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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
857314943171462988710 ~2001
857317301685853840910 ~2002
857320393514392235910 ~2002
857338019171467603910 ~2001
8573381471371741035311 ~2003
857349611171469922310 ~2001
857355539171471107910 ~2001
8574187331886321212711 ~2003
857441423171488284710 ~2001
857455211171491042310 ~2001
857458093514474855910 ~2002
8574707111371953137711 ~2003
857495543171499108710 ~2001
857498437514499062310 ~2002
857502911171500582310 ~2001
8575169231372027076911 ~2003
857517299171503459910 ~2001
857518283171503656710 ~2001
857568611171513722310 ~2001
857591051171518210310 ~2001
857596199171519239910 ~2001
857611619171522323910 ~2001
857625551171525110310 ~2001
857626571171525314310 ~2001
857637083171527416710 ~2001
Exponent Prime Factor Digits Year
857640457514584274310 ~2002
857643779171528755910 ~2001
857689523171537904710 ~2001
857725573514635343910 ~2002
857727023171545404710 ~2001
857728499171545699910 ~2001
857746979171549395910 ~2001
857751203171550240710 ~2001
857798939171559787910 ~2001
8578192973259713328711 ~2004
857864219171572843910 ~2001
857879843171575968710 ~2001
857910863171582172710 ~2001
857954099171590819910 ~2001
858021431171604286310 ~2001
858042431171608486310 ~2001
858064433514838659910 ~2002
858075899171615179910 ~2001
858091523171618304710 ~2001
858115463171623092710 ~2001
858143171171628634310 ~2001
858156989686525591310 ~2002
858181321514908792710 ~2002
858218759171643751910 ~2001
858222479171644495910 ~2001
Exponent Prime Factor Digits Year
858239303171647860710 ~2001
858287939171657587910 ~2001
858296951171659390310 ~2001
858297761514978656710 ~2002
858299423171659884710 ~2001
858306851686645480910 ~2002
8583185111544973319911 ~2003
8583272931201658210311 ~2003
858338171171667634310 ~2001
858378863171675772710 ~2001
858407723171681544710 ~2001
858436259171687251910 ~2001
858440357515064214310 ~2002
858447701515068620710 ~2002
858463451171692690310 ~2001
8584812193605621119911 ~2004
858528323171705664710 ~2001
858538259171707651910 ~2001
858561943858561943110 ~2002
858562031171712406310 ~2001
8585774831373723972911 ~2003
858589943171717988710 ~2001
858619691171723938310 ~2001
858627923171725584710 ~2001
858699841515219904710 ~2002
Exponent Prime Factor Digits Year
8587118571202196599911 ~2003
858741899171748379910 ~2001
858756539171751307910 ~2001
858804763858804763110 ~2002
858856177515313706310 ~2002
858861203171772240710 ~2001
8589832074123119393711 ~2004
858996779171799355910 ~2001
859001651171800330310 ~2001
859017373515410423910 ~2002
859042511171808502310 ~2001
859069139687255311310 ~2002
859151603171830320710 ~2001
859156691171831338310 ~2001
859178059859178059110 ~2002
859226243171845248710 ~2001
859240559171848111910 ~2001
859288691171857738310 ~2001
859301843171860368710 ~2001
859302623171860524710 ~2001
859326311171865262310 ~2001
859364171171872834310 ~2001
859366691171873338310 ~2001
859370807687496645710 ~2002
859370951171874190310 ~2001
3465
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25-06-08