Hello there
Sorry to hear about the hassles you are having, quick couple of questions and a suggestion.
Have you moved or added any hardware to your system lately. Basically I am wanting to find out if what if anything has changed in the environment of your system.
Now for the suggestion. Could you test each of the memory sticks as per the Memtest86+ guide in my sig. Use the 5.2 version from the download page. Basically I would like to confirm what you have found out but using a more robust test than what you originally used if you do not mind. This will allow us to work out where the issue is located. Namely is it memory slots that have died or become damaged or memory sticks - plus we have the memory controller on the CPU that may be playing around.
To help us help you - please provide as much information about your system and the problem as possible.