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
Erdős problem 972
**Erdős problem 972.**
Let α>1 be irrational. Are there infinitely many primes p
such that ⌊pα⌋ is also prime?
$3,575 bounty·nobody has started
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30 Sept 2025nothing published against this one yet22 Sept 2026
Solve it
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
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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