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erdos_1065a

Specification

Are there infinitely many primes $p$ such that $p = 2^k * q + 1$ for some prime $q$ and $k ≥ 0$? This is mentioned as B46 in [Unsolved Problems in Number Theory](https://doi.org/10.1007/978-0-387-26677-0) by *Richard K. Guy*

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Lean 4 Statement
theorem erdos_1065a :
    answer(sorry) ↔ Set.Infinite {p | ∃ q k, p.Prime ∧ q.Prime ∧ p = 2^k * q + 1}
ID: ErdosProblems__1065__erdos_1065a
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