google-deepmind / google-deepmind/formal-conjectures

Green's Open Problems #10

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ams-11: Number theory green-problems new conjecture
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Description

### What is the conjecture
https://people.maths.ox.ac.uk/greenbj/papers/open-problems.pdf#problem.10

Let $S \subset \mathbb{N}$ be random. Under what conditions is Roth’s theorem for progressions of length 3 true with common differences in $S$?

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

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