There is no doubt that Heureka could create a computer program to find solutions for this math puzzle.
This would take hours to write. I took an introductory programming class, and know enough to say there is nothing simple about doing it. It’s not a simple iterative algorithm. It’s more complicated than a program to solve interest rate problems; you can do those on a spreadsheet.
Anyway, I think it is unlikely Heureka spent the time to write a program to do this. Here’s a solution not included in his list.
75 * 8 - (100 + 9) * (4 - 1) = 273
A computer program would have found this solution in a blink.
The reason you think he did, is because you are the Blarney Banker who solves interest rate and finance problems by typing numbers in a computer. Any high-functioning baboon can do that. You never solve anything. You just present answers given to you by your computer. Even then you are often wrong. You can’t help it. You are not even a high-functioning baboon – you’re an unethical petty-minded banker, who was never made obsolete, because you never had any real functional purpose in the first place.
Heureka is a "Mozart" of mathematics. For him, these are variations on a theme of easy numbers -- an impromptu he could do while napping. Maybe he did. Like HSC said, “. . . we slove (sic) our problems best in our sleep.”
You should try hibernating for 20 years. Maybe it will help. Probably not, but you’d be known as Rip van Blarney Banker.
GA