On the Exponential Diophantine Equation 23x – 19y = z2

Please use this identifier to cite or link to this item: https://ir.vidyasagar.ac.in/jspui/handle/123456789/6863

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DC Field	Value	Language
dc.contributor.author	Rao, Chikkavarapu Gnanendra	-
dc.date.accessioned	2023-07-12T17:35:58Z	-
dc.date.available	2023-07-12T17:35:58Z	-
dc.date.issued	2022-12-30	-
dc.identifier.issn	2350-0352	-
dc.identifier.uri	https://ir.vidyasagar.ac.in/handle/123456789/6863	-
dc.description	PP:1-4	en_US
dc.description.abstract	This article attempts to solve the exponential Diophantine equation 23x − 19y =z2 where x, y and z are non-negative integers using Catalan’s conjecture, factorisation methods, modular arithmetic, and elementary mathematical concepts. This equation has exactly two solutions (x,y,z) = (0,0,0), ( 1,1,2).	en_US
dc.language.iso	en	en_US
dc.publisher	Registrar, Vidyasagar University on behalf of Vidyasagar University Publication Division, Midnapore, West Bengal, India, 721102	en_US
dc.relation.ispartofseries	Volume-27;	-
dc.subject	Exponential Diophantine equation	en_US
dc.subject	Integer Solution	en_US
dc.subject	Catalan’s Conjecture	en_US
dc.subject	Non-linear equation	en_US
dc.subject	Modular arithmetic	en_US
dc.title	On the Exponential Diophantine Equation 23x – 19y = z2	en_US
dc.type	Article	en_US
Appears in Collections:	Journal of Physical Sciences, Vol. 27 (2022)

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