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arXiv:1105.1621 [math.NT]AbstractReferencesReviewsResources

The equation $ω(n)=ω(n+1)$

Jan-Christoph Schlage-Puchta

Published 2011-05-09Version 1

We prove that there are infinitely many integers $n$ such that $n$ and $n+1$ have the same number of distinct prime divisors.

Comments: The result is no obsolete: Buttkewitz found a non-computational proof, and the Goldston-Pintz-Yildirim-sieve yields more precise information
Journal: Mathematika 50 (2003), no. 1-2, 99--101 (2005)
Categories: math.NT
Subjects: 11N37
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