| 摘要: |
| 对形如Mn=∏i=1n pi(pi为相异的素数)的无平方因子的正整数是否为优美指数进行探讨,给出Mn是完全优美指数集合的充分条件和n∏i=1n-1 pi(pi≠2,3)是优美指数集合的充分条件,并找到一个几乎非优美指数集合. |
| 关键词: 优美指数 非优美指数 无平方因子 |
| DOI： |
| 投稿时间：2013-04-18修订日期：2013-05-10 |
| 基金项目:四川省应用基础研究项目(2011JYZ032)资助。 |
|
| New Conclusions about the Beauty Index of No-square Divisor |
|
XIE Yan
|
| (Department of Preparatory, Aba Normal College, Wenchuan, Sichuan, 623002, China) |
| Abstract: |
| This paper discussed whether a no-square divisor form as Mn=∏i=1n pi was a beauty index or not.Two sufficient conditions of the beauty index set were given, and an almost non-beauty index set was found. |
| Key words: beauty index non-beauty index no-square divisor |
