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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
670006223134001244710 ~2000
670028459134005691910 ~2000
670035491134007098310 ~2000
670099553402059731910 ~2001
670102883134020576710 ~2000
670148123134029624710 ~2000
670148879134029775910 ~2000
670162631134032526310 ~2000
670175711134035142310 ~2000
670192811134038562310 ~2000
670198019536158415310 ~2001
670202363134040472710 ~2000
670204091134040818310 ~2000
670229797402137878310 ~2001
670232219134046443910 ~2000
670246079134049215910 ~2000
670250759536200607310 ~2001
670256963134051392710 ~2000
670277501402166500710 ~2001
670285079134057015910 ~2000
670287851134057570310 ~2000
670308731134061746310 ~2000
670312199134062439910 ~2000
670343819134068763910 ~2000
670349077402209446310 ~2001
Exponent Prime Factor Digits Year
670366283134073256710 ~2000
670369991536295992910 ~2001
670381531670381531110 ~2002
670382939134076587910 ~2000
670415699134083139910 ~2000
670429559134085911910 ~2000
670435943134087188710 ~2000
670452911134090582310 ~2000
6704599978581887961711 ~2004
670499591134099918310 ~2000
670499897536399917710 ~2001
670501751536401400910 ~2001
6705090431072814468911 ~2002
6705391573084480122311 ~2003
670539923134107984710 ~2000
670558919134111783910 ~2000
6705597112816350786311 ~2003
670564199536451359310 ~2001
670564871134112974310 ~2000
670575611134115122310 ~2000
670599131134119826310 ~2000
6706256891609501653711 ~2003
670628891134125778310 ~2000
670632299134126459910 ~2000
6706481291475425883911 ~2002
Exponent Prime Factor Digits Year
670661423134132284710 ~2000
670668599134133719910 ~2000
670668811670668811110 ~2002
670683803134136760710 ~2000
670690019134138003910 ~2000
6706984511207257211911 ~2002
670703963134140792710 ~2000
670707431134141486310 ~2000
670727951134145590310 ~2000
670741763134148352710 ~2000
670753043134150608710 ~2000
670773503134154700710 ~2000
670778159134155631910 ~2000
670788263134157652710 ~2000
670792931134158586310 ~2000
670795523134159104710 ~2000
670813237402487942310 ~2001
670817351134163470310 ~2000
670819283134163856710 ~2000
670855259134171051910 ~2000
670861739134172347910 ~2000
670861931134172386310 ~2000
670882021402529212710 ~2001
670885823134177164710 ~2000
670906319134181263910 ~2000
Exponent Prime Factor Digits Year
670912751134182550310 ~2000
670933079134186615910 ~2000
6709528991207715218311 ~2002
670963019134192603910 ~2000
670986419134197283910 ~2000
670994279134198855910 ~2000
670996399670996399110 ~2002
670998283670998283110 ~2002
670998539134199707910 ~2000
671023943134204788710 ~2000
671027963134205592710 ~2000
671029571134205914310 ~2000
671040899134208179910 ~2000
671055191134211038310 ~2000
671069123134213824710 ~2000
671070437402642262310 ~2001
671086523134217304710 ~2000
671113019536890415310 ~2001
6711227891610694693711 ~2003
671165477402699286310 ~2001
671194571134238914310 ~2000
6711969495235336202311 ~2004
671222003134244400710 ~2000
671222729939711820710 ~2002
671290247537032197710 ~2001
3579
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25-12-14