limit based on count(*)

Hello List,

I have a query that counts how many time an event occurs in our event_log these
are grouped by the serial number of the device that created the event. I would
like to show only the rows where the number of events exceeds some threshold.

simplified query:
select serial_no, count(*) as "restarts" from event_log where event_mesg ilike 'system sta%' and event_date >
current_date- 7 
group by serial_no order by restarts;

So what I would like to see is only the serial_nos that had more than X restarts.

Any ideas would be appreciated.

--
Stephen Clark