PENYELESAIAN PERSAMAAN DIOHPANTINE EKPSONENSIAL (4m2 + 1)x + (5m2 􀀀��� 1)y = (3m)z DENGAN m > 90 DAN 3jm

Abstract

with m > 90 and 3|m. The equation is solved by using some properties of exponential Diophantine equation and some results on primitive divisors of Lucas number. In this study it was found that the equation only has one solution, which is (x; y; z) = (1; 1; 2). This article is a review of article from Su and Li [Abstract and Applied Analysis, 2014 (2014), 1-5].