Ah, but this is the heart and soul of mathematics. Taking a theorem that is known for one setting, and seeing if it works in some other setting as well. Can you

Ah, but this is the heart and soul of mathematics. Taking a theorem that is known for one setting, and seeing if it works in some other setting as well. Can you prove it, or alternatively find a counterexample? There is a version of it that always works in "complex numbers" (or more precisely in "integer rings" inside the complex numbers), but unfortunately it requires a long technical digression to state precisely. (And, once you've developed all the language, it's trivial to prove.) This Wikipedia page discusses it: https://en.wikipedia.org/wiki/Algebraic_number_theory https://en.wikipedia.org/wiki/Algebraic_number_theory