[vikingerik]

2 being the only even prime isn't really anything fundamentally weird. Every prime is the only divisible-by-that-number prime. 2 has nothing unique about that.

We only notice the case for 2 because our human languages happen to define divisible-by-2 as a word and concept. If our languages called divisible-by-3 "treven" or something like that, we'd think it weird that 3 was the only treven prime.

[dullcrisp]

It’s a little weird. Numbers being their own additive inverse in characteristic-2 makes for some special cases. (But I guess if we did algebra with ternary operators, 3 might be weird too.)