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Source labels openChecked July 26, 2026

Erdős ProblemsCombinatorics

Erdős Problem 539: Limit

From [Er73]: The determination of limnlog(h(n))log(n)\lim_{n\to\infty}\frac{\log(h(n))}{\log(n)} will perhaps be not too difficult.

Mathematical statement

From [Er73]: The determination of

limnlog(h(n))log(n) \lim_{n\to\infty}\frac{\log(h(n))}{\log(n)}

will perhaps be not too difficult.

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_539.variants.limit

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem erdos_539.variants.limit :    atTop.Tendsto (fun n  Real.log (cofactorThreshold n) / Real.log n) answer(sorry) := 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