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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
541646951108329390310 ~1999
541658459974985226310 ~2002
541658857324995314310 ~2000
541697297433357837710 ~2001
541727783108345556710 ~1999
541728371108345674310 ~1999
5417395673575481142311 ~2003
541752677325051606310 ~2000
541758011108351602310 ~1999
541768523108353704710 ~1999
541777763108355552710 ~1999
541790423108358084710 ~1999
541810013325086007910 ~2000
541814411108362882310 ~1999
541822331108364466310 ~1999
541844531108368906310 ~1999
541883339108376667910 ~1999
541885709433508567310 ~2001
541909619108381923910 ~1999
541912103108382420710 ~1999
541914563108382912710 ~1999
541915331108383066310 ~1999
541958617325175170310 ~2000
541993163108398632710 ~1999
542010871542010871110 ~2001
Exponent Prime Factor Digits Year
542037599108407519910 ~1999
542055203108411040710 ~1999
542078297325246978310 ~2000
542084533867335252910 ~2001
542085857433668685710 ~2001
5420929872168371948111 ~2002
542117483108423496710 ~1999
542118371108423674310 ~1999
542129963108425992710 ~1999
542139431108427886310 ~1999
542170319108434063910 ~1999
542179199433743359310 ~2001
542182273325309363910 ~2000
5422362172060497624711 ~2002
542253191108450638310 ~1999
542257931108451586310 ~1999
542261591108452318310 ~1999
542304601325382760710 ~2000
542362003542362003110 ~2001
542363831108472766310 ~1999
542376431108475286310 ~1999
542379791108475958310 ~1999
5424203931735745257711 ~2002
542425703108485140710 ~1999
542445671108489134310 ~1999
Exponent Prime Factor Digits Year
542474651108494930310 ~1999
542482799108496559910 ~1999
5424850572169940228111 ~2002
542487779108497555910 ~1999
542488763108497752710 ~1999
542489219108497843910 ~1999
542501111108500222310 ~1999
542502539108500507910 ~1999
542505791108501158310 ~1999
542514023108502804710 ~1999
542542943108508588710 ~1999
5425480032278701612711 ~2002
542557621325534572710 ~2000
542562593325537555910 ~2000
542577179108515435910 ~1999
542586119108517223910 ~1999
542613671434090936910 ~2001
542613899108522779910 ~1999
542641271434113016910 ~2001
542649071108529814310 ~1999
542666651108533330310 ~1999
542694239434155391310 ~2001
542700731108540146310 ~1999
542727719108545543910 ~1999
542741819108548363910 ~1999
Exponent Prime Factor Digits Year
542744837325646902310 ~2000
542752453868403924910 ~2001
542753219108550643910 ~1999
542758763108551752710 ~1999
542773631108554726310 ~1999
542777243108555448710 ~1999
542789543108557908710 ~1999
542798497325679098310 ~2000
542799683108559936710 ~1999
542822047542822047110 ~2001
542825201325695120710 ~2000
542829383108565876710 ~1999
542832911434266328910 ~2001
542837303108567460710 ~1999
542848151108569630310 ~1999
542857793325714675910 ~2000
542861843108572368710 ~1999
542865371108573074310 ~1999
542865971108573194310 ~1999
5428794971302910792911 ~2002
542881967434305573710 ~2001
542890559108578111910 ~1999
542898311108579662310 ~1999
542911253325746751910 ~2000
542911763108582352710 ~1999
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25-07-08