diff options
Diffstat (limited to 'Master/texmf-doc/doc/english/make-tex-work/examples/ex-04-05')
-rw-r--r-- | Master/texmf-doc/doc/english/make-tex-work/examples/ex-04-05 | 42 |
1 files changed, 42 insertions, 0 deletions
diff --git a/Master/texmf-doc/doc/english/make-tex-work/examples/ex-04-05 b/Master/texmf-doc/doc/english/make-tex-work/examples/ex-04-05 new file mode 100644 index 00000000000..cccb0e95601 --- /dev/null +++ b/Master/texmf-doc/doc/english/make-tex-work/examples/ex-04-05 @@ -0,0 +1,42 @@ +% 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 |