Erdős Problem 477

formal-conjectures · erdos-problems · ams-12

Probably there is no such $A$ for the polynomial $X^3$.

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://www.erdosproblems.com/477
Upstream reference cited by formal-conjectures (checked 2026-09-11): http://dml.cz/dmlcz/100376
Formal statement provenance (Apache-2.0) (checked 2026-09-11): https://github.com/google-deepmind/formal-conjectures/blob/cd3d8db4634733a748b2380f80f77ba3e4b9dda0/FormalConjectures/ErdosProblems/477.lean
Local target: Corpus.Erdos477.erdos_477.variants.X_pow_three
Source SHA-256: 5e59363b1f140ad8ef8c6a62f8fe051dca2432dce2fa6f17941016015e0752f7
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