Well, I didn't want to put you through this but it's memtest time.
If you're unaware of what memtest is, it's a program that runs via your BIOS and performs diagnostics on your rigs memory and will usually spot any big issues with it.
Option 1:
Pre-Compiled Bootable ISO (.zip)
A file to be burned to a 'bootable' disk and started through the BIOS.
Option 2:
USB Installer
If you have a USB stick available, this can usually make things much easier. I haven't used memtest in a while but I believe this program installs the necessary files to a USB drive so its available to boot through your BIOS.
You can find detailed instructions on how to setup the USB drive
here.
Source:
http://www.memtest.org/
I haven't used memtest in a while so if you're looking for instruction, I'd suggest using the official forum
here. Or maybe, one of TSG's more memtest experienced people will have some input.
As a side note: This program takes a LONG time to do its thing, I mean, start it up and leave it over night long.
If you have any further questions, fire away. I'm still placing bets on your RAM but we shall see mh?
-SJ