[newbie] i586 or i686

[Franki]

Hi all,

I have a little question,,

If I download a kernel rpm, they are all listed as i586,, if I have a i686,
does that mean that I am not using a kernel for a 686?  and I am assuming
that I need to get the source and compile a new kernel to get the full
benefits of a Ppro/PII system?

are my assumptions correct?