Since all other whole numbers (except 0) can be produced by multiplying together primes – they must be considered fundamental.
(1), 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 &etc
Although billions of them have so far been found (nowadays via computational sieving), they appear to be randomly distributed. As yet there’s no proven mathematical method which can accurately predict where the next one will be.
Also see: The Riemann hypothesis
Note: The true nature of randomness itself is also under discussion.