FeitThompsonPrimeConjecture.lean`

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

1 declarations, 1 contain sorry, 0 declared as axioms

Feit-Thompson conjecture on primes

Reference: Wikipedia

Imports (1)

FormalConjecturesUtil

theorem FeitThompsonPrimeConjecture.feit_thompson_primes There are no distinct primes $p$ and $q$ such that $\frac{q^p - 1}{q - 1}$ divides $\frac{p^q - 1}{p - 1}$ sorry line 34 source
Source documentation
There are no distinct primes $p$ and $q$ such that $\frac{q^p - 1}{q - 1}$ divides $\frac{p^q - 1}{p - 1}$

depends on sorry what this means
Statement uses: Nat, Nat.Prime, LT.lt, Not, Dvd.dvd, HDiv.hDiv, HSub.hSub, HPow.hPow, OfNat.ofNat
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 feit_thompson_primes (p q : ℕ) (hp : p.Prime) (hq : q.Prime) (h : p < q) :
    ¬ (q ^ p - 1) / (q - 1) ∣ (p ^ q - 1) / (p - 1) := by
…
```