Multiple BSODs. (0x0000001e, 0x0000003b) and more.

I have been having BSOD issues for about 2 months, and have tried running memory checks, disk checks, and I can't narrow the cause down. So I'm here hoping someone can help me. I have gotten kernel power, irql, and some blank message, only error code BSODs. They occur at random times, and are quite sporadic. Please help.

BC codes are as follows.
(0x0000001e, 0x00000024, 0x1000007e, 0x00000124, 0x0000003b)
These are the only ones I have since my reformat.

Well I updated everything as you said, and it all went well, but when I updated my BIOS it turned on my 3rd core of my processor (I previously had off) and my PC wouldn't boot. It would BSOD before I even saw the Windows logo. I had to turn it off again in order to boot. So is this as obvious a sign of motherboard/CPU failure as I think it is? I also have been playing around with my RAM config (slots 1/3 and 2/4 to test sticks) and have gotten many an "IRQL" BSOD. So I appreciate your help. And would appreciate more advice on the matter. Thank you.

Unfortunately, no. All other PCs in the house are different pins =/

What is your recommended method of stress testing?

And new development, I had yet another BSOD, then rebooted only to find myself stuck in a loop of blue screens that would last for about 3-4 cycles (bsod to logon then back again) and what brought me out of a 5 bsod loop, was changing the 3rd core back on, and shutting off the 2nd. So I'm lost, because I would think that if one config works, changing it to a config that hadn't worked wouldn't bypass anything. So it may be a fluke, but it might be another sign pointing to CPU failure. Idk, just thought it was worth mentioning.