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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
856618271171323654310 ~2001
856642691171328538310 ~2001
856644631856644631110 ~2002
856709699171341939910 ~2001
856721297514032778310 ~2002
856724051171344810310 ~2001
856737263171347452710 ~2001
85674609725188335251912 ~2006
856755611171351122310 ~2001
856771379685417103310 ~2002
856863191171372638310 ~2001
856896167685516933710 ~2002
8569213331371074132911 ~2003
856940939171388187910 ~2001
856963883171392776710 ~2001
8569821292056757109711 ~2003
857033483171406696710 ~2001
857066333514239799910 ~2002
857144303171428860710 ~2001
857145743171429148710 ~2001
857146757514288054310 ~2002
857174471171434894310 ~2001
857219711171443942310 ~2001
857278739171455747910 ~2001
857283683171456736710 ~2001
Exponent Prime Factor Digits Year
857294843171458968710 ~2001
857297479857297479110 ~2002
857302757685842205710 ~2002
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
Exponent Prime Factor Digits Year
857625551171525110310 ~2001
857626571171525314310 ~2001
857637083171527416710 ~2001
857640457514584274310 ~2002
857643779171528755910 ~2001
857689523171537904710 ~2001
857725573514635343910 ~2002
857727023171545404710 ~2001
857728499171545699910 ~2001
857746979171549395910 ~2001
857751203171550240710 ~2001
857758523171551704710 ~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
Exponent Prime Factor Digits Year
858156989686525591310 ~2002
858181321514908792710 ~2002
858218759171643751910 ~2001
858222479171644495910 ~2001
858239303171647860710 ~2001
858287939171657587910 ~2001
858296951171659390310 ~2001
858297761514978656710 ~2002
858299423171659884710 ~2001
858306851686645480910 ~2002
858312239171662447910 ~2001
8583185111544973319911 ~2003
8583272931201658210311 ~2003
858338171171667634310 ~2001
858378863171675772710 ~2001
858407723171681544710 ~2001
858436259171687251910 ~2001
858440357515064214310 ~2002
858447701515068620710 ~2002
858463451171692690310 ~2001
858474719171694943910 ~2001
8584812193605621119911 ~2004
858528323171705664710 ~2001
858538259171707651910 ~2001
858561943858561943110 ~2002
3692
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25-12-14