Catalan's conjecture
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. The integers 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 Catalan's conjecture — the only solution in the natural numbers of for a, b > 1, x, y > 0 is x = 3, a = 2, y = 2, b = 3.
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Catalan's conjecture
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. The integers 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 Catalan's conjecture — the only solution in the natural numbers of for a, b > 1, x, y > 0 is x = 3, a = 2, y = 2, b = 3.
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A conjectura de Catalan foi fe ...... penas a uma solução: 32 -23 =1
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Catalan's conjecture (or Mihăi ...... is x = 3, a = 2, y = 2, b = 3.
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Catalanova věta (občas nazývan ...... je x = 3, a = 2, y = 2, b = 3.
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Die catalansche Vermutung ist ...... von Preda Mihăilescu bewiesen.
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En teoria dels nombres, la con ...... t x, y, a i b més grans que 1.
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Het vermoeden van Catalan (nu ...... lijke getallen van met is en .
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In teoria dei numeri, il teore ...... dei campi ciclotomici e dei .
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Inom talteori är Catalans förm ...... är x = 3, a = 2, y = 2, b = 3.
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La conjecture de Catalan est u ...... ques et des modules de Galois.
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La conjetura de Catalan (tambi ...... por en el Seminario Bourbaki.
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Catalan's conjecture
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CatalansConjecture
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A conjectura de Catalan foi fe ...... penas a uma solução: 32 -23 =1
@pt
Catalan's conjecture (or Mihăi ...... is x = 3, a = 2, y = 2, b = 3.
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Catalanova věta (občas nazývan ...... je x = 3, a = 2, y = 2, b = 3.
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Die catalansche Vermutung ist ...... von Preda Mihăilescu bewiesen.
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En teoria dels nombres, la con ...... t x, y, a i b més grans que 1.
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Het vermoeden van Catalan (nu ...... lijke getallen van met is en .
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In teoria dei numeri, il teore ...... ione dell'equazione diofantea:
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Inom talteori är Catalans förm ...... är x = 3, a = 2, y = 2, b = 3.
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La conjecture de Catalan est u ...... st x = 3, a = 2, y = 2, b = 3.
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La conjetura de Catalan (tambi ...... meros naturales de xa − yb = 1
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Catalan's conjecture
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Catalanova věta
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Catalans förmodan
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Catalansche Vermutung
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Conjectura de Catalan
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Conjectura de Catalan
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Conjecture de Catalan
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Conjetura de Catalan
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Teorema di Mihăilescu
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Twierdzenie Mihăilescu
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