关于Diophantine方程x^3+1=114y^2

On the Diophantine equation x^3+1=114y^2

利用递归数列、同余及Pell方程解的性质证明了丢番图方程x 3+1=114y2仅有整数解(-1,0).

By using of the recurrent sequence,congruence and some properties of the solutions to Pell equation,obtained the conclusion that the Diophantine equation x3＋1=114y2 has only integer solution（x,y）=（-1,0）.