Euler Phi Function of 314

Example of Use of Euler $\phi$ Function

$\map \phi {314} = 156$

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

Proof

We have that:

$314 = 2 \times 157$

Thus:

\(\ds \map \phi {314}\)

\(=\)

\(\ds 157 - 1\)

Euler Phi Function of 2 times Odd Prime

\(\ds \)

\(=\)

\(\ds 156\)

$\blacksquare$