关于丢番图方程x^3±32768=Dy^2

On the Diophantine Equation x^3±32768=Dy^2

用初等方法研究了丢番图方程x3 ± 32 76 8=Dy2 ,求出了该方程的非平凡整数解 ,并给出了无非平凡整数解的充分性条件 .

We studied the Diophantine equation x 3±32 768=Dy 2 by the elementary method,and gave several nontrivial integer solutions and some sufficient conditions on which this equation has not nontrivial integer solution.