primes are lowkey goated in any situation where composing numbers is the vibe

Check out the main channel @polymathematic ! Do you ever think about how 12 and water have basically the same vibe? Water is H2O, right? Water is a molecule built from more fundamental, basically indivisible objects we call atoms. The atoms come in certain flavors we call elements, and water specifically combines two of the hydrogen atoms with one oxygen. Similarly, 12 is a composite number built from more fundamental, basically indivisible numbers we call primes. The primes also come in certain flavors, and 12 is built from two twos and a three. In the same way that we have a periodic table of elements, we can imagine a periodic table of prime numbers, from which we compose the "molecules" of all the composite numbers. As an extension, what sorts of properties would a period table of the primes have? What would be the best choice for "period"? What would be some characteristics of the primes that you would highlight?