Theoretical Friends of Finite Proximity

被引：0

作者：

Jones, Edna ^{[1
]}

Ryan, John ^{[2
]}

机构：

[1] Rose Hulman Inst Technol, 5500 Wabash Ave, Terre Haute, IN 47803 USA

[2] NYU, New York, NY 10012 USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2015年 / 10卷 / 02期

关键词：

Abundancy index; abundancy ratio; friendly number; friendly integer; solitary number; theoretical friend; super solitary number;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using a definition given by Jeffrey Ward [4], we look into which positive integers have a theoretical friend of finite proximity (TFOFP). We show that 1 and odd primes do not have TFOFPs. We show that prime powers satisfying some conditions have TFOFPs. Furthermore, we prove that certain integers have a TFOFP if and only if they have a friend.

引用

页码：205 / 226

页数：22

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