I am a layperson but... You could try writing out an addition table and a multiplication table and see if you can find patterns and differences (you can). The

I am a layperson but... You could try writing out an addition table and a multiplication table and see if you can find patterns and differences (you can). The Sieve of Eratosthenes is good. I asked ChatGPT what branch of mathematics high school algebra is and it suggested the field theory of real numbers. I have since been looking at groups and fields with some enjoyment. I made a video that I thought of as a play on Ulam's Spiral [2][3] a while back. Instead of marking primes I marked points of the (square) spiral that were x mod n 0. It is sort of silly and maybe a bit confusing. [1] https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes [2]https://en.wikipedia.org/wiki/Ulam_spiral https://en.wikipedia.org/wiki/Ulam_spiral https://www.youtube.com/watch?v=fRzv1SXKCY8 https://www.youtube.com/watch?v=fRzv1SXKCY8 (my video play it slowed down maybe)