Number theory
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Formal statement
Proof target
import FormalConjectures.Wikipedia.Goormaghtigh
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Goormaghtigh.goormaghtigh_conjecture" := by
sorry
end Bounty
Original conjecture (Lean type)
∀ (N : ℕ), Goormaghtigh.IsGoormaghtighNumber N → N = 31 ∨ N = 8191Original conjecture source: FormalConjectures/Wikipedia/Goormaghtigh.lean
Something wrong with this formalization?
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.
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