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MySQL Connection Limits, Processor Limits
HostGator allows a maximum of 25 simultaneous MySQL connections per cPanel on shared servers. This limit can be raised for VPS and dedicated servers.
The 25 simultaneous database connections should be sufficient. Most database connections open and close within a fraction of a second. A forum with 500 active members will rarely hit this 25 simultaneous connections.
The SQL server will timeout after 60 seconds of inactivity for Linux hosting (shared and reseller). On Windows shared hosting, the MySQL Server will timeout after 30 seconds of inactivity. VPS and dedicated servers can have different limits.