Greatest prime factor

Define the greatest prime factor function $\mathrm{gpf}\colon \mathbb{Z}^+ \rightarrow \mathbb{Z}^+$ by

$\mathrm{gpf}(n) = \{\mathrm{greatest \hspace{2pt} prime \hspace{2pt} factor \hspace{2pt} of \hspace{2pt}}n\}.$

• Gpfplot,n=0..100.png

  Plot of $\mathrm{gpf}$ for $n=0,\ldots,100$.

• Gpfplot,n=0..1000.png

  Plot of $\mathrm{gpf}$ for $n=0,\ldots,1000$.

• Gpfplot,n=0..10000.png

  Plot of $\mathrm{gpf}$ for $n=0,\ldots,10000$.