Department of Mathematics, College of Science, Guangdong University of Petrochemical Technology, Maoming, 525000, Guangdong, P.R. China
*Email: zhongli559@163.com
Online published on 10 January, 2017.
Let u be an even integer. In this paper we prove that if 4| u and u ≥208, then the equation (u3-3u)x + (3u2-1)y = (u2 +1)z has only the positive integer solution (x, y, z) = (2, 2, 3). This result basically determine all solutions of the equation.
Even integer, Equation, Positive integer solution
