Is it bad that it runs for 7 hours, gets 7 passes and 4625 errors?

Unfortunatly, yes. That error number should be 0. Make sure to elliminate both individual memory dimms and the slots as the problem before calling it solved.

Is there a BIOS setting I might possibly change to make it work?

You might want to check settings relating to CAS latency. Should be a 3 digit string of numbers, like 3-2-2. Check the memory specs to see what it should be, and ensure it's set right.