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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
commite0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree60335e10d2f4354b0674ec22d7b53f0f8abee672 /info/maketexwork/ex-04-05
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+% Format: Lollipop
+\DefineHeading:Chapter
+ breakbefore:yes whiteafter:12pt
+ line:start PointSize:20 Style:bold
+ literal:Chapter Spaces:1 ChapterCounter
+ line:stop
+ vwhite:36pt
+ line:start PointSize:24 Style:bold title
+ line:stop
+ vwhite:24pt
+ Stop
+\DefineHeading:Section
+ whitebefore:{20pt plus 2pt} whiteafter:14pt
+ line:start PointSize:14 Style:bold
+ ChapterCounter . SectionCounter
+ Spaces:1 title line:stop
+ label:start ChapterCounter . SectionCounter
+ label:stop
+ Stop
+\GoverningCounter:Section=Chapter
+\AlwaysIndent:no
+\Distance:parskip=12pt
+\Distance:hoffset=.75in
+\Distance:voffset=.5in
+\Start
+\Chapter Unsolved Problems
+
+\Section Odd Perfect Numbers
+
+A number is said to be {\it 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 {\it odd\/} perfect numbers is
+an open question.
+\Stop