(a) Calculate (phi(1000)) and (phi(999)), where (phi) is Euler's (phi)-function. (b) Find the minimum and maximum values...

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(a) Calculate $\phi(1000)$ and $\phi(999)$, where $\phi$ is Euler's $\phi$-function.

(b) Find the minimum and maximum values of $\phi(n)$ for $20 \leq n \leq 30$.

(c) Show that if $n \geq 3$ then $\phi(n)$ is even.

(d) Find all positive integers $n$ such that $\phi(n)$ is not divisible by 4 .

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A Concise Introduction To Pure Mathematics

ISBN: 9781498722926

4th Edition

Authors: Martin Liebeck

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Question Posted: May 20, 2024 09:01 AM

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(a) Calculate (phi(1000)) and (phi(999)), where (phi) is Euler's (phi)-function. (b) Find the minimum and maximum values...

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A Concise Introduction To Pure Mathematics

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