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author | Norbert Preining <norbert@preining.info> | 2019-09-02 13:46:59 +0900 |
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committer | Norbert Preining <norbert@preining.info> | 2019-09-02 13:46:59 +0900 |
commit | e0c6872cf40896c7be36b11dcc744620f10adf1d (patch) | |
tree | 60335e10d2f4354b0674ec22d7b53f0f8abee672 /info/maketexwork/ex-04-03 |
Initial commit
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-rw-r--r-- | info/maketexwork/ex-04-03 | 25 |
1 files changed, 25 insertions, 0 deletions
diff --git a/info/maketexwork/ex-04-03 b/info/maketexwork/ex-04-03 new file mode 100644 index 0000000000..3119cf8bab --- /dev/null +++ b/info/maketexwork/ex-04-03 @@ -0,0 +1,25 @@ +% 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} |