no, for gaming, that's not normal. stress testing maybe, but even then If my cpu went over 65c gaming and 80c stress (specially at stock speeds), i'd be looking at options like toshibitsu has suggested.
Run HWMon while gaming, and post a screenshot so we can see what's going on. I'm surprised your not throttling at those temps. maybe the CPU cooler fan isn't spinning at full speed, or as toshibitsu said, thermal paste needs replacing.