Added a problem

Advanced/Intro to Proofs/main.tex

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 	\maketitle
 
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 	\problem{}
 	We say an integer $x$ is \textit{even} if $x = 2k$ for some $k \in \mathbb{Z}$.
 	We say $x$ is \textit{odd} if $x = 2k + 1$ for some $k \in \mathbb{Z}$. \par
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 	\problem{}
 	Let $r \in \mathbb{R}$. We say $r$ is \textit{rational} if there exist $p, q \in \mathbb{Z}, q \neq 0$ so that $r = \frac{a}{b}$
 	
@@ -82,6 +89,22 @@
 
 
 
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+	\problem{}
+	Show that there are infinitely may primes. \par
+	You may use the fact that every integer has a prime factorization.
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+	\vfill
+	\pagebreak
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 	\problem{}
 	For a set $X$, define its \textit{diagonal} as $\text{D}(X) = \{ (x, x) \in X \times X ~\bigl|~ x \in X \}$.