关于丢番图方程x^3-1=203y^2

On the Diophantine equation x^3-1=203y^2

利用同余、平方剩余、递归序列、Pell方程的解的性质,证明了丢番图方程x^3-1=203y^2仅有整数解(x,y)=(1,0).

By using congruence,quadratic residue,recursive sequence,and properties of the solution to Pell equation,it is proved that the Diophantine equation x3-1=203y2 has only integer solution(x,y)=(1,0).