Source labels openChecked July 26, 2026

Erdős Problem 272: Szabo Strong

Szabo asks whether the maximal $t$ is given by $\frac{N^2}{2} + O(N)$

Mathematical statement

Szabo asks whether the maximal $t$ is given by

\frac{N^2}{2} + O(N)

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_272.variants.szabo_strong

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem erdos_272.variants.szabo_strong :    (fun N ↦ (maxArithInterCard N - N ^ 2 / 2 : ℝ)) =O[atTop] fun N : ℕ ↦ (N : 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

Pinned Formal Conjectures sourceformalization erdosproblems.com/272background