I'm having the same problem as some of the other folks. Limewire can't connect because it's blocked by a firewall. My firewall is currently turned off. Here's my information:

1. OS version? Mac OSX 10.4.8
2. What firewalls you have? Mac
3. How much ram? 768mb
4. Hard Disk space available? Around 7 or 8 gigs
5. Connection type? Wireless broadband
6. Modem & router brand name & model numbers? Modem: Navini, 2.5-2.6 LMXE. Router: Linksys, WRT54G
7. Where are you trying to connect from? My apartment
8. What version of LimeWire (LW) & Java do you have? Limewire 4.12.6, Java 1.5.0_06
9. Who is your ISP provider (Internet Service Provider)? i29 Wireless
10. Do this simple test for us. Using your browser go here: http://www3.limewire.com:6346/ The page should say 'Your test worked!'. What happens when you go there? The page would not load (timed out). I've tried other ports as well, with the same results.
11. Are you sharing the connection with other computers or p2p sharing programs? If yes, please give details of set up. No.
12. Is this a your 1st try at LW or is this a new problem with an experienced user. I've used Limewire for years, this is a new problem.
13. Do you see a brick wall in front of the blue world icon at the bottom of LW's interface? Yes.