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 536
Let ϵ>0 and N be sufficiently large. Is it true that if A⊆{1,…,N} has
size at least ϵN
True ↔
∀ ε > 0,
∀ᶠ (N : ℕ) in Filter.atTop,
∀ A ⊆ Finset.Icc 1 N,
ε * ↑N ≤ ↑A.card → ∃ a ∈ A, ∃ b ∈ A, ∃ c ∈ A, {a, b, c}.card = 3 ∧ a.lcm b = b.lcm c ∧ b.lcm c = a.lcm c
What you must prove
import FormalConjectures.ErdosProblems.«536»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos536.erdos_536" := by
sorry
end 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.