Newbie with potential ECC protection

[psgama]

***ATTEMPT THE CHALLENGE BELOW*** SOLUTION IS COUPLE POSTS DOWN

I am a hobbyist of Reverse Engineering, for software and hardware. I am not a programmer by any means, so this may be a basic problem.
Took me about 12 hours to solve really digging in. This can be solved using human pattern recognition.

I have a small table of valid Device ID and serial numbers the challenge is to determine the function that makes them valid.
The Serial check function is being performed in the hardware of a standalone device. Therefore no RE using OllyDBG or WinDBG possible. Entirely mental exercise.


ID SN
1029679 8958024
1029720 8993161
1029978 9214267
1030639 8923744
1033030 8401831
1033109 8469534
1033659 8940884
1033767 9033440
1035843 9098572
1035899 9146564