Source labels openChecked July 26, 2026

Erdős Problem 213

Let $n \geq 4$ . Are there $n$ points in $\mathbb{R}^2$ , no three on a line and no four on a circle, such that all pairwise distances are integers?

Convex geometry AMS 52

Mathematical statement

Let $n \geq 4$ . Are there $n$ points in $\mathbb{R}^2$ , no three on a line and no four on a circle, such that all pairwise distances are integers?

Statement source: Erdős Problems statement material

Statement terms: Source-specific

Source-specific terms. Therefore does not assert reuse rights beyond attributed display.

Statement artifacts, not proofs

These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.

Pinned Lean formulation 1

erdos_213

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem erdos_213 : answer(sorry) ↔ ∀ n : ℕ, n ≥ 4 → Erdos213For n := by sorry

Statement source: Formal Conjectures
Lean version: v4.27.0
Placeholder: Present; no proof artifact
Source evidence: Pinned source index
Fidelity review: Community formulation

References

Pinned Formal Conjectures sourceformalization erdosproblems.com/213background