Exponential Diophantine Equation 2^a+n^2b=c^2, n=1, 2, 3,...

G. Janaki , A. Gowri Shankari

Catalan’s conjecture, Diophantine equation, integer solution.

In this work, we explore the Exponential Diophantine equation , where a, b, and c are all non-negative integers, and we find that (a, b, c)=(3, 0, 3) is a unique non-negative integer solution to this equation.

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"Exponential Diophantine Equation 2^a+n^2b=c^2, n=1, 2, 3,...", IJSDR - International Journal of Scientific Development and Research (www.IJSDR.org), ISSN:2455-2631, Vol.8, Issue 9, page no.1178 - 1179, September-2023, Available :https://ijsdr.org/papers/IJSDR2309168.pdf

Volume 8 Issue 9, September-2023

Pages : 1178 - 1179

Paper Reg. ID: IJSDR_208708

Published Paper Id: IJSDR2309168

Downloads: 000347075

Research Area: Mathematics

Country: Trichirapalli, Tamil Nadu, India

Published Paper PDF: https://ijsdr.org/papers/IJSDR2309168

Published Paper URL: https://ijsdr.org/viewpaperforall?paper=IJSDR2309168

DOI: https://doi.org/10.5281/zenodo.11240048

ISSN: 2455-2631 | IMPACT FACTOR: 9.15 Calculated By Google Scholar | ESTD YEAR: 2016

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 9.15 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Publisher: IJSDR(IJ Publication) Janvi Wave

This work is licensed under a Creative Commons Attribution 4.0 International License and The Open Definition