Euler Phi Function of 15
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Example of Euler $\phi$ Function of Non-Square Semiprime
- $\map \phi {15} = 8$
where $\phi$ denotes the Euler $\phi$ Function.
Proof
We have that:
- $15 = 3 \times 5$
Thus:
\(\ds \map \phi {15}\) | \(=\) | \(\ds \paren {3 - 1} \paren {5 - 1}\) | Euler $\phi$ Function of Non-Square Semiprime | |||||||||||
\(\ds \) | \(=\) | \(\ds 2 \times 4\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 8\) |
$\blacksquare$