On the Diophantine equation X-2N+2(2 alpha)5(2 beta)p(2 gamma) = Z(5)
Authors: Goedhart, Eva G.; Grundman, Helen G.
Source: PERIODICA MATHEMATICA HUNGARICA, 75 (2):196-200; 10.1007/s10998-017-0185-0 DEC 2017
Publication Type: Journal Article
Abstract: We prove that for each prime p, positive integer a, and non-negative integers beta and gamma, the Diophantine equation X-2N + 2(2 alpha)5(2 beta) p(2 gamma) = Z(5) has no solution with N, X, Z is an element of Z(+), N > 1, and gcd(X, Z) = 1.