Non-Power-of-2 Almost Perfect Numbers Conjecture
Non-Power-of-2 Almost Perfect Numbers Conjecture.* Does there exist an almost perfect number that is not a power of 2?
Mathematical statement
Non-Power-of-2 Almost Perfect Numbers Conjecture.* Does there exist an almost perfect number that is not a power of 2?
Statement source: Wikipedia statement material
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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
exists_almost_perfect_not_power_of_two
theorem exists_almost_perfect_not_power_of_two : answer(sorry) ↔ ∃ n : ℕ, AlmostPerfect n ∧ ¬ ∃ k : ℕ, n = 2^k := 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