Euler Phi Function of 527
Jump to navigation
Jump to search
Example of Euler $\phi$ Function of Non-Square Semiprime
- $\map \phi {527} = 480$
where $\phi$ denotes the Euler $\phi$ Function.
Proof
We have that:
- $527 = 17 \times 31$
Thus:
| \(\ds \map \phi {527}\) | \(=\) | \(\ds \paren {17 - 1} \paren {31 - 1}\) | Euler $\phi$ Function of Non-Square Semiprime | |||||||||||
| \(\ds \) | \(=\) | \(\ds 16 \times 30\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 2^4 \times \paren {2 \times 3 \times 5}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 2^5 \times 3 \times 5\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 480\) |
$\blacksquare$