On the Diophantine Equation (5n)x+(4m p+1)y=z2

Vipawadee Moonchaisook, Watakarn Moonchaisook and Khattiya Moonchaisook
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Vipawadee Moonchaisook: Department of Mathematics Faculty of Science and Technology, Surindra Rajabhat University, Surin 3200, Thailand.
Watakarn Moonchaisook: Computer Technology, Faculty of Agriculture and Technology, Rajamangala University of Technology Isan, Surin campus, Surin 32000, Thailand.
Khattiya Moonchaisook: Science and Mathematics, Faculty of Agriculture and Technology, Rajamangala University of Technology Isan, Surin campus, Surin 32000, Thailand.

International Journal of Research and Innovation in Applied Science, 2021, vol. 6, issue 7, 55-58

Abstract: In this paper, we proved that the Diophantine equation (5n)x+(4m p+1)y=z2 has no solution in non-negative integers x, y, z where p is an odd prime and m, n is a natural number.

Date: 2021
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