关于不定方程x^3-1=103y^2

On the Diophantine Equation x^3-1=103y^2

利用递归数列、同余式、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 authors use recurrent sequence, congruence and some properties of the solu-tions to Pell equation to prove that the Diophantine equation x3 -1 = 103y2 has only integer solution （x, y）= （1, 0）.