Erdős Problem 340: Sub Has Pos Density
Erdős and Graham [ErGr80] also asked about the difference set and whether this has positive density.
Mathematical statement
Erdős and Graham [ErGr80] also asked about the difference set and whether this has positive density.
[ErGr80] Erdős, P. and Graham, R., Old and new problems and results in combinatorial number theory. Monographies de L'Enseignement Mathematique (1980).
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_340.variants.sub_hasPosDensity
theorem erdos_340.variants.sub_hasPosDensity : Set.HasPosDensity (Set.range greedySidon - Set.range greedySidon) := 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