google-deepmind / google-deepmind/formal-conjectures
Erdős Problem 327
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ams-11: Number theory
erdos-problems
new conjecture
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Description
### What is the conjecture
https://www.erdosproblems.com/327
Suppose $A\subseteq \\{1,\ldots,N\\}$ is such that if $a,b\in A$ and $a\neq b$ then $a+b\nmid ab$. Can $A$ be 'substantially more' than the odd numbers? What if $a,b\in A$ with $a\neq b$ implies $a+b\nmid 2ab$? Must $\lvert A\rvert=o(N)$?
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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