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erdos_399.variants.erdos_oblath
Specification
Erdős and Obláth proved there are no solutions when `x.Coprime y` and `k ≠ 4`.
Lean 4 Statement
theorem erdos_399.variants.erdos_oblath {n x y k : ℕ} :
x.Coprime y → 1 < x * y → 2 < k → k ≠ 4 →
n ! ≠ x ^ k + y ^ k ∧ n ! + y ^ k ≠ x ^ k
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