Integral Points on the Cone x2 + 25y2 =17z2

Dr. P. Jayakumar, S. Prabha

Abstract: The ternary quadratic homogeneous equation representing cone given by x2 + 25y2 = 17z2 is analyzed for its non zero distinct integer points on it. Five different patterns of integer points satisfying the cone under consideration are obtained. A few interesting relation between the solutions and special number patterns are presented.

Keywords: Ternary Quadratic, homogenous cone, integer solutions