一个未解决的丢番图方程x^3+1=35_y^2

On the diophantine equation x^3+1=35_y^2

利用递归数列,同余式这一新方法证明了不定方程x3+1=35y2,仅有整数解(x ,y)=(-1,0)(19,±14).

In this paper the author has proved that the diophantine equation x 3+1=35y 2 has only integer solution( x,y )=(-1,0)(19,±14).