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Number theory

Erdős 17

**Erdős Problem 17.** Are there infinitely many cluster primes?

No one has attempted this yet.

Formal statement

Lean type

True ↔ {p | Erdos17.IsClusterPrime p}.Infinite

What you must prove

import FormalConjectures.ErdosProblems.«17»
import TaskSupport

namespace Bounty

theorem target : fcTypeOfName% "Erdos17.erdos_17" := by
  sorry

end Bounty

Pinned source: FormalConjectures/ErdosProblems/17.lean

Source type SHA-256
sha256:4e4edda55e193af3b1e6e72381cf8a97a4eb48adfddf96bec2b8bcca7bfc9eab
Task id
fc-379fc029-erdos17-erdos-17-69d191880f-formalized-v1
Task commitment
sha256:f490dd6da820e203b881fe71d64c3e5acfe1d33df1202545b80e55af56edaeef

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.