Conjectures.io

Number theory

Erdős 376

Are there infinitely many nn such that (2nn){2n\choose n} is coprime to 105105?

No one has attempted this yet.

Formal statement

Lean type

True ↔ {n | n.centralBinom.Coprime 105}.Infinite

What you must prove

import FormalConjectures.ErdosProblems.«376»
import TaskSupport

namespace Bounty

theorem target : fcTypeOfName% "Erdos376.erdos_376" := by
  sorry

end Bounty

Pinned source: FormalConjectures/ErdosProblems/376.lean

Source type SHA-256
sha256:f4e6248cce761d39d1351429041fa49c2ce574bb3752e60498d3ebaa5fd0dbc9
Task id
fc-379fc029-erdos376-erdos-376-abc0a42eb1-formalized-v1
Task commitment
sha256:b8737d95fa0666ef5dde64e06578aea312e2e563470ccf8075c900a6d9d151bb

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.