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.
Number theory
Primes And Perfect Squares - infinite prime sq add one
Are there infinitely many primes p such that p−1 is a perfect square? In other words: Are there infinitely many primes of the form n2+1?
$2,735 bountynobody has started
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week of 29 Sept 2025 · nothing publishedweek of 6 Oct 2025 · nothing publishedweek of 13 Oct 2025 · nothing publishedweek of 20 Oct 2025 · nothing publishedweek of 27 Oct 2025 · nothing publishedweek of 3 Nov 2025 · nothing published
Solve it
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
29 Sept 2025nothing published against this one yet21 Sept 2026
Wikipedia
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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