The equation $ω(n)=ω(n+1)$

Details The equation $ω(n)=ω(n+1)$ The equation $ω(n)=ω(n+1)$

2011-05-09

arxiv.org/abs/1105.1621v1

Mathematika 50 (2003), no. 1-2, 99--101 (2005)

Mathematics

Number Theory

The result is no obsolete: Buttkewitz found a non-computational proof, and the Goldston-Pintz-Yildirim-sieve yields more preci

Scientific paper

10.1112/S0025579300014820

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

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