Variants of the Brocard-Ramanujan equation

DOI10.5802/JTNB.631zbMath1171.11020OpenAlexW2314481635MaRDI QIDQ1011959

Florian Luca, Omar Kihel

Publication date: 14 April 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10840

zbMATH Keywords

ABC conjectureBrocard-Ramanujan problemDiophantine equation involving factorials

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Representation problems (11D85)

Related Items (3)

Variations on the Brocard-Ramanujan equation ⋮ Variants of the Diophantine equation \(n! + 1 = y^2\) ⋮ SOME OBSERVATIONS ON THE DIOPHANTINE EQUATION y²=x!+A AND RELATED RESULTS

Cites Work

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• On the equation \(P(x)=n!\) and a question of Erdős
• On the Brocard-Ramanujan Diophantine equation \(n! + 1 = m^2\)
• The large sieve
• The Diophantine Equation n ! + 1 = m²
• The next to last case of a factorial diophantine equation
• On polynomial-factorial diophantine equations

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