All open problems
Source labels openChecked July 26, 2026
Infinitude of Pell number primes
There are infinitely many prime Pell numbers
Mathematical statement
There are infinitely many prime Pell numbers
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
infinite_pellNumber_primes
Complete statement target, proof intentionally absentLean 4
theorem infinite_pellNumber_primes : Infinite {n : ℕ | Prime (pellNumber 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