There are memtest programs that run in a preboot environment, i.e. you boot into them. For a quicker look, System Information displays the result of the power-on-self test. It's not extensive, but gives a quick overview. It should say "OK" for each RAM stick.
Apple Hardware Diagnostics used to also have a RAM test mode, but the newer ones don't show too many details to the user, so I don't know if that'll work.
The industry standard for memory testing is memtest86
http://www.memtest.org
Here's its wiki page
https://en.wikipedia.org/wiki/Memtest86#Description
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That could seem like a memory error. I'm not great at parsing these though, so I'm unsure which DIMM it is. Intuitively, DIMM 4 would seem the most logical. Maybe System Information shows it (see earlier post).
Interesting that your guest account didn't show problems though if it's the RAM - Could be that you didn't load enough onto the RAM when you were logged into the guest account though