关于丢番图方程x^3+1=3139y^2

On the Diophantine Equation x^3+1=3139y^2

利用同余式、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=3139y^2的全部整数解为(-1,0).

By using congruence,quadratic residue,properties of the solution to Pell equation,it is proved that the Diophantine equation x^3+1=3139y^2 has only integer solution(x,y)=(-1,0).