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

$$\mathrm{\varnothing }\left(\mathrm{n}\right)=\mathrm{n}-1,\mathrm{n}\in \mathrm{Z},\mathrm{where}\mathrm{\varnothing }\mathrm{is}\mathrm{Eular}\mathrm{phi}\mathrm{function}.$$$$\mathrm{True}\mathrm{or}\mathrm{false}.\mathrm{And}\mathrm{explain}\mathrm{it}.$$

Commented by bahmanfeshki1 last updated on 22/Mar/17

$$ifnbeprimenumberistrueotherwise$$$$isfalse$$$$ifn={\underset{1}{p}}^{{\alpha }_1}\dots p_k^{{\alpha }_k}then\mathrm{\varnothing }\left(n\right)=n(1-\frac{1}{p_1})\dots (1-\frac{1}{p_k})$$

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