blob: 3119cf8bab454c7fe9b09198e5caaf0f5660f01d (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
|
% 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}
|
