lean_workbook_plus_36442

Proved

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

Find all positive integers $n$ such that $n^{2}+2^{n}$ is square of an integer.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_36442 (n : ℕ) (hn : 0 < n) : (∃ k : ℕ, n^2 + 2^n = k^2) ↔ ∃ k : ℕ, n^2 + 2^n = k^2 ∧ k > 0   :=  by sorry

Source