All open problems
Source labels openChecked July 26, 2026
Erdős Problem 30
Is it true that, for every , $h(N) = \sqrt N + O_{\varespilon}(N^\varespilon)
Mathematical statement
Is it true that, for every , $h(N) = \sqrt N + O_{\varespilon}(N^\varespilon)
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_30
Complete statement target, proof intentionally absentLean 4
theorem erdos_30 : answer(sorry) ↔ ∀ᵉ (ε > 0), (fun N => h N - (N : Real).sqrt) =O[atTop] fun N => (N : ℝ)^(ε : ℝ) := 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