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Euler_Phi_Function_is_Even_for_Argument_greater_than_2

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

euler-phi-functionnumber-theoryproofwiki

Let n >= 1. Then phi(n) is even iff n > 2.

Preamble
import Mathlib.Analysis.Complex.Basic
import Mathlib.Data.Nat.Totient
Formal statement
theorem Euler_Phi_Function_is_Even_for_Argument_greater_than_2 (n : ℕ) (hn : n > 2) : Even (Nat.totient n) := by sorry
Source
https://proofwiki.org/wiki/Euler_Phi_Function_is_Even_for_Argument_greater_than_2

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