Difference between revisions of "Greatest prime factor"
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(Created page with "Define the greatest prime factor function $\mathrm{gpf}\colon \mathbb{Z}^+ \rightarrow \mathbb{Z}$ by <center> $\mathrm{gpf}(n) = \{\mathrm{greatest \hspace{2pt} prime \hspace...") |
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| − | Define the greatest prime factor function $\mathrm{gpf}\colon \mathbb{Z}^+ \rightarrow \mathbb{Z}$ by | + | Define the greatest prime factor function $\mathrm{gpf}\colon \mathbb{Z}^+ \rightarrow \mathbb{Z}^+$ by |
<center> | <center> | ||
$\mathrm{gpf}(n) = \{\mathrm{greatest \hspace{2pt} prime \hspace{2pt} factor \hspace{2pt} of \hspace{2pt}}n\}.$ | $\mathrm{gpf}(n) = \{\mathrm{greatest \hspace{2pt} prime \hspace{2pt} factor \hspace{2pt} of \hspace{2pt}}n\}.$ | ||
</center> | </center> | ||
| + | |||
| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Greatestprimefactor,to1000.png|Graph of $\mathrm{gpf}$. | ||
| + | </gallery> | ||
| + | </div> | ||
| + | |||
| + | =Properties= | ||
| + | |||
| + | =References= | ||
| + | |||
| + | {{:Number theory functions footer}} | ||
| + | |||
| + | [[Category:SpecialFunction]] | ||
Latest revision as of 06:34, 22 June 2016
Define the greatest prime factor function $\mathrm{gpf}\colon \mathbb{Z}^+ \rightarrow \mathbb{Z}^+$ by
$\mathrm{gpf}(n) = \{\mathrm{greatest \hspace{2pt} prime \hspace{2pt} factor \hspace{2pt} of \hspace{2pt}}n\}.$
Graph of $\mathrm{gpf}$.
