n-n-1-n-Z-where-is-Eular-phi-function-True-or-false-And-explain-it-

Question Number 11365 by agni5 last updated on 22/Mar/17

\emptyset (n) = n - 1, n \in Z, where \emptyset is Eular phi function .

True or false . And explain it .

Commented by bahmanfeshki1 last updated on 22/Mar/17

i f n b e p r i m e n u m b e r i s t r u e o t h e r w i s e

i s f a l s e

i f n = {\underset{1}{p}}^{α_{1}} \dots p_{k}^{α_{k}} t h e n \emptyset (n) = n (1 - \frac{1}{p_{1}}) \dots (1 - \frac{1}{p_{k}})