1 to 4,294,967,296
For applications such as web servers that might receive several connection requests, the default value might be increased to match the incoming rate.
Do not increase the parameter to a very large value. The pending TCP connections can consume excessive memory. And if an application is not fast enough to handle that many connection requests in a timely fashion because the number of pending TCP connections is too large, new incoming requests might be denied.
Note that increasing tcp_conn_req_max_q does not mean that applications can have that many pending TCP connections. Applications can use listen(3SOCKET) to change the maximum number of pending TCP connections for each socket. This parameter is the maximum an application can use listen() to set the number to. This means that even if this parameter is set to a very large value, the actual maximum number for a socket might be much less than tcp_conn_req_max_q, depending on the value used in listen().