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import FormalConjecturesUtilFeit-Thompson conjecture on primes
namespace FeitThompsonPrimeConjecture
There are no distinct primes $p$ and $q$ such that $\frac{q^p - 1}{q - 1}$ divides $\frac{p^q - 1}{p - 1}$
@[category research open, AMS 11]
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) := p:ℕq:ℕhp:Nat.Prime phq:Nat.Prime qh:p < q⊢ ¬(q ^ p - 1) / (q - 1) ∣ (p ^ q - 1) / (p - 1)
All goals completed! 🐙
end FeitThompsonPrimeConjecture