标题:
具有四个素因子的奇亏完全数On Odd Deficient-Perfect Numbers with Four Distinct Prime Divisors
作者:
崔兰, 张聪, 李颖
关键字:
亏完全数, 因子和函数, 素因子, 阶Deficient-Perfect Numbers, The Sum of the Positive Divisors, Prime Factors, Order
期刊名称:
《Pure Mathematics》, Vol.6 No.5, 2016-09-20
摘要:
设n为自然数，σ(n)表示n的所有正因子和函数。令d是n的真因子，若n满足σ(n)=2n-d ，则称n为亏因子为d的亏完全数。在参考文献的基础上，本文讨论了具有四个素因子的奇亏完全数的一些性质，证明了 为具有四个不同素因子的奇亏完全数，则有p1 = 3, p2 ≤ 13。
For a positive integer n, let σ(n) denote the sum of the positive divisors of n. Let d be a proper divisor of n, we call n a deficient-perfect number ifσ(n)=2n-d . On the basis of the references, we characterize some properties of odd deficient-perfect numbers with four distinct prime divisors. We prove that if is an odd deficient-perfect number, then p1 = 3, p2 ≤ 13, and improve the result of the references.