If you're running windows, you can run netstat -s from a command prompt and it will tell you how many current connections you have open. If it indeed shows that many current connections you can use netstat -ab to get the Process ID of the offending process.
Did you have torrents running recently? Firewalls will normally maintain a list of open NAT (network address translation) connections for quite a while; exactly how long depends on the firewall's configuration. Unless the firewall sees a TCP FIN packet on that connection it's kept in the tracking list until the configured timeout is reached. Many torrent clients are notoriously bad at sending FIN packets to close their connections, so if you were torrenting recently and the firewall has a long timeout period then that could easily explain where all those stale connections came from.
If you owned the firewall I'd advise you to reduce the connection timeout to something sane like 10 minutes (I mean really, if a connection hasn't seen a packet in 600 seconds then it's dead, dump it from the list already!). Since you don't have any administrative control in this instance, your best bet if you're torrenting is to reduce the number of connections your client will open. Of course, if you don't run torrents ever then this advice is meaningless. Wmelon & PirateJon's advice should help you find the offending software if that's the case.
Posts
http://technet.microsoft.com/en-us/sysinternals/bb897437.aspx
You can run it right from the browser by going here:
http://live.sysinternals.com/Tcpview.exe
If you owned the firewall I'd advise you to reduce the connection timeout to something sane like 10 minutes (I mean really, if a connection hasn't seen a packet in 600 seconds then it's dead, dump it from the list already!). Since you don't have any administrative control in this instance, your best bet if you're torrenting is to reduce the number of connections your client will open. Of course, if you don't run torrents ever then this advice is meaningless. Wmelon & PirateJon's advice should help you find the offending software if that's the case.