[throwaway525142]

> you get the natural numbers, the integers, ... but even before the natural numbers come the prime numbers. Primes are the most fundamental set of numbers in mathematics, from which you can generate the natural numbers.

I don't really see how you can define prime numbers before the natural numbers.

[slx26]

The set of natural numbers contains the prime numbers. The set of prime numbers doesn't contain the natural numbers, but every natural number > 1 can be generated/described as a product of prime numbers (fundamental theorem of arithmetic).

Maybe my terminology was incorrect, I'm not good at maths, but that's what I meant.