google-deepmind / google-deepmind/formal-conjectures

Erdős Problem 792

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ams-05: Combinatorics erdos-problems new conjecture
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Description

### What is the conjecture

https://www.erdosproblems.com/792

Let $f(n)$ be maximal such that in any $A\subset \mathbb{Z}$ with $\lvert A\rvert=n$ there exists some sum-free subset $B\subseteq A$ with $\lvert B\rvert \geq f(n)$, so that there are no solutions to
$$a+b=c$$
with $a,b,c\in B$. Estimate $f(n)$.

Status: open

### Choose either option
- [ ] I plan on working on this conjecture
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else

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