A power of two modulo three

Proved

WorkbookSource.problem_34657

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

lean-workbooksource-checked

The remainder of $2^{2020}$ upon division by $3$ is

2^{2020}\bmod3=1.

Source: InternLM Lean-Workbook, record lean_workbook_34657 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_34657 :
  (2^2020) % 3 = 1  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_34657; Apache-2.0

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