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\noindent \textbf{Math 465 - Fall 2019 \\
 Homework 1} \\
Due September 4th, 2019 \vspace{-4mm}\\

\noindent \small \textit{That's all well and good in practice, but how does it work in theory?
}\\\vspace{1mm} \hfill---
Shmuel Weinberger


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\noindent \textbf{Turn in:} 1-1.6, 2-1.4, 2-1.5, 2-2.1(a-c), 2.2.8 (From the textbook) and the following:
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\item Prove that $\gcd(n,n+1)=1$ for all integers $n$.  
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