Walailak Journal of Science and Technology, Volume 16, Issue 9, Pages 647-653 , 01/09/2019
On the diophantine equation 3x+ p5y= z2
Abstract
In this paper, we present new series of solutions of the Diophantine equation 3<sup>x</sup>+ p5<sup>y</sup>= z<sup>2</sup>where p is a prime number and x; y and z are nonnegative integers using elementary techniques. Moreover, the equation has no solution if p is equivalent to 5 or 7 modulo 24.
Document Type
Article
Source Type
Journal
Keywords
Catalan’s conjectureExponential Diophantine equation
ASJC Subject Area
Multidisciplinary : Multidisciplinary
Funding Agency
Walailak University