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Source labels openChecked July 26, 2026
Erdős Problem 307: Coprime One Not Mem
There are no examples known of the weakened coprime version if we insist that .
Mathematical statement
There are no examples known of the weakened coprime version if we insist that .
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_307.variants.coprime_one_notMem
Complete statement target, proof intentionally absentLean 4
theorem erdos_307.variants.coprime_one_notMem : answer(sorry) ↔ ∃ P Q : Finset ℕ, 0 ∉ P ∩ Q ∧ 1 ∉ P ∪ Q ∧ 1 < #P ∧ 1 < #Q ∧ Set.Pairwise P Nat.Coprime ∧ Set.Pairwise Q Nat.Coprime ∧ 1 = (∑ p ∈ P, (p : ℚ)⁻¹) * (∑ q ∈ Q, (q : ℚ)⁻¹) := 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