关于丢番图方程x^3+1=749y^2

On the Diophantine Equation x^3+1=749y^2

应用递归数列、同余方程、勒让德符号等方法,证明了丢番图方程x^3+1=749y^2无正整数解.

In this paper,we prove that the Diophantine equation x^3+1=749 y^2 only has integer solutions(x,y)=(-1,0).