Amicable numbers
Infinitely many amicable numbers conjecture.*
Mathematical statement
Infinitely many amicable numbers conjecture.*
Are there infinitely many pairs of amicable numbers?
While many amicable pairs are known, it remains open whether there are infinitely many. Reference:* Wikipedia, erdosproblems.com/830
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
infinitely_many_amicable
theorem infinitely_many_amicable : type_of% Erdos830.erdos_830.parts.i := 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