On the Diophantine equation \(2^m + nx^2 = y^n\)

DOI10.1016/j.jnt.2012.05.010zbMath1276.11049OpenAlexW2330183021MaRDI QIDQ452393

Gökhan Soydan, Florian Luca

Publication date: 21 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.05.010

zbMATH Keywords

exponential Diophantine equationsprimitive divisors of Lehmer sequences

Mathematics Subject Classification ID

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

Related Items (4)

On the Diophantine equation \(NX^2 + 2^L3^M = Y^N\) ⋮ Unnamed Item ⋮ On the Diophantine equation \(cx^2+p^{2m}=4y^n\) ⋮ Unnamed Item

Uses Software

• Magma

Cites Work

• Unnamed Item
• On the Diophantine equation \(nx^2+2^{2m}=y^n\)
• On the Diophantine equation \(px^2+q^{2m}=y^p\)
• The Magma algebra system. I: The user language
• On the equation \(x^2 + 2^a \cdot 3^b = y^n\)
• Existence of primitive divisors of Lucas and Lehmer numbers
• ON THE DIOPHANTINE EQUATION x² + C = 2yⁿ
• The Solution of 3y 2 ± 2 n = x 3
• On the Diophantine Equation 2 n + px 2 = y p

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