Euler Phi Function of 111

Example of Euler $\phi$ Function of Non-Square Semiprime

$\phi \left({111}\right) = 72$

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


Proof

We have that:

$111 = 3 \times 37$


Thus:

\(\ds \phi \left({111}\right)\) \(=\) \(\ds \left({3 - 1}\right) \left({37 - 1}\right)\) Euler $\phi$ Function of Non-Square Semiprime
\(\ds \) \(=\) \(\ds 2 \times 36\)
\(\ds \) \(=\) \(\ds 72\)

$\blacksquare$

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