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Hi Mike,

Test the RAM outside of the OS.
Use Memtest   

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make sure you run memtest 2 full runs minimum
even them sometimes a "weak" stick can make it thru.

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Depending on how much RAM you have, it can take several hours to thoroughly test it using Memtest.

As Jim and Scott have already said, you will need to run the test multiple times (3x is strongly suggested).

When I've needed to use it, for my situation it takes 6+ hours.  It is an outstanding program for testing for faulty memory.

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Do not over-think this issue. The odds are that your sticks are good. It is common enough to have soft errors in memory, and if one occurs during the run of a memory test, you should not condemn the chip. Ideally what you would like to see in a bad stick is the same error at the same location on each repetition of the test. That would clearly indicate a hard error in that portion of the module. Unless your computer is controlling a nuclear plant upwind of my house, I would not hesitate to recommend that you stop testing now, and just use the sticks.

http://en.wikipedia.org/wiki/Soft_error