Euler Phi Function of 194

Example of Use of Euler $\phi$ Function

$\map \phi {194} = 96$

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

Proof

We have that:

$194 = 2 \times 97$

Thus:

\(\ds \map \phi {194}\)

\(=\)

\(\ds 97 - 1\)

Euler Phi Function of 2 times Odd Prime

\(\ds \)

\(=\)

\(\ds 96\)

$\blacksquare$