Well said, that is always how I saw it as well. The sort of math problem solving we did for fun in school but all the problems require programmatic thinking and usually eventually an algorithm. I learned so much from doing Eulers. Even basic stuff I thought I would know like the best way to get GCD

That’s mostly right, but some of them don’t require a computer. I’ve never solved one with just pencil and paper, but in some of the solution threads you will actually find pencil and paper solutions. I’m not sure if any of the later problems work like that, though.