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有关7m+j型奇正整数不是完全数的一些命题

Some propositions on odd positive numbers of the form 7m+j not being perfect numbers
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摘要 奇完全数存在性问题是数论中的一个著名难题.研究7m+j型奇正整数n=παq2β11…q2βss是否为完全数的问题,其中j=1,2,3,4,5,给出7 m+j型奇正整数n不是完全数的一些命题. The existence of odd perfect numbers is known as difficult problem in number theory.So far,it remains unsolved.In the article,the problem that the odd positive integers n=παq2β11…q2βss of the form 7m+j are perfect number or not was studied,and some propositions were given,where j=1,2,3,4,5.
作者 张四保
机构地区 喀什师范学院数学系
出处 《东北石油大学学报》 CAS 北大核心 2015年第1期118-122,8,共5页 Journal of Northeast Petroleum University
基金 喀什师范学院校内一般课题((14)2513)
关键词 完全数 奇完全数 命题 perfect number odd perfect number proposition
分类号 O156 [理学—基础数学]
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参考文献15

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二级参考文献27

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东北石油大学学报
2015年 第1期

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