On the Diophantine equation 63^x+323^y=z^2

In this article, we prove that (1, 0, 8) and (0, 1, 18) are the only solutions for the Diophantine equation 63^x+323^y=z^2 where x, y and z are non-negative integers.

Authors

Publication Details

Journal
International journal of mathematics and computer science
Published
2024-12-12
DOI
https://doi.org/10.69793/ijmcs/01.2025/chokchai
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

On the Diophantine equation 63^x+323^y=z^2

Jenjira Puiwong, Chokchai Viriyapong
International journal of mathematics and computer science
Advanced Mathematical Theories and Applications
article

On the Diophantine equation 63^x+323^y=z^2

Jenjira Puiwong, Chokchai Viriyapong
article en

Abstract

In this article, we prove that (1, 0, 8) and (0, 1, 18) are the only solutions for the Diophantine equation 63^x+323^y=z^2 where x, y and z are non-negative integers.

International journal of mathematics and computer science
Mahasarakham University
Openalex Percentile: Top 78%
Advanced Mathematical Theories and Applications
DOIOpen Access PDFOpenAlex
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On the Diophantine equation 63^x+323^y=z^2 — Jenjira Puiwong, Chokchai Viriyapong · International journal of mathematics and computer science (2024) | TGRS Research Map | TGRS