丢番图方程（x＋d_3k）~r＝（x＋d_3n）~r

THE DIOPHANTINE EQUATION (x+d_3k)￣r=(x+d_3n)￣r

本文证明了：当ｎ，ｘ，ｒ为正整数且ｒ＞３，ｓ为非负整数，ｄｓ＝４０ｓ＋１３，ｇｃｄ（ｘ，ｄ３）＝１。

The following results have been pruved; ing this paper: let n,x,r be positive integer with r> 3, s be nohnegative integer, d3=40s+13,, gcd(x,d3)=1, the equation has no integer solution.