Further testing, more information. I disabled Core 3, and instead of crashing during the Prime95 test in 5 minutes, I let it run for an hour with no issue. Temps didn't get over 70 C, everything looks good. I am positive Core #3 is corrupted and needs to be disabled whenever my computer is on.

Sadly, I wasn't able to receive one on one assistance, but thanks to this site and many others I was actually able to diagnose and get past a serious computer issue for the first time (hopefully I am right..). I want to say thanks for that, and hopefully all of this information can help someone else in the future.

Good luck to everyone else out there.