Number theory
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Formal statement
Proof target
import FormalConjectures.ErdosProblems.«890»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos890.erdos_890.parts.b" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔
∀ k ≥ 1,
Filter.limsup
(fun n =>
(∑ i ∈ Finset.range k, ↑(ArithmeticFunction.cardDistinctFactors (n + i))) *
(↑(Real.log (Real.log ↑n)) / ↑(Real.log ↑n)))
Filter.atTop =
1Original conjecture source: FormalConjectures/ErdosProblems/890.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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