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		676 bytes added
	
		,  18:48, 31 January 2010
	
 
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|  | ===Example=== |  | ===Example=== | 
|  |  |  |  | 
| − | <math>802701 = 9 \cdot 89189 = p_2^2p_{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>\begin{array}{lllll} | 
|  | + | 802701 | 
|  | + | & = & 9 \cdot 89189 | 
|  | + | & = & 2\!:\!2 ~~ 8638\!:\!1 | 
|  | + | \\ | 
|  | + | 8638 | 
|  | + | & = & 2 \cdot 7 \cdot 617 | 
|  | + | & = & 1\!:\!1 ~~ 4\!:\!1 ~~ 113\!:\!1 | 
|  | + | \\ | 
|  | + | 113 | 
|  | + | &   & | 
|  | + | & = & 30\!:\!1 | 
|  | + | \\ | 
|  | + | 30 | 
|  | + | & = & 2 \cdot 3 \cdot 5 | 
|  | + | & = & 1\!:\!1 ~~ 2\!:\!1 ~~ 3\!:\!1 | 
|  | + | \\ | 
|  | + | 4 | 
|  | + | &   & | 
|  | + | & = & 1\!:\!2 | 
|  | + | \\ | 
|  | + | 3 | 
|  | + | &   & | 
|  | + | & = & 2\!:\!1 | 
|  | + | \\ | 
|  | + | 2 | 
|  | + | &   & | 
|  | + | & = & 1\!:\!1 | 
|  | + | \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=== |