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User:Jon Awbrey/SEQUENCES (view source)
Revision as of 18:48, 31 January 2010
, 18:48, 31 January 2010Undo revision 107256 by Jon Awbrey (Talk)
===Example===
===Example===
<math>802701 = 9 \cdot 89189 = p_2^2 p_{8638}^1</math>
: <math>802701 = 9 \cdot 89189 = \text{p}_2^2 \text{p}_{8638}^1</math>
<math>\text{Writing}~ (\operatorname{prime}(i))^j ~\text{as}~ i\!:\!j, ~\text{we have:}</math>
: <math>\text{Writing}~ (\operatorname{prime}(i))^j ~\text{as}~ i\!:\!j, ~\text{we have:}</math>
<math>\begin{array}{lll}
: <math>\begin{array}{lllll}
802701 & = & 2\!:\!2 ~~ 8638\!:\!1
802701
& = & 9 \cdot 89189
& = & 2\!:\!2 ~~ 8638\!:\!1
\\
\\
8638 & = & 1\!:\!1 ~~ 4\!:\!1 ~~ 113\!:\!1
8638
& = & 2 \cdot 7 \cdot 617
& = & 1\!:\!1 ~~ 4\!:\!1 ~~ 113\!:\!1
\\
\\
113 & = & 30\!:\!1
113
& &
& = & 30\!:\!1
\\
\\
30 & = & 1\!:\!1 ~~ 2\!:\!1 ~~ 3\!:\!1
30
& = & 2 \cdot 3 \cdot 5
& = & 1\!:\!1 ~~ 2\!:\!1 ~~ 3\!:\!1
\\
\\
4 & = & 1\!:\!2
4
& &
& = & 1\!:\!2
\\
\\
3 & = & 2\!:\!1
3
& &
& = & 2\!:\!1
\\
\\
2 & = & 1\!:\!1
2
& &
& = & 1\!:\!1
\end{array}</math>
\end{array}</math>
: <math>\text{So the rote of 802701 is the following graph:}\!</math>
:{| border="1" cellpadding="20"
| [[Image:Rote 802701 Big.jpg|330px]]
|}
: <math>\text{By inspection, the rote height of 802701 is 6.}\!</math>
===JPEG===
===JPEG===