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replaced http://front.math.ucdavis.edu/ with https://arxiv.org/abs/

edited Jun 22, 2022 at 7:16

Assume that $A\subset\mathbb{N}$ contains no 3-term arithmetic progression. It was conjectured by Erdős and Turán that $\sum_{a\in A}\frac{1}{a}$ converges. As far as I know this is open, although we are getting closer to a proof, see Sanders' paper.

answered May 25, 2011 at 17:55

GH from MO

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