★ New blog post: Otherkin-friendly CAPTCHAs, revisited. Some folks have asked me how I make CAPTCHAs respect my non-human identity. The short answer is I copied code from @[email protected]. The longer-ish answer is this. https://beeps.website/blog/2023-04-27-otherkin-friendly-captchas-revisited/
@emilvolk That's going to be easy if you don't exclude 0 in your set of integers.
Let's begin:
These are enough to contradict the assertion but we can go further like a real mathematician and write the following answer:
(a,0,a) and (0,a,a) are the solutions with a ∈ ℤ (any positive/negative number) for n ≥ 3.
Thus, the assertion is false as we have proven there are solutions in ℤ (the set of all integers) where xn + yn = zn holds true for any n ≥ 3.