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- Catalan's_conjecture abstract "Catalan's conjecture (or Mihăilescu's theorem) is a theorem in number theory that was conjectured by the mathematician Eugène Charles Catalan in 1844 and proven in 2002 by Preda Mihăilescu.23 and 32 are two powers of natural numbers, whose values 8 and 9 respectively are consecutive. The theorem states that this is the only case of two consecutive powers. That is to say, that the only solution in the natural numbers ofxa − yb = 1for x, a, y, b > 1 is x = 3, a = 2, y = 2, b = 3.".
- Catalan's_conjecture wikiPageExternalLink S0273-0979-03-00993-5.pdf.
- Catalan's_conjecture wikiPageExternalLink mathtrek_06_24_02.html.
- Catalan's_conjecture wikiPageExternalLink Catalan.pdf.
- Catalan's_conjecture wikiPageExternalLink crll.2004.048.
- Catalan's_conjecture wikiPageID "62382".
- Catalan's_conjecture wikiPageRevisionID "600360782".
- Catalan's_conjecture hasPhotoCollection Catalan's_conjecture.
- Catalan's_conjecture title "Catalan's conjecture".
- Catalan's_conjecture urlname "CatalansConjecture".
- Catalan's_conjecture subject Category:Conjectures.
- Catalan's_conjecture subject Category:Diophantine_equations.
- Catalan's_conjecture subject Category:Theorems_in_number_theory.
- Catalan's_conjecture type Abstraction100002137.
- Catalan's_conjecture type Cognition100023271.
- Catalan's_conjecture type Communication100033020.
- Catalan's_conjecture type Concept105835747.
- Catalan's_conjecture type Conjectures.
- Catalan's_conjecture type Content105809192.
- Catalan's_conjecture type DiophantineEquations.
- Catalan's_conjecture type Equation106669864.
- Catalan's_conjecture type Hypothesis105888929.
- Catalan's_conjecture type Idea105833840.
- Catalan's_conjecture type MathematicalStatement106732169.
- Catalan's_conjecture type Message106598915.
- Catalan's_conjecture type Proposition106750804.
- Catalan's_conjecture type PsychologicalFeature100023100.
- Catalan's_conjecture type Speculation105891783.
- Catalan's_conjecture type Statement106722453.
- Catalan's_conjecture type Theorem106752293.
- Catalan's_conjecture type TheoremsInNumberTheory.
- Catalan's_conjecture comment "Catalan's conjecture (or Mihăilescu's theorem) is a theorem in number theory that was conjectured by the mathematician Eugène Charles Catalan in 1844 and proven in 2002 by Preda Mihăilescu.23 and 32 are two powers of natural numbers, whose values 8 and 9 respectively are consecutive. The theorem states that this is the only case of two consecutive powers. That is to say, that the only solution in the natural numbers ofxa − yb = 1for x, a, y, b > 1 is x = 3, a = 2, y = 2, b = 3.".
- Catalan's_conjecture label "Catalan's conjecture".
- Catalan's_conjecture label "Catalansche Vermutung".
- Catalan's_conjecture label "Conjetura de Catalan".
- Catalan's_conjecture label "Teorema di Mihăilescu".
- Catalan's_conjecture label "Théorème de Catalan".
- Catalan's_conjecture label "Twierdzenie Mihăilescu".
- Catalan's_conjecture label "Vermoeden van Catalan".
- Catalan's_conjecture label "Гипотеза Каталана".
- Catalan's_conjecture label "حدسية كاتالان".
- Catalan's_conjecture label "カタラン予想".
- Catalan's_conjecture label "卡塔蘭猜想".
- Catalan's_conjecture sameAs Catalanova_věta.
- Catalan's_conjecture sameAs Catalansche_Vermutung.
- Catalan's_conjecture sameAs Conjetura_de_Catalan.
- Catalan's_conjecture sameAs Théorème_de_Catalan.
- Catalan's_conjecture sameAs Teorema_di_Mihăilescu.
- Catalan's_conjecture sameAs カタラン予想.
- Catalan's_conjecture sameAs 미허일레스쿠_정리.
- Catalan's_conjecture sameAs Vermoeden_van_Catalan.
- Catalan's_conjecture sameAs Twierdzenie_Mihăilescu.
- Catalan's_conjecture sameAs m.0gvvl.
- Catalan's_conjecture sameAs Q174955.
- Catalan's_conjecture sameAs Q174955.
- Catalan's_conjecture sameAs Catalan's_conjecture.
- Catalan's_conjecture wasDerivedFrom Catalan's_conjecture?oldid=600360782.
- Catalan's_conjecture isPrimaryTopicOf Catalan's_conjecture.