Random outcome on multiple devices

[Archangel]

Here is my thought:
I can use my MeLabs programmer to generate a unique serial number for each PIC that I program. I understand this is a straight forward process. I would like to my program to read this unique serial number and use it as the seed for the random number generation source.

I think this would be the same as giving the PIC a fixed seed in the code. You might try a subprogram to save the last number used and then shutting it down. At startup have it read that value from eeprom.