关于一个不定方程的正整数解

Positive Integer Solution of a Diophantine Equation

设p是奇素数,证明了:当p=108 s2+1,其中s是奇数,则方程x 3+1=py2无正整数解(x,y).

Let p be an odd prime,elementary method was used to prove that if p=108s2＋1,where s is an odd number,then equation x 3＋1=py2 has no positive integer solution（x,y）.