On the exponential Diophantine equation 37^x-5^y = z^2

In this paper, we show that (0, 0, 0) and (1, 0, 6) are the only two non-negative integer solutions of the exponential Diophantine equation 37^x-5^y = z^2.

Authors

Publication Details

Journal
International journal of mathematics and computer science
Published
2025-01-01
DOI
https://doi.org/10.69793/ijmcs/03.2025/chaiwat
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On the exponential Diophantine equation 37^x-5^y = z^2

Chaiwat Namnak, Hansuk Tansee
International journal of mathematics and computer science
Advanced Mathematical Theories and Applications
article

On the exponential Diophantine equation 37^x-5^y = z^2

Chaiwat Namnak, Hansuk Tansee
article en

Abstract

In this paper, we show that (0, 0, 0) and (1, 0, 6) are the only two non-negative integer solutions of the exponential Diophantine equation 37^x-5^y = z^2.

International journal of mathematics and computer science
Openalex Percentile: Top 92%
Advanced Mathematical Theories and Applications
DOISourceOpenAlex
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On the exponential Diophantine equation 37^x-5^y = z^2 — Chaiwat Namnak, Hansuk Tansee · International journal of mathematics and computer science (2025) | TGRS Research Map | TGRS