All open problems
Source labels openChecked July 26, 2026
Erdős Problem 951
If 1 < a 0 < ... has property Erdos951Prop, is it true that #{a i ≤ x} ≤ π x?
Mathematical statement
If 1 < a 0 < ... has property Erdos951Prop, is it true that #{a i ≤ x} ≤ π x?
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_951
Complete statement target, proof intentionally absentLean 4
theorem erdos_951 : answer(sorry) ↔ ∀ a : ℕ → ℝ, 1 < a 0 → StrictMono a → Erdos951Prop a → ∀ᶠ (x : ℝ) in Filter.atTop, {i : ℕ | a i ≤ x}.ncard ≤ π ⌊x⌋₊ := 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