FormalConjectures/Wikipedia/WoodalPrimes.lean

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1 declarations, 1 contain sorry, 0 declared as axioms

Woodall Primes

References:

Imports (1)
  1. theorem WoodallPrimes.infinitely_many_woodall_primes There are infinitely many prime numbers of the form k * 2 ^ k - 1 for k > 1 sorry line 34 source

    Source documentation

    There are infinitely many prime numbers of the form k * 2 ^ k - 1 for k > 1.

    depends on sorry what this means

    Statement uses: Set.Infinite, Nat, Set.ofPred, And, LT.lt, OfNat.ofNat, Nat.Prime, HSub.hSub, HMul.hMul, HPow.hPow

    Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous

    20 instances, coercions and auxiliary constants left out.

    Tactic trace: 1 steps

    Open to load the checked before-and-after goal states.

    theorem infinitely_many_woodall_primes : {k : ℕ | 1 < k ∧ (k * 2 ^ k - 1).Prime}.Infinite := by
    …