关于丢番图方程x^3+1=215y^2

On Diophantine equaion x^3+1=215y^2

利用递归数列、同余式、平方剩余以及Pell方程解的性质证明了不定方程x3+1=215y2仅有整数解(x,y)=(-1,0).

In this paper, the author uses recurrent sequence, congruence and some properties of the solutions to Pell equation to prove that the Diophantine equation x3 ＋ 1 = 215y2 has only integer solution （x,y） = （ - 1,0）.