Bad power supply or bad caps on motherboard will cause memory errors by giving the RAM out of spec voltage spikes or by allowing noise and/or EMI into the power for the RAM.
Without an oscilloscope the only thing you can do to check for this is visually inspect the motherboard capacitors and [inside the power supply] check the caps and for signs of overheating parts.
NOW: In addition to memory Errors those things above WILL also cause No-BOOT, Re-BOOT, BOOT-Loops, and Crashes.
That said:
6 errors in 593 passes is like nothing. -> NOT likely to be causing your stability problems.
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