方程x3-1＝py2有正整数解的判别条件

摘要

Let p be an odd prime with p≡1(mod6) .Using properties of quadratic Diophantine equations , some new criterions for the equation x3 -1= p y2 has positive integer solutions (x ,y) are given .%设 p是适合p ≡1（mod6）的奇素数。根据二次Diophantine方程的性质，给出了方程x3-1＝ py2有正整数解（x ，y）的新的判别条件。