摘要
设n是大于 1的正整数 ,如果d是n的约数且满足 (d ,n/d) =1,则称d为n的酉约数 .如果n的所有酉约数之和等于 2n ,则称n为酉完全数 .如果n的每个素因数 p ,都有 p2 |n ,则称n是一个幂数 .本文证明了任何酉完全数都不是幂数 .
Let n be a positive integer larger than 1,if d is ns divisor satisfying (d,n/d)=1,then d is called ns unitary divisor.If the sum of all ns unitary divisor is 2n,then n is called unitary perfect number.If p 2｜n for each ns prime divisor p,we call n a power of number.In this paper,we prove that each unitary perfect number is not a power of number.
