lean_workbook_plus_58459

Disproved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that the number $q_{n} = (10^{3n}+3 \times 10^{2n}-4)/9$ is irrational for all integers n > 1.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_58459 (n : ℕ) (hn : 1 < n) : ¬ ∃ q : ℚ, (q : ℝ) = (10^(3*n) + 3 * 10^(2*n) - 4) / 9   :=  by sorry

Source