google-deepmind / google-deepmind/formal-conjectures
Green's Open Problems #11
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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.11
(Mostly solved) Find reasonable bounds for the maximal density of a set $A \subset \\{1, ..., N \\}$ not containing:
(i) A 3-term progression with common difference a square minus one;
(ii) A 3-term progression with common difference a prime minus one.
### 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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