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Directory:Jon Awbrey/Papers/Riffs and Rotes (view source)
Revision as of 04:04, 3 February 2010
, 04:04, 3 February 2010→Idea
\text{p}_6 = 13, &
\text{p}_6 = 13, &
\ldots
\ldots
\end{matrix}</math>
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The positive integer <math>i</math> is the ''index'' of the prime <math>\text{p}_i.</math>
Let <math>I(n)</math> be the set of indices of primes that divide the positive integer <math>n.</math>
Let <math>j(i, n)</math> be the number of times that <math>\text{p}_i</math> divides <math>n.</math>
The prime factorization of a positive integer <math>n</math> can be written in the following form:
{| align="center" cellpadding="6" width="90%"
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<math>\begin{matrix}
n & = & \prod_{i \in I(n)} \text{p}_{i}^{j(i, n)}
\end{matrix}</math>
\end{matrix}</math>
|}
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