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Comparing two large integer powers

Proved
WorkbookSource.problem_33828

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

The following strict numerical comparison holds:

233310>521.2^{33}3^{10}>5^{21}.233310>521.

Source: InternLM Lean-Workbook, record lean_workbook_33828 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_33828 : (2^(33)*3^(10) : ℝ) > 5^(21)  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_33828; Apache-2.0

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