Every problem here was open when it entered the pool.
Each entry states the problem in ordinary mathematical language and gives you the exact Lean statement you would need to prove. Nothing is paraphrased, so what you read is what gets checked.
Green's open problem 66 · Conjectures.io
Number theory
Green's open problem 66
Is there always a sum of two squares between X−101X1/4 and X?
We formalize this as an eventual statement for sufficiently large real X.
0 α bounty·nobody has started
week of 11 Oct 2025 · nothing publishedweek of 18 Oct 2025 · nothing publishedweek of 25 Oct 2025 · nothing publishedweek of 1 Nov 2025 · nothing publishedweek of 8 Nov 2025 · nothing publishedweek of 15 Nov 2025 · nothing published
Solve it
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
11 Oct 2025nothing published against this one yet3 Oct 2026
Ben Green's Open Problem 66
Something wrong with this formalization?
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.
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