Catalan's Equation Has No New Solution with Either Exponent Less Than 10651

DOI10.1080/10586458.1995.10504327zbMath0857.11012OpenAlexW1980173258MaRDI QIDQ4891321

Yves Roy, Maurice Mignotte

Publication date: 11 March 1997

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047674387

zbMATH Keywords

class numberslinear forms in two logarithmsCatalan's equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (6)

A class number free criterion for Catalan's conjecture. ⋮ Un nouveau critère pour l'équation de Catalan ⋮ Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu) ⋮ On Wieferich and non-Wieferich primes with prime bases ⋮ On the 𝑝-divisibility of Fermat quotients ⋮ Class number bounds and Catalan’s equation

Cites Work

• On Catalan's conjecture
• On the Catalan equation. II
• A criterion on Catalan's equation
• Unnamed Item

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