# Erdős Problem 47

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: erdos:47
- Collection: Erdős
- Page: https://qed.bot/s/erdos-47
- Formal record: solved; at its source: proved (Lean)
- Prize: $100
- Machine-checked: no independent check has verified it
- Fidelity F2: The statement corpus cites this proof against its own statement.
- Source: https://www.erdosproblems.com/47

## AI claims

No AI contribution is recorded against this statement.

## Checks

- not self-contained, by qed.bot: imports project modules: UnitFractions.Definitions, UnitFractions.FinalResults (https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos47.lean)

## Formal statements

- FormalConjectures/ErdosProblems/47.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/47.lean

Cite as: qed.bot, "Erdős Problem 47", https://qed.bot/s/erdos-47, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/