General Solution of the Diophantine Equation M^x p + (M q + 1)^y= (lz)^2

Please use this identifier to cite or link to this item: http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/7072

Title:	General Solution of the Diophantine Equation M^x p + (M q + 1)^y= (lz)^2
Authors:	Ghosh, Arkabrata
Keywords:	Diophantine equation Diophantine equation Integer solution
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, I study and solve the exponential Diophantine equation M^x p + (M q + 1)^y= (lz)^2 where M p and M q are Mersenne primes, l is a prime number, and x, y and z are non-negative integers. Several illustrations are presented as well as cases where no solution of the given Diophantine equation is present.
Description:	PP: 49-54
URI:	http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/7072
ISSN:	2350-0352
Appears in Collections:	Journal of Physical Sciences, Vol. 28 (2023)

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