PrimeTriplets.lean`

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Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

1 declarations, 1 contain sorry, 0 declared as axioms

Prime Triplet Conjecture

Reference: Prime Triplet Wikipedia Page

Imports (1)

FormalConjecturesUtil

theorem PrimeTriplets.prime_triplets Are there infinitely many tuples of three consecutive primes $(p, q, r)$ such that $r - p = 6$? sorry line 34 source
Source documentation
Are there infinitely many tuples of three consecutive primes $(p, q, r)$ such that $r - p = 6$?

depends on sorry what this means
Statement uses: Iff, True, Set.Infinite, Nat, Set.ofPred, And, Prime, Or, HAdd.hAdd, OfNat.ofNat
Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous
8 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem prime_triplets :
    answer(sorry) ↔ {p : ℕ | Prime p ∧ (Prime (p + 2) ∨ Prime (p + 4)) ∧ Prime (p + 6)}.Infinite := by
…
```