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Source labels openChecked July 26, 2026

Erdős ProblemsCombinatorics

Erdős Problem 812: Ii

Is it true that R(n+1)R(n)n2R(n+1)-R(n) \gg n^2?

Mathematical statement

Is it true that R(n+1)R(n)n2R(n+1)-R(n) \gg n^2?

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_812.parts.ii

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem erdos_812.parts.ii :    answer(sorry)       (fun n :   (R (n + 1) : ) - (R n : )) ≫ (fun n :   (n : ) ^ 2) := 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