On the Diophantine Equation 3x + p5y = z2
On the Diophantine Equation 3x + p5y = z2
K. Laipaporn,Saeree Wananiyakul,P. Khachorncharoenkul
2019 · DOI: 10.14456/VOL16ISS9PPCORRECTED
Walailak Journal of Science and Technology · 5 Citations
Abstract
In this paper, we present new series of solutions of the Diophantine equation 3x + p5y = z2 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.