An exponential Diophantine equation x2 + 3a 73b = yn

This paper aims to identify all solutions in positive integers x and y (where x, y ≥ 1), with nonnegative exponents a and b, and an integer n ≥ 3, that satisfy the Diophantine equation x2 + 3a 73b = yn under the condition x and y are coprime.

Authors

Publication Details

Journal
Journal of Discrete Mathematical Sciences and Cryptography
Published
2025-01-01
DOI
https://doi.org/10.47974/jdmsc-2225
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

An exponential Diophantine equation x2 + 3a 73b = yn

S. Muthuvel, R. Venkatraman
Journal of Discrete Mathematical Sciences and Cryptography
Advanced Mathematical Theories and Applications
article

An exponential Diophantine equation x2 + 3a 73b = yn

S. Muthuvel, R. Venkatraman
article en

Abstract

This paper aims to identify all solutions in positive integers x and y (where x, y ≥ 1), with nonnegative exponents a and b, and an integer n ≥ 3, that satisfy the Diophantine equation x2 + 3a 73b = yn under the condition x and y are coprime.

Journal of Discrete Mathematical Sciences and CryptographyVol. 28(6)
Openalex Percentile: Top 80%
Advanced Mathematical Theories and Applications
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An exponential Diophantine equation x2 + 3a 73b = yn — S. Muthuvel, R. Venkatraman · Journal of Discrete Mathematical Sciences and Cryptography (2025) | TGRS Research Map | TGRS