SOLUSI PERSAMAAN DIOPHANTINE NONLINEAR (8n)x +py = z2 UNTUK p SEBARANG BILANGAN PRIMA GANJIL DAN BILANGAN ASLI n ≥ 1
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Date
2022-07
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Elfitra
Abstract
This article discusses the nonnegative integer solution of nonlinear Diophantine
equation (8n)x + py = z2 subject to some odd prime number p for n = 1 and n ≥ 2,
which is solved by Catalan conjecture, exponential property, and congruency. This
property aims to determine the value (nx, y, z). Analytically different solutions are
obtained based on the values of n and p taken in the nonlinear Diophantine equation.
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Keywords
Nonlinear Diophantine equation, Mersenne prime number, Catalan conjecture, exponential property, congruency
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