Integral solutions of an Exponential Diophantine Equation 25x+24y=z2

C. Saranya¹ , G. Yashvandhini²

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.4 , pp.50-52, Aug-2022

Online published on Aug 31, 2022

Copyright © C. Saranya, G. Yashvandhini . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
An exponential Diophantine equation is an equation in which the exponents are integers. Numerous exponential Diophantine equations are solved by Catalan conjecture. In this paper, we search for non-negative integer solutions to the exponential Diophantine equation 25x+24y = z2 using Catalan Conjecture. Also, we discussed three theorems and a corollary with their integer solutions.

Key-Words / Index Term :
Catalan conjecture, Exponential Diophantine equation, Integer solutions, Diophantine Equations.

References :
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