Betrothed numbers
Same parity betrothed numbers conjecture.* Do there exist betrothed numbers where both have the same parity (both even or both odd)?
Mathematical statement
Same parity betrothed numbers conjecture.* Do there exist betrothed numbers where both have the same parity (both even or both odd)?
All known betrothed pairs consist of one even and one odd number.
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
same_parity_betrothed
theorem same_parity_betrothed : answer(sorry) ↔ ∃ m n : ℕ, IsBetrothed m n ∧ (Even m ↔ Even 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