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\title{Assignment 5}
\date{Tuesday June 12, 2012}
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\section{Algebra}
This section is intended to completed on Friday June 11th.
Let $p$ be a prime number for the following two problems. Recall for every $a$ where $a\not\equiv 0 \mod p$, there is an inverse; ie. there is some $b$ such that $a\cdot b \equiv 1 \mod n$. This result will come in handy for the next two problems.
\begin{prob}
Fix $p$ a prime number, and $a$ such that $0