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author | Karl Berry <karl@freefriends.org> | 2005-12-29 00:35:06 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2005-12-29 00:35:06 +0000 |
commit | 86f6ad0f8431ad33548e4b843418630365dcd7cb (patch) | |
tree | 59533054992d6c5e40a4cdbb4004b083bdfa4b1d /Master/texmf-doc/doc/english/make-tex-work/examples/ex-10-01 | |
parent | 41ceff5a615ab4e3d46b1c94bd26d9dcf9d6c1f8 (diff) |
doc/english/m
git-svn-id: svn://tug.org/texlive/trunk@22 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-doc/doc/english/make-tex-work/examples/ex-10-01')
-rw-r--r-- | Master/texmf-doc/doc/english/make-tex-work/examples/ex-10-01 | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/Master/texmf-doc/doc/english/make-tex-work/examples/ex-10-01 b/Master/texmf-doc/doc/english/make-tex-work/examples/ex-10-01 new file mode 100644 index 00000000000..cc95fc65a9a --- /dev/null +++ b/Master/texmf-doc/doc/english/make-tex-work/examples/ex-10-01 @@ -0,0 +1,38 @@ +\input texinfo @c -*- TeXinfo -*- +@setfilename perf-inf.inf +@ifinfo + @paragraphindent 0 +@end ifinfo +@iftex + @defaultparindent=0pt @parindent=0pt +@end iftex + +@node Top, , (dir), (dir) +@chapter Unsolved Problems +@section Odd Perfect Numbers + +A number is said to be @i{perfect} if it is +the sum of its divisors. For example, 6 is +perfect because +@tex $1+2+3 = 6$, +@end tex +@ifinfo +1+2+3 = 6, +@end ifinfo +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 +@tex $$2^{p-1}(2^{p}-1)$$ where $p$ and $2^{p}-1$ +@end tex +@ifinfo +@center 2^(p-1) (2^p - 1) + +where p and 2^p - 1 +@end ifinfo +are both prime. + +The existence of @i{odd} perfect numbers is an +open question. +@bye |