# Euler Phi Function of 3

## Theorem

$\map \phi 3 = 2$

where $\phi$ denotes the Euler $\phi$ function.

## Proof

$\map \phi p = p - 1$

As $3$ is a prime number it follows that:

$\map \phi 3 = 3 - 1 = 2$

$\blacksquare$