This assignment is designed to give you practice using this format.

This assignment looks at arithmetic functions in number theory. We have already seen the examples $\phi (n)=\#\{x: 0<x< n,="" (x,n)="1\}&lt;/script"> and the floor/ greatest integer function <script type="math/tex">\lfloor x \rfloor =$greatest integer less than $x$. So far, we have a formula for the value of $\phi (n)$ when $n$ is prime or the product of two distinct primes. We will prove a general formula for the $\phi$ function and look at some other functions.