On the Exponential Diophantine Equation 27^x – 11^y = z^2

Please use this identifier to cite or link to this item: http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/7077

Title:	On the Exponential Diophantine Equation 27^x – 11^y = z^2
Authors:	Gope, Rathindra Chandra
Keywords:	Diophantine equation Factoring method Modular arithmetic method Integer Solution Catalan’s Conjecture Non-linear Equation
Issue Date:	30-Dec-2023
Publisher:	Registrar, Vidyasagar University on behalf of Vidyasagar University Publication Division, Midnapore, West Bengal, India, 721 101
Series/Report no.:	Vol. 28;
Abstract:	In this article, we study and establish the theorem of the exponential Diophantine equation 27^x -11^y = z^2 , which has exactly two solutions where x, y and z are non-negative integers using Catalan’s conjecture, modular arithmetic, factorial method and elementary mathematical concepts.
Description:	PP:11-15
URI:	http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/7077
ISSN:	2350-0352
Appears in Collections:	Journal of Physical Sciences, Vol. 28 (2023)

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