All open problems
Source labels openChecked July 26, 2026
Erdős Problem 160: Better Lower
Estimate by finding a better lower bound.
Mathematical statement
Estimate by finding a better lower bound.
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_160.better_lower
Complete statement target, proof intentionally absentLean 4
theorem erdos_160.better_lower: let lower_bound : ℕ → ℝ := answer(sorry) (lower_bound =O[atTop] fun n => (erdos_160.h n : ℝ)) ∧ ∀ c > 0, (fun (n : ℕ) => exp (c * log n ^ ((1 : ℝ) / 12))) =O[atTop] (fun n => (erdos_160.h n : ℝ)) → ∀ c > 0, (fun (n : ℕ) => exp (c * log n ^ ((1 : ℝ) / 12))) =o[atTop] lower_bound := 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