On the Diophantine equation 143^x+783^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/nongluk
Cited by: 0

Abstract

In this article, we prove that (1,0, 12) and (0,1,28) are the only non-negative integer solutions (x, y, z) to the Diophantine equation 143^x+783^y=z^2.

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
21–23
Publication date
1 January 2026