Erdős Problem 242: Schinzel Generalization
Schinzel conjectured (see [Si56]) the generalisation that, for any fixed , if is sufficiently large in terms of then there exist distinct integers such that
Mathematical statement
Schinzel conjectured (see [Si56]) the generalisation that, for any fixed , if is sufficiently large in terms of then there exist distinct integers such 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_242.variants.schinzel_generalization
theorem erdos_242.variants.schinzel_generalization (a : ℕ) (ha : 0 < a) : ∀ᶠ (n : ℕ) in Filter.atTop, ∃ x y z : ℕ, 1 ≤ x ∧ x < y ∧ y < z ∧ (a / n : ℚ) = 1 / x + 1 / y + 1 / z := 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