Update:
After I ran Memtest the last time (with both chips in) the computer booted up and didn't crash. After it passed the 10 minute threshold, I got curious and wanted to see how long it would last. I didn't switch it off, and as it turns out, it lasted a couple of days without crashing. It probably would have lasted to the end of its hardware life, but the geniuses that run the electrical company here decided to turn the power off for a day. When it came back on and I booted the computer back up, it was back to its own schedule of BSODs every 5 minutes.
I didn't really have many options, so I took out a RAM chip, put in my Memtest disc, and rebooted. Sadly, as with before, I could not enter the boot menu, even after many, many attempts. I hear it has something to do with having a USB keyboard. I also hear the way to fix that is to get into the BIOS and enable the USB setting. Now, see, I'd do that, but to get into the BIOS, I actually need the keyboard to work in the first place, so that's probably not gonna happen.
After getting bored of rebooting to get the keyboard to work, and it never doing so, I loaded up into safe mode to see if I could at least get internet access to get some of my work done. Surprisingly, it's not crashing here. So until I figure out how to load up the boot menu, I have a few questions:
-What would cause a problem such as this to, once every hundred startups, not produce BSODs until shut down?
-Can it still be a memory problem if safe mode works fine? If not, should I focus my attention on maybe some leftover drivers from the old hardware that may be causing issues?
Thanks in advance.