On Jacobsthal's \(g(n)\)-function
type: Item
instance of: scholarly article
title: On Jacobsthal's \(g(n)\)-function
zbMATH Open document ID: 0323.10035
DOI: 10.1007/BF01391221
author: Harlan R. Stevens
published in: Mathematische Annalen
publication date: 1977-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/162943
review text: The arithmetic function \(g(n)\) of Jacobsthal is defined as the least positive integer such that every sequence of \(g(n)\) consecutive integers contains at least one member which is prime to \(n\). It is proved for all \(k\geq 1\) that \[ g(n)\leq 2k^{2+2e\log k}, \] where \(k\) is the number of distinct primes dividing \(n\).
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11N56
zbMATH DE Number: 3505095
MaRDI profile type: Publication
cites work: Q3275022
cites work: Über eine zahlentheoretische Funktion von Jacobsthal
OpenAlex ID: W2000747679
description: scientific article; zbMATH DE number 3505095