On the Diophantine equation \(px^2+q^{2m}=y^p\)

DOI10.1016/j.jnt.2008.01.005zbMath1165.11033OpenAlexW2008791365MaRDI QIDQ927720

Fadwa S. Abu Muriefah

Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.01.005

zbMATH Keywords

Lucas numbersexponential Diophantine equations

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Algebraic numbers; rings of algebraic integers (11R04) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (4)

On the Diophantine equation \(2^m + nx^2 = y^n\) ⋮ On the Diophantine equation \(nx^2+2^{2m}=y^n\) ⋮ On \(px^{2}+q^{2n}=y^{p}\) and related Diophantine equations ⋮ Unnamed Item

Cites Work

• Lucas and Lehmer numbers without primitive divisor
• Existence of primitive divisors of Lucas and Lehmer numbers
• The Solution of 3y 2 ± 2 n = x 3
• On the Diophantine equation \(Ax^2+2^{2m}=y^n\)
• Unnamed Item
• Unnamed Item
• Unnamed Item

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