Studying Mathematics Thread

[Kernel Sohcahtoa]

Prime numbers are natural numbers p so that:

p>1; If a natural number n>0 divides exactly into p, then n=1 or n=p

Another way of saying this is that each p has exactly two factors among the natural numbers.

So why isn't 1 allowed to be a prime number? It's because we then wouldn't have unique factorization into primes for natural numbers. For example:

12 = 2 * 2 * 3 = 2^2 * 3

is a unique factorization. But if we allow 1 to be prime, we have

12 = 1 * 2^2 * 3 = 1^2 * 2^2 * 3 = 1^3 * 2^2 * 3 =...

I think you my like Kernel Sohcahtoa's posts around here Rob He's the local math nerd. In a good way.

I appreciate your comment, Hammy; however, I'm no where near skilled enough at math to be considered a nerd.  At best, I'm just some guy who finds math interesting, and I am very appreciative of those people who are talented at it.