Non-existence of solutions of the Diophantine equation 145^x+147^y=z^2.

International journal of mathematics and computer science 2026 Open access

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Authors: Chokchai Viriyapong, Nongluk Viriyapong
DOI: 10.69793/ijmcs/01.2026/viriyapong
Cited by: 0

Abstract

The aim of this paper is to show that the Diophantine equation 145^x+147^y=z^2 has no non-negative integer solutions x, y and z.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Analytic Number Theory Research Advanced Differential Equations and Dynamical Systems

Publication details

Journal / source
International journal of mathematics and computer science
Pages
29–31
Publication date
1 January 2026