One of our linux servers today experienced problems opening outbound requests. I've reviewed this answer, Increasing the maximum number of tcp/ip connections in linux and it appears as though we are well within the maximum limits.
At the time, netstat -an showed approximately 700 established connections. Any new socket connections would fail, but nothing would be written to /var/log. All connections are long-term, and usually open for several hours at a time.
Is there any logging that would help determine what configuration parameter we are bumping against?