Wikipedia · test · AMS 11

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Hall's conjecture

Exercise · elkies_bound

Elkies' example (x,y)=(5853886516781223,447884928428402042307918)(x, y) = (5853886516781223, 447884928428402042307918) shows that such CC must be less than 0.02150.0215. Note that simple linarith does not work here.

Formal statement · Lean 4.lean
theorem elkies_bound (C : ℝ) : HallIneq C 2⁻¹ → C < 0.0215 := by
  sorry

Proof. sorry

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