Conjectures.io

Number theory

Erdős 913 - infinite many 8p sq sub one primes

It is likely that there are infinitely many primes pp such that 8p218p^2 - 1 is also prime.

No one has attempted this yet.

Formal statement

Lean type

{p | Nat.Prime p ∧ Nat.Prime (8 * p ^ 2 - 1)}.Infinite

What you must prove

import FormalConjectures.ErdosProblems.«913»
import TaskSupport

namespace Bounty

theorem target : fcTypeOfName% "Erdos913.erdos_913.variants.infinite_many_8p_sq_sub_one_primes" := by
  sorry

end Bounty

Pinned source: FormalConjectures/ErdosProblems/913.lean

Source type SHA-256
sha256:9238757bf05c18a87aa8fb76bc1cdfaffce9c8331144a35da36765f6bbb3dea5
Task id
fc-379fc029-variants-infinite-many-8p-sq-sub-one-primes-c71f024fa8-formalized-v1
Task commitment
sha256:4711f386aa788755b10235084ac2244a4340db678b94dd4c5e33632c6e188353

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.