Number theory
On holdDate added
Withdrawn 6 Oct 2026
HOLD_UNVERIFIED_RESOLUTION_CLAIM (a public repository claims the full bound, but its endpoint assumes an external hypothesis that is not instantiated. Admission is suspended pending substantive review; the target is not solved and not retired. See HOLDS-2026-10-06.md.)
nobody has started
This target is on hold.
Admission is suspended while a statement, source or resolution claim is checked. It returns once that is resolved and the target is audited again.
Nothing has been published against this problem yet.
A first lemma counts as much as a last one: when the problem is closed, up to half of its bounty can go to the recognised pieces that led there.
Formal statement
Proof target
import FormalConjectures.ErdosProblems.«887»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos887.erdos_887.parts.ii" := by
sorry
end Bounty
Original conjecture (Lean type)
∃ K, ∀ C > 0, ∀ᶠ (n : ℕ) in Filter.atTop, {d ∈ Finset.Ioo ⌊√↑n⌋₊ ⌈√↑n + C * ↑n ^ (1 / 4)⌉₊ | d ∣ n}.card ≤ KOriginal conjecture source: FormalConjectures/ErdosProblems/887.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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