关于丢番图方程x^(3)-1=1261y^(2)

On the Diophantine Equation x^(3)-1=1261y^(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=1261y^(2)仅有整数解(x,y)=(1,0).

By using congruence,quadratic residue,properties of the solution to Pell equation,it is proved that the Diophantine equation x^(3)-1=1261y^(2) has only integer solution(x,y)=(1,0).