Source labels openChecked July 26, 2026

Erdős Problem 66

Is there and $A \subset \mathbb{N}$ is such that $\lim_{n\to \infty}\frac{1_A\ast 1_A(n)}{\log n}$ exists and is $\ne 0$ ?

Number theory AMS 11

Mathematical statement

Is there and $A \subset \mathbb{N}$ is such that $\lim_{n\to \infty}\frac{1_A\ast 1_A(n)}{\log n}$ exists and is $\ne 0$ ?

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_66

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem erdos_66 : answer(sorry) ↔ ∃ (A : Set ℕ) (c : ℝ), c ≠ 0 ∧    Tendsto (fun n ↦ (sumRep A n : ℝ) / Real.log n) atTop (𝓝 c) := 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/66background