关于丢番图方程x^3-4~3=Py^2

On the Diophantine Equation x^3-4~3= Py^2

设P为奇素数,运用初等方法得出了丢番图方程x3-43=Py2无正整数解的两个充分条件.

Let P be an odd prime. By primary method, two sufficient conditions are obtained that the Diophantine equation x^3-4^3=Py^2 has no integer solutions.