Number theory
The accepted file establishes a result about a faulty formal statement. It does not settle the intended mathematical problem. The recorded review explains the mismatch.
Submitted by 5FqLp5…FfZZiK
Formal statement
Proof target
import FormalConjectures.ErdosProblems.«726»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos726.erdos_726" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔
Asymptotics.IsEquivalent Filter.atTop
(fun n => ∑ p ∈ Finset.range (n + 1) with Nat.Prime p ∧ ↑p / 2 < ↑n % ↑p, 1 / ↑p) fun n =>
Real.log (Real.log ↑n) / 2Original conjecture source: FormalConjectures/ErdosProblems/726.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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Individual lemmas, special cases and supporting work, shown in their original scope.
Nothing has been published against this problem yet.