Source labels openChecked July 26, 2026

Erdős Problem 323: K Gt 2

For $k>2$ it is not known if $f_{k,k}(x)=o(x)$ .

Number theory AMS 11

Mathematical statement

For $k>2$ it is not known if $f_{k,k}(x)=o(x)$ .

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_323.variants.k_gt_2

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem erdos_323.variants.k_gt_2 :    answer(sorry) ↔ ∀ k > 2, (fun (x : ℕ) ↦ (f k k x : ℝ)) =o[atTop] (fun (x : ℕ) ↦ (x : 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/323background