Number theory
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Formal statement
Proof target
import FormalConjectures.ErdosProblems.«30»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos30.erdos_30" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔ ∀ ε > 0, (fun N => ↑(Erdos30.h N) - √↑N) =O[Filter.atTop] fun N => ↑N ^ εOriginal conjecture source: FormalConjectures/ErdosProblems/30.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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