Green's Open Problem 24

formal-conjectures · greens-open-problems · ams-5 · ams-11

Conjecture p.579 in [Aa19]: $\left(\frac{1}{3} + o(1)\right) n^2$.

Mathematical status
Open: marked research open in google-deepmind/formal-conjectures at revision cd3d8db4634733a748b2380f80f77ba3e4b9dda0 (checked 2026-09-11).

Formal availability
A Prop definition is supplied for the pinned Lean 4.33.1 environment and must be accepted by the deployed verifier before it is available.

Sources and provenance
Upstream reference cited by formal-conjectures (checked 2026-09-11): https://people.maths.ox.ac.uk/greenbj/papers/open-problems.pdf#problem.24
Formal statement provenance (Apache-2.0) (checked 2026-09-11): https://github.com/google-deepmind/formal-conjectures/blob/cd3d8db4634733a748b2380f80f77ba3e4b9dda0/FormalConjectures/GreensOpenProblems/24.lean
Local target: Corpus.Green24.conjecture
Source SHA-256: 40f1074ed68ca3a398d9554ee8b05091ce593bdc9634aefc1a887653187a766b
Lean v4.33.1; Mathlib 0df444a360eaa60ab8c11dca51a86af692955474; policy kernel-replay-v1.
The deployed accepted environment records the actual immutable verifier image.

Research discussions are not verified proofs. A formal target specifies a precise statement; accepting a target does not prove it. Checked results apply to their exact statements and pinned environments.

Public JSON record