Asides from doing what Idontcare just recommended, there's not much you can do unless you run something like Folding@home for a few weeks straight or IntelBurnTest (I.B.T.). As far as I know of IntelBurnTest will allow you to set the number of "runs" the program will go through to thoroughly test your CPU.
Some warnings I will give:
1) Be sure you have plenty of cooling power for the CPU. I.B.T. will make your temps skyrocket if you aren't too careful. I would recommend opening a window while you perform the tests.
2) Be sure to have a lot of RAM. Depending on the test you tell I.B.T., the software will consume a lot of RAM (if you choose the most extreme option). I had 4 GB of RAM go down to 2-300MB by the time the I.B.T. was running.
3) It will take a while to run through one "step". A friend's overclocked q9650 took over 40 seconds to run just one step and about 20 minutes to complete a 20 step run. He figured if his CPU could run through that with no changes in the numbers (there are numbers to verify your CPU is running very stable), then his overclock was stable.
Other than that you will have to play around with some benchmarking software, games, general applications, etc. before you can make that determination, although it will be very apparent once something is wrong with CPU.