All open problems
Source labels openChecked July 26, 2026

Erdős ProblemsNumber theory

Erdős Problem 1062: Ii

Erdős asked whether the limiting density f n / n exists and, if so, whether it is irrational.

Mathematical statement

Erdős asked whether the limiting density f n / n exists and, if so, whether it is irrational.

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_1062.parts.ii

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem erdos_1062.parts.ii :    ( l, Tendsto (fun n => (f n : ) / n) atTop (𝓝 l)  Irrational l)  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