A sum of two powers is not divisible by five

Proved

WorkbookSource.problem_39057

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

lean-workbooksource-checked

The natural number $2^{29}+2^{15}+1$ is not divisible by $5$ .

Source: InternLM Lean-Workbook, record lean_workbook_39057 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_39057 : ¬(5 ∣ (2^29 + 2^15 + 1))  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_39057; Apache-2.0

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