FC4 = Fedora Core 4, it's just another distribution of linux.
Your primary name server is whatever is assigned by your DHCP server on the Internet side of your router. If you see your router's IP address in /etc/resolv.conf, try removing the line with it listed. There are probably three lines, including your router, so, once you've removed your router, you'll be left with two lines, one that says "search ..." and another that says "nameserver x.x.x.x" then try surfing. I hope this clarified my previous post well enough, if not, just ask again.