# Ben Green's Open Problem 57

A statement in qed.bot, the register of claims of AI work in mathematics. The register grades the evidence attached to each claim; it never rules on whether a proof is correct.

- Identifier: green:57
- Collection: Green's open problems
- Page: https://qed.bot/s/green-57
- Formal record: solved
- Machine-checked: no independent check has verified it
- Fidelity F2: The statement corpus cites this proof against its own statement.
- Source: https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/GreensOpenProblems/57.lean

## AI claims

No AI contribution is recorded against this statement.

## Formal statements

- FormalConjectures/GreensOpenProblems/57.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/GreensOpenProblems/57.lean

Cite as: qed.bot, "Ben Green's Open Problem 57", https://qed.bot/s/green-57, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/