google-deepmind / google-deepmind/formal-conjectures
Erdős Problem 792
Open
ams-05: Combinatorics
erdos-problems
new conjecture
- Dominant language
- Lean
- Stars
- 1.3k
- Forks
- 485
- Avg merge
- 1d 20h
- Merged PRs (30d)
- 328
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
Contributor guide
Assessment
This issue has not been assessed yet.