If $\phi(n)$ is the Euler-totient function, how can I show that $\phi(n) \ge \sqrt{n}$?
2026-03-31 18:42:15.1774982535
How to justify $\phi(n) \ge \sqrt{n}$
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Hint: both $\phi(n)$ and $\sqrt{n}$ are multiplicative, so it suffices to consider prime powers.