google-deepmind / google-deepmind/formal-conjectures
Erdős Problem 531
Open
ams-05: Combinatorics
ams-11: Number theory
erdos-problems
new conjecture
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Description
### What is the conjecture
https://www.erdosproblems.com/531
Let $F(k)$ be the minimal $N$ such that if we two-colour $\\{1,\ldots,N\\}$ there is a set $A$ of size $k$ such that all subset sums $\sum_{a\in S}a$ (for $\emptyset\neq S\subseteq A$) are monochromatic. Estimate $F(k)$.
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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