On the Diophantine equation $(5pn^{2}-1)^{x}+(p(p-5)n^{2}+1)^{y}=(pn)^{z}$

DOI10.5831/HMJ.2020.42.1.139zbMath1478.11047arXiv2002.11366MaRDI QIDQ5125005

Elif Kizildere, Gökhan Soydan

Publication date: 30 September 2020

Full work available at URL: https://arxiv.org/abs/2002.11366

zbMATH Keywords

exponential Diophantine equationJacobi symbolBaker's method

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Related Items (2)

A parametric family of ternary purely exponential Diophantine equation $A^x+B^y=C^z$ ⋮ A note on the exponential Diophantine equation \((rlm^2-1)^x+(r(r-l)m^2+1)^y=(rm)^z\)

Uses Software

• Magma

Cites Work

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