this post was submitted on 09 Aug 2023
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[–] [email protected] 7 points 10 months ago* (last edited 10 months ago)

Yes, but not really.

With 2, the natural numbers divide into equal halves. One of which we call odd and the other even. And we use this property a lot in math.

If you do it with 3, then one group is going to be a third and the other two thirds (ignore that both sets are infinite, you may assume a continuous finite subset of the natural numbers for this argument).

And this imbalance only gets worse with bigger primes.

So yes, 2 is special. It is the first and smallest prime and it is the number that primarily underlies concepts such as balance, symmetry, duplication and equality.