完全数问题的探讨

Some Results on Perfect Number

介绍了完全数的定义,性质,并讨论了关于完全数的几个命题:是偶完全数的充要条件,奇完全数的存在问题,并通过对奇完全数的讨论得出了奇完全数存在的基本形式和相关结果,从而使判断奇完全数的方法更简单。文章还讨论了由奇完全数引出的几种特殊的数:不足数,过剩数。

This paper introduces the definition and properties of the perfect number at first,and it mainly discusses some propositions about the perfect number,such as the sufficient condition of the even perfect number,the problem about the existence of the odd perfect number,and object the odd perfect numbers＇ basic form,at last,this paper discusses a few special numbers..