Hypothesis H
Schinzel conjecture (H hypothesis)* If a finite set of polynomials satisfies both Schinzel and Bunyakovsky conditions, there exist infinitely many natural numbers such that are primes for all .
Mathematical statement
Schinzel conjecture (H hypothesis)* If a finite set of polynomials satisfies both Schinzel and Bunyakovsky conditions, there exist infinitely many natural numbers such that are primes for all .
Statement source: Wikipedia statement material
Statement terms: CC-BY-SA-4.0
Attributed source material. Reuse must follow the linked attribution and share-alike terms.
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
schinzel_conjecture
theorem schinzel_conjecture (fs : Finset ℤ[X]) (hfs : ∀ f ∈ fs, BunyakovskyCondition f) (hfs' : SchinzelCondition fs) : Infinite {n : ℕ | ∀ f ∈ fs, (f.eval (n : ℤ)).natAbs.Prime} := 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