2859107879571821575910 ~2005
2859446459571889291910 ~2005
28594766811715686008711 ~2006
2859684479571936895910 ~2005
2859690059571938011910 ~2005
28597151272287772101711 ~2006
2859763943571952788710 ~2005
28597800978579340291111 ~2008
2859867119571973423910 ~2005
2859884939571976987910 ~2005
2859904451571980890310 ~2005
2859922931571984586310 ~2005
2859979943571995988710 ~2005
2860029983572005996710 ~2005
2860258883572051776710 ~2005
2860369139572073827910 ~2005
2860406303572081260710 ~2005
28604612692288369015311 ~2006
2860477883572095576710 ~2005
2860485923572097184710 ~2005
2860516199572103239910 ~2005
Exponent Prime Factor Digits Year
2860530311572106062310 ~2005
2860555739572111147910 ~2005
2860829879572165975910 ~2005
2860835303572167060710 ~2005
28608808512860880851111 ~2007
2860890731572178146310 ~2005
28609036571716542194311 ~2006
2860906739572181347910 ~2005
2860907459572181491910 ~2005
2860933643572186728710 ~2005
2861120183572224036710 ~2005
2861124023572224804710 ~2005
2861236379572247275910 ~2005
2861258843572251768710 ~2005
2861279903572255980710 ~2005
28612853331716771199911 ~2006
28612925212289034016911 ~2006
28613867996867328317711 ~2008
2861475251572295050310 ~2005
2861487263572297452710 ~2005
286162326711446493068112 ~2008
2861661503572332300710 ~2005
2861972891572394578310 ~2005
28621362731717281763911 ~2006
2862192551572438510310 ~2005
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25-07-08