Key points are not available for this paper at this time.
In this paper, we consider the non-linear Diophantine equations 61 x + 67 y = z 2 and 67 x + 73 y = z 2 , where x, y and z are non-negative integers. It has been shown that these non-linear Diophantine equations have no solution.
Kumar et al. (Sun,) studied this question.