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, 12:06, 3 February 2010
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| \end{matrix}</math> | | \end{matrix}</math> |
| |} | | |} |
| + | |
| + | The prime factorization of a positive integer <math>n</math> can be written in the following form: |
| + | |
| + | {| align="center" cellpadding="6" width="90%" |
| + | | <math>n ~=~ \prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)},</math> |
| + | |} |
| + | |
| + | where <math>\text{p}_{i(k)}^{j(k)}</math> is the <math>k^\text{th}</math> prime power in the factorization and <math>\ell</math> is the number of distinct primes dividing <math>n.</math> |
| | | |
| Let <math>I(n)</math> be the set of indices of primes that divide the positive integer <math>n.</math> | | Let <math>I(n)</math> be the set of indices of primes that divide the positive integer <math>n.</math> |