摘要
证明了当ｎ，ｘ，ｒ为正整数且ｒ＞３，ｓ为非负整数，（Ⅰ）ｒ为奇数，ｄ２＝４０ｓ＋２，２２．（Ⅱ）ｒ为偶数，ｄ２＝４０ｓ＋１２，ｄ２＝８０ｓ＋２２，４２ｇｃｄ（ｘ，ｄ２）＝１。
The results have been proved as follows:let n,x,r be positive integer with r >3,5 be nonnegative integer (Ⅰ) if r is odd, d 2=40s+2, 22 (Ⅱ) if r is even, d 2=40s+12,d 2=80s+22,42, gcd (x,d 2 )=1,the equation ∑n-1k=0(x+d 2k) r=(x+d 2n) r has no integer solution.
出处
《西南民族学院学报（自然科学版）》
1996年第3期261-265,共5页
Journal of Southwest Nationalities College(Natural Science Edition)
关键词
连续数方程
方幂和
同余式
丢番图方程
diophantine equation in contindous number,last numerals,power sum,congruence
