All open problems
Source labels openChecked July 26, 2026
Erdős Problem 288: Exists K Gt 2
Is it true for any that only finitely many intervals satisfy this condition?
Mathematical statement
Is it true for any that only finitely many intervals satisfy this condition?
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_288.variants.exists_k_gt_2
Complete statement target, proof intentionally absentLean 4
theorem erdos_288.variants.exists_k_gt_2 : answer(sorry) ↔ ∃ k > 2, Set.Finite { I : Fin k → ℕ+ × ℕ+ | ∀ j, (I j).1 ≤ (I j).2 ∧ ∃ n : ℕ+, (∑ j : Fin k, ∑ nⱼ ∈ Set.Icc (I j).1 (I j).2, (nⱼ⁻¹ : ℚ)) = n } := 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