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.
Combinatorics
Withdrawn
Green's open problem 77
Given n points in the unit disc, must there be a triangle of area at most n−2+o(1)
determined by them?
Withdrawn 5 Aug 2026
SOURCE_MISMATCH + EXPLOITABLE (Erdos507.minTriangleArea infimum ranges over Affine.Triangle = affinely independent only; collinear-heavy configs give α(n) ≳ 1/n, refuting the formalized n^(−2+o(1)) claim by elementary geometry)
References
Ben Green's Open Problem 77
No one has attempted this yet.
Formal statement
Lean type
True ↔ ∃ o, Filter.Tendsto o Filter.atTop (nhds 0) ∧ Erdos507.α =O[Filter.atTop] fun n => ↑n ^ (-2 + o n)
What you must prove
import FormalConjectures.GreensOpenProblems.«77»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Green77.green_77" := 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.