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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
2852947319570589463910 ~2005
2853027731570605546310 ~2005
2853078743570615748710 ~2005
2853108959570621791910 ~2005
2853120059570624011910 ~2005
2853163619570632723910 ~2005
28534239771712054386311 ~2006
2853435239570687047910 ~2005
2853479159570695831910 ~2005
2853523511570704702310 ~2005
2853583091570716618310 ~2005
2853635891570727178310 ~2005
2853667643570733528710 ~2005
2853760859570752171910 ~2005
2853798791570759758310 ~2005
28538257312283060584911 ~2006
2853968339570793667910 ~2005
2854107911570821582310 ~2005
2854229123570845824710 ~2005
28542344771712540686311 ~2006
2854311671570862334310 ~2005
28543587892283487031311 ~2006
2854417199570883439910 ~2005
2854473599570894719910 ~2005
2854585823570917164710 ~2005
Exponent Prime Factor Digits Year
2854622891570924578310 ~2005
2854630151570926030310 ~2005
2854653443570930688710 ~2005
28546776771712806606311 ~2006
2854684271570936854310 ~2005
28548270131712896207911 ~2006
2854909223570981844710 ~2005
2855019983571003996710 ~2005
28552029074568324651311 ~2007
28552195192284175615311 ~2006
2855254331571050866310 ~2005
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
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
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25-04-13