All open problems
Source labels openChecked July 26, 2026
Conjectures about Mersenne primes
The New Mersenne Conjecture statement holds for odd primes.
Mathematical statement
The New Mersenne Conjecture statement holds for odd primes.
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
new_mersenne_conjecture.variants.prime
Complete statement target, proof intentionally absentLean 4
theorem new_mersenne_conjecture.variants.prime (p : ℕ) (hp : p.Prime) (h : Odd p) : NewMersenneConjectureStatement p := 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