On the Diophantine equation \(NX^2 + 2^L3^M = Y^N\)

DOI10.1016/j.jnt.2014.02.008zbMath1309.11027arXiv1304.6413OpenAlexW1765581411MaRDI QIDQ402643

Eva G. Goedhart, Helen G. Grundman

Publication date: 28 August 2014

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

Full work available at URL: https://arxiv.org/abs/1304.6413

zbMATH Keywords

exponential Diophantine equationsLehmer sequences

Mathematics Subject Classification ID

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

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Cites Work

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• On the Diophantine equation \(2^m + nx^2 = y^n\)
• On the Diophantine equation \(nx^2+2^{2m}=y^n\)
• On the generalized Ramanujan-Nagell equation \(x^2+D=p^z\)
• On the equation \(x^2 + 2^a \cdot 3^b = y^n\)
• Existence of primitive divisors of Lucas and Lehmer numbers
• Primitive Divisors of Lucas and Lehmer Sequences