Conjectures.io

Number theory

Erdős 1059

Are there infinitely many primes pp such that pk!p - k! is composite for each kk such that 1k!<p1 ≤ k! < p?

Formal statement

Lean type

True ↔ {p | Nat.Prime p ∧ Erdos1059.AllFactorialSubtractionsComposite p}.Infinite

What you must prove

import FormalConjectures.ErdosProblems.«1059»
import TaskSupport

namespace Bounty

theorem target : fcTypeOfName% "Erdos1059.erdos_1059" := by
  sorry

end Bounty

Pinned source: FormalConjectures/ErdosProblems/1059.lean

Source type SHA-256
sha256:98974fba9f1c9ea6a2cacf4fd3f1ef139bb69c2ace4d6e77536cf4aae51995ba
Task id
fc-379fc029-erdos1059-erdos-1059-e09749a98e-formalized-v1
Task commitment
sha256:5ab0428e2fa52e0ea7dad25a0962f14da089fb3bf549c15155954fd8c671124c

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.