All open problems
Source labels openChecked July 26, 2026

Erdős ProblemsNumber theory

Erdős Problem 143: I

Does this imply that lim infA[1,x]x=0?\liminf \frac{|A \cap [1,x]|}{x} = 0?

Mathematical statement

Does this imply that

lim infA[1,x]x=0?\liminf \frac{|A \cap [1,x]|}{x} = 0?

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_143.parts.i

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem erdos_143.parts.i : answer(sorry)   (A : Set ), WellSeparatedSet A     liminf (fun x => (A ∩ (Set.Icc 1 x)).ncard / x) atTop = 0 := 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