Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-27T21:32:09.681Z Has data issue: false hasContentIssue false
  • English
  • Français

The equation ω(n) = ω(n + 1)

Part of: Multiplicative number theory

Published online by Cambridge University Press:  26 February 2010

J.-C. Schlage-Puchta
J.-C. Schlage-Puchta
Affiliation:
Albert-Ludwigs-Universität Freiburg, Mathematisches Institut, Eckerstr. 1. 79111 Freiburg, Germany.
Get access

Abstract

It is proved that there are infinitely many integers n such that n and n + 1 have the same number of distinct prime divisors.

MSC classification

Secondary: 11N37: Asymptotic results on arithmetic functions
Type
Research Article
Information
Mathematika , Volume 50 , Issue 1-2 , December 2003 , pp. 99 - 101
Copyright
Copyright © University College London 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Heath-Brown, D. R.. Almost-prime k-tuples, Mathematika 44 (1997), 245–266.CrossRefGoogle Scholar
2.Heath-Brown, D. R.. The divisor function at consecutive integers, Mathematika 31 (1984), 141–149.CrossRefGoogle Scholar