Source labels openChecked July 26, 2026

Erdős Problem 600: Ii

Let $r \geq 2$ . Is it true that $\frac{e(n,r+1)}{e(n,r)} \to 1$ as $n \to \infty$ ?

Combinatorics AMS 5

Mathematical statement

Let $r \geq 2$ . Is it true that $\frac{e(n,r+1)}{e(n,r)} \to 1$ as $n \to \infty$ ?

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_600.parts.ii

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem erdos_600.parts.ii :    answer(sorry) ↔ ∀ r : ℕ, 2 ≤ r →      Tendsto (fun (n : ℕ) ↦ (eFunction n (r + 1) : ℝ) / (eFunction n r : ℝ)) atTop (𝓝 1) := 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/600background erdosproblems.com/80background