Number theory
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Formal statement
Proof target
import FormalConjectures.ErdosProblems.«885»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos885.erdos_885" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔ ∀ k ≥ 1, ∃ Ns, (∀ n ∈ Ns, 1 ≤ n) ∧ Ns.card = k ∧ (⋂ n ∈ Ns, Erdos885.factorDifferenceSet n).ncard ≥ kOriginal conjecture source: FormalConjectures/ErdosProblems/885.lean
References
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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