On numbers not of the form \(n-\omega(n)\)
type: Item
instance of: scholarly article
title: On numbers not of the form \(n-\omega(n)\)
zbMATH Open document ID: 1089.11058
published in: Acta Mathematica Hungarica
publication date: 2006-01-26T00:00:00Z
review text: The author proves that there exist infinitely many positive integers \(m\) not of the form \(n-\omega(n)\) for any positive integer \(n\). In this case \(\omega(n)\) is the number of distinct prime factors of \(n\). A similar result holds with \(\omega(n)\) replaced by the total number of prime factors of \(n\) or by the number of divisors of \(n\).
reviewed by: Kálmán Liptai
Mathematics Subject Classification ID: 11N64
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11N25
zbMATH DE Number: 5001799
zbMATH Keywords: divisors
zbMATH Keywords: prime divisors
zbMATH Keywords: number of distinct prime factors
zbMATH Keywords: total number of prime factors
author: Florian Luca
MaRDI profile type: Publication
full work available at URL: s10474-005-0010-8
OpenAlex ID: W2035453717
DOI: 10.1007/S10474-005-0010-8
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description: scientific article; zbMATH DE number 5001799