lean_workbook_plus_10287

Proved

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

For how many $n$ , $\frac {8n}{9999-n}$ is an integer given $1 \leq n \leq 2014$ ?

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_10287 : ∃ n, (1 ≤ n ∧ n ≤ 2014 ∧ ∃ k : ℤ, 8 * n = k * (9999 - n))   :=  by sorry

Source