COMPOSITE POSITIVE INTEGERS WHOSE SUM OF PRIME FACTORS IS PRIME

被引：1

作者：

Luca, Florian ^{[1
,2
,3
,4
]}

Moodley, Damon ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Math, 1 Jan Smuts Ave, ZA-2000 Johannesburg, South Africa

[2] King Abdulaziz Univ, Res Grp Algebra Struct & Applicat, Jeddah, Saudi Arabia

[3] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

[4] Univ Ostrava, Dept Math, 30 Dubna 22, CZ-70103 Ostrava 1, Czech Republic

来源：

ARCHIVUM MATHEMATICUM | 2020年 / 56卷 / 01期

关键词：

primes; applications of sieve methods;

D O I：

10.5817/AM2020-1-49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we show that the counting function of the number of composite positive integers n <= x such that beta(n) = Sigma(p/n)p is a prime is of order of magnitude at least x/(log x)(3) and at most x/ log x.

引用

页码：49 / 64

页数：16

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