Number theory
WithdrawnDate added
Withdrawn 2 Nov 2026
NOT_NOVEL: David Turturean's September 2026 manuscript gives an unconditional proof of Erdos 456(iii), publicly documented on September 23 before this submission's November 2 acceptance. Review of Section 4 and Appendix D found no material gap. Policy v4 excludes a later independent proof or first Lean formalization of an already solved target. No plagiarism finding is made.
Read the recorded decision1 proof submitted, yesterday
Formal statement
Proof target
import Mathlib
import FormalConjectures.ErdosProblems.«456»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos456.erdos_456.parts.iii" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔ {q | Nat.Prime q ∧ ∀ (n : ℕ), Erdos456.m n = q ↔ n = q - 1}.InfiniteOriginal conjecture source: FormalConjectures/ErdosProblems/456.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.