On the Diophantine equation 675^x+896^y=z^2

In this article, we establish that there is a unique non-negative solution to the Diophantine equation 675^x+896^y=z^2. The solution is $(x, y, z)=(1, 0, 26).

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Publication Details

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

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article

On the Diophantine equation 675^x+896^y=z^2

Jenjira Puiwong, Nongluk Viriyapong
International journal of mathematics and computer science
Mathematical Dynamics and Fractals
article

On the Diophantine equation 675^x+896^y=z^2

Jenjira Puiwong, Nongluk Viriyapong
article en

Abstract

In this article, we establish that there is a unique non-negative solution to the Diophantine equation 675^x+896^y=z^2. The solution is $(x, y, z)=(1, 0, 26).

International journal of mathematics and computer science
Mahasarakham University
Openalex Percentile: Top 62%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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On the Diophantine equation 675^x+896^y=z^2 — Jenjira Puiwong, Nongluk Viriyapong · International journal of mathematics and computer science (2024) | TGRS Research Map | TGRS