You may test these and see whether it passes some or all of them.
Memtest only test memory fault, it tests CPU, system very lightly. (You said it passed, so don't do this).
SuperPI 32 M - Test CPU, memory, system together, takes about 30 min. Record the time score.
3Dmark 01 - take about 5 - 10 min. Test CPU, memory, system, video. Report the score.
3Dmark 03 - take about 5 - 10 min. Test CPU, memory, system, video. Report the score.
If it passes all these, it is basically stable (cannot claim totally stable under heavy load).
Report what you get from them first (all take less than an hour to do).
If it passes above, then you may try these each for about 2 - 4 hour, final test should be 12+ hours on each.
Prime95 small FFT - mainly testing CPU and cache
Prime95 large FFT - mainly testing CPU, cache, some memory
Prime95 Blend - test CPU, cache, memory and system bus, chipset