I believe it is important(though I usually only test for 3-5 hours) Couple years back I overclocked an Athlon X2 5000 BE to 3.2Ghz, I believed it was stable like that for months and the occasional program issue was just Vistas fault(probably didn't even crash a program weekly). The games I was playing at the time worked fine too, until I got Left 4 Dead. It took me days of trouble shooting, but no matter what I did Left 4 Dead wouldn't run for more than 30-45 minutes at a time, finally discovered it was my overclock. Decided to run Prime95 for the first time since I assumed it was stable, I wasn't able to pass more than an hour even after upping the voltage. Dropped my cpu to 3.1Ghz and never saw a problem again and was prime95 stable as well.
My story is similar. My Athlon 2500+ was overclocked to whatever speed the 3200+ was and it was stable enough to run windows and all of my games. I was running F@H at the time which put the CPU at 100% 24/7, so the computer would randomly crash every few days. I would sometimes wake up at night because the computer would beep every time it reset. Eventually Windows XP was so corrupt that it wouldn't even boot, so I had to reinstall it every few months.
Eventually someone got me to run Prime95 and my system couldn't even run it for 1 minute before having errors. Now I understand the significance of stability and data corruption, so I'm not happy unless the system can run any stress test for any period of time without failing.
That's also why I don't overclock my video cards... ever. "driver has stopped responding" seems to show up at the most inappropriate times. It doesn't matter how many times I test with Furmark or OCCT, there never seems to be any assurance that the video card is stable, so I just leave it at stock.
