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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