RE: Studying Mathematics Thread
February 28, 2018 at 2:10 pm
(This post was last modified: April 20, 2018 at 10:17 am by Edwardo Piet.)
(February 28, 2018 at 1:21 pm)robvalue Wrote: 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 may like Kernel Sohcahtoa's posts around here Rob
