BrocardConjecture.lean`

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

2 declarations, 2 contain sorry, 0 declared as axioms

Brocard's Conjecture

References:

Imports (1)

FormalConjecturesUtil

theorem Brocard.brocard_conjecture Brocard's Conjecture For every n ≥ 2, between the squares of the n-th and (n+1)-th primes, there are at least four prime numbers sorry line 40 source
Source documentation
Brocard's Conjecture For every n ≥ 2, between the squares of the n-th and (n+1)-th primes, there are at least four prime numbers.

depends on sorry what this means
Statement uses: Nat, LE.le, OfNat.ofNat, Finset.card, Finset.filter, Nat.Prime, Finset.Ioo, HPow.hPow, Nat.nth, HAdd.hAdd
Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous
22 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem brocard_conjecture (n : ℕ) (hn : 1 ≤ n) :
    letI prev := n.nth Nat.Prime;
…
```
theorem Brocard.brocard_conjecture.ferreira_large_n Ferreira proved that Brocard's conjecture is true for sufficiently large n sorry line 50 source
Source documentation
Ferreira proved that Brocard's conjecture is true for sufficiently large n.

depends on sorry what this means
Statement uses: Filter.Eventually, Nat, LE.le, OfNat.ofNat, Finset.card, Finset.filter, Nat.Prime, Finset.Ioo, HPow.hPow, Nat.nth, HAdd.hAdd, Filter.atTop
Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous
22 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem brocard_conjecture.ferreira_large_n : ∀ᶠ n in atTop,
    letI prev := n.nth Nat.Prime;
…
```