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authorKarl Berry <karl@freefriends.org>2005-12-29 00:35:06 +0000
committerKarl Berry <karl@freefriends.org>2005-12-29 00:35:06 +0000
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+% Format: LaTeX
+\documentstyle{report}
+
+\setlength{\parskip}{\baselineskip}
+\setlength{\parindent}{0pt}
+
+\begin{document}
+
+\chapter{Unsolved Problems}
+
+\section{Odd Perfect Numbers}
+
+A number is said to be {\em perfect\/} if it
+is the sum of its divisors. For example, $6$ is
+perfect because \(1+2+3 = 6\), and $1$, $2$, and $3$
+are the only numbers that divide evenly into $6$
+(apart from 6 itself).
+
+It has been shown that all even perfect numbers
+have the form \[2^{p-1}(2^{p}-1)\] where $p$
+and \(2^{p}-1\) are both prime.
+
+The existence of {\em odd\/} perfect numbers is
+an open question.
+\end{document}