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- Goormaghtigh_conjecture abstract "In mathematics, the Goormaghtigh conjecture is a conjecture in number theory named for the Belgian mathematician René Goormaghtigh. The conjecture is that the only non-trivial integer solutions of the exponential Diophantine equationsatisfying x > y > 1 and n, m > 2 are (x, y, m, n) = (5, 2, 3, 5); and (x, y, m, n) = (90, 2, 3, 13).This may be expressed as saying that 31 and 8191 are the only two numbers that are repunits with at least 3 digits in two different bases.Balasubramanian and Shorey proved in 1980 that there are only finitely many possible solutions to the equations in (x,y,m,n) with prime divisors of x and y lying in a given finite set and that they may be effectively computed.".
- Goormaghtigh_conjecture wikiPageExternalLink aa8345.pdf.
- Goormaghtigh_conjecture wikiPageID "11327223".
- Goormaghtigh_conjecture wikiPageRevisionID "582320634".
- Goormaghtigh_conjecture hasPhotoCollection Goormaghtigh_conjecture.
- Goormaghtigh_conjecture subject Category:Conjectures.
- Goormaghtigh_conjecture subject Category:Number_theory.
- Goormaghtigh_conjecture type Abstraction100002137.
- Goormaghtigh_conjecture type Cognition100023271.
- Goormaghtigh_conjecture type Concept105835747.
- Goormaghtigh_conjecture type Conjectures.
- Goormaghtigh_conjecture type Content105809192.
- Goormaghtigh_conjecture type Hypothesis105888929.
- Goormaghtigh_conjecture type Idea105833840.
- Goormaghtigh_conjecture type PsychologicalFeature100023100.
- Goormaghtigh_conjecture type Speculation105891783.
- Goormaghtigh_conjecture comment "In mathematics, the Goormaghtigh conjecture is a conjecture in number theory named for the Belgian mathematician René Goormaghtigh.".
- Goormaghtigh_conjecture label "Conjecture de Goormaghtigh".
- Goormaghtigh_conjecture label "Goormaghtigh conjecture".
- Goormaghtigh_conjecture sameAs Conjecture_de_Goormaghtigh.
- Goormaghtigh_conjecture sameAs m.02r7w33.
- Goormaghtigh_conjecture sameAs Q593203.
- Goormaghtigh_conjecture sameAs Q593203.
- Goormaghtigh_conjecture sameAs Goormaghtigh_conjecture.
- Goormaghtigh_conjecture wasDerivedFrom Goormaghtigh_conjecture?oldid=582320634.
- Goormaghtigh_conjecture isPrimaryTopicOf Goormaghtigh_conjecture.