On the exponential Diophantine equation \(x^2 + 2^a p^b = y^n\)

DOI10.1007/s10998-014-0073-9zbMath1349.11078OpenAlexW164735675MaRDI QIDQ276448

Gökhan Soydan, Maohua Le, Huilin Zhu, Alain S. Togbé

Publication date: 3 May 2016

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0073-9

zbMATH Keywords

exponential Diophantine equationJacobi symbolLucas numberprimitive divisor

Mathematics Subject Classification ID

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

Related Items (6)

Some exponential Diophantine equations. II: The equation \(x^2 - dy^2=k^z\) for even \(k\) ⋮ Complete solution of the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n}$ ⋮ On the diophantine equation $x^2+2^a3^b73^c=y^n $ ⋮ On the Diophantine equation \(X^{2N}+2^{2\alpha}5^{2\beta}p^{2\gamma}=Z^5\) ⋮ On the Diophantine equation \(x^2+3^a41^b=y^n\) ⋮ The diophantine equation x2 + paqb = yq

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