关于不定方程x^3+1=103y^2

On Diophantine Equation x^3+1=103y^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=103y2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 x^3＋1=103y^2 has only integer solution （x, y） = （-1,0）.