All open problems
Source labels openChecked July 26, 2026
Woodal Primes
There are infinitely many prime numbers of the form k * 2 ^ k - 1 for k > 1.
Mathematical statement
There are infinitely many prime numbers of the form k * 2 ^ k - 1 for k > 1.
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
infinitely_many_woodall_primes
Complete statement target, proof intentionally absentLean 4
theorem infinitely_many_woodall_primes : {k : ℕ | 1 < k ∧ (k * 2 ^ k - 1).Prime}.Infinite := 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