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具有三个相异素因数的调和数(英文)
The Harmonic Numbers with Three Distinct Prime Factors
【摘要】 如果一个正整数n的因数的倒数之和是一个正整数,我们称这个正整数n是一个调和数。该文证明了,如果 n是一个具有三个相异素因子的调和数,则 h=120或 672。
【Abstract】 A positive integer n is called a harmonic number if the reciprocal sum of its divisors is an integer. In this paper we have proved that if n is a harmonic number with three distinct prime factors, then n = 120 or 672.
【基金】 This program is supported by:National Natural Science Foundation of China(No.10271104),Guangdong Provincial Natural Science Foundation(No.011781)and Maoming College Natural Science Foundation.
- 【文献出处】 茂名学院学报 ,Journal of Guandong College Petrochemical Technology , 编辑部邮箱 ,2003年04期
- 【分类号】O156
- 【下载频次】32