TIL about prime-generating quadratic polynomials, as well. I feel like I'm destined to use one in code now. The logic behind e^π√163^ looks like more than I can absorb today, haha.

Because I find Wikipedia doesn't explain it in the best way, a quadratic field like ℚ[√-n] is literally just the field of rationals with √-n and all the new numbers you can make with it added.