Division algorithm congruence were applied

In this paper, we prove the solutions of the exponential Diophantine equation 2x − 3y = z2 where x, y and z are non-negative integers. To find the solution, Catalan ’s conjecture and division algorithm congruence were applied. The result indicates that the equation has three solutions (x, y, z) including (0, 0, 0), (1, 0, 1) and (2, 1, 1).

4p trinhthamhodang9 10-12-2020 11 2   Download