FormalConjectures.Wikipedia.TwinPrimes

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import FormalConjecturesUtil

Twin prime conjecture

References:

Landau Problems Wikipedia Page

Twin Primes Conjecture Wikipedia Page



namespace TwinPrimes

Are there infinitely many primes p such that p + 2 is prime?

@[category research open, AMS 11]
theorem declaration uses 'sorry'twin_primes :
    answer(sorry) ↔ {p : ℕ | Prime p ∧ Prime (p + 2)}.Infinite := by⊢ True ↔ {p | Prime p ∧ Prime (p + 2)}.Infinite
  sorryAll goals completed! 🐙


end TwinPrimes