On the Diophantine equation \(x^2+q^{2k+1}=y^n\)

DOI10.1006/jnth.2001.2750zbMath1037.11021OpenAlexW2046199877MaRDI QIDQ696930

Fadwa S. Abu Muriefah, S. Akhtar Arif

Publication date: 12 September 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2750

zbMATH Keywords

exponential Diophantine equationLucas sequencehigher order Diophantine equationsprimitive divisors

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

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Cites Work

• The diophantine equation \(x^ 2 + 2^ k = y^ n\)
• The diophantine equation \(x^2+3^m=y^n\)
• Existence of primitive divisors of Lucas and Lehmer numbers
• The diophantine equation x² + C = yⁿ
• On an diophantine equation
• Unnamed Item

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