2007Journal of The Northwest Normal UniversityRequires access

On a divisibility relation of two arithmetic functions

Zhongxian Huang

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Abstract

There are no integers n with ω(n)=3,2n,n≠2~αpq(α∈N) such that σ(n)=kφ(n),where k≤4 and k∈N,p,q are distinct odd primes.

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What this paper is about

There are no integers n with ω(n)=3,2n,n≠2~αpq(α∈N) such that σ(n)=kφ(n),where k≤4 and k∈N,p,q are distinct odd primes.

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Available abstract

There are no integers n with ω(n)=3,2n,n≠2~αpq(α∈N) such that σ(n)=kφ(n),where k≤4 and k∈N,p,q are distinct odd primes.

Key concepts: Divisibility rule, Arithmetic, Relation (database), Mathematics, Mental arithmetic, Pure mathematics, Computer science, Database

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