摘要
证明了当ｎ，ｘ，ｒ为正整数且ｒ＞３，ｓ为非负整数ｇｅｄ（ｘ，（３２０ｓ＋１６２））＝１，丢番图方程［ｘ＋（３２ｓ＋１６２）ｋ］ｒ＝［ｘ＋（３２０ｓ＋１６２）ｎ］ｒ无整数解。
It was proved that the diophantine equation [x+(320s+162)k]r=[x+(320s + 162)n]r bas no integer solution, where n, x,r be positive integers and r>3s be a nonnegative integer, gcd (x,(320s + 162)=1.
关键词
数
连续方程
方幂和
末位数字
同余式
Number
Equation of continuity
Congruence
Power sum
Last numerals
