I’ve been wondering why people think Prime numbers are so special. To me they are only an inconsistency within the logic of how Multiplication works, meaning all that Multiplication is, is a short form for Addition with the “Same Number!†An example:
(2 * 3) = (2 + 2 + 2) = 6
Again:
(3 * 7) = (3 + 3 + 3 + 3 + 3 + 3 + 3) = 21
It’s much easier and convenient to write:
(3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3) as (3 * 10) it’s easier to read and calculate.
Multiplication’s greatest strength is also its greatest weakness, which is the fact that it’s the Same Number being used again and again in the process Addition. Meaning the short from of (3 * 7) can be expressed in Addition as either (7 + 7 + 7) or (3 + 3 + 3 + 3 + 3 + 3 + 3). To me all that a Prime number is, is a number that has no short form! The short form of 6 is (3 * 2), the short from of 24 is either (2 * 12), (3 * 8), (4 * 6), etc. It’s because of the limits within Multiplication that it’s impossible to create 3 as the only numbers you can Multiply with are 1 and 2 with is (1 * 2) = 2 likewise you can’t make 2 from 1, (1 * 1) = 1, a problem that doesn’t exist when Addition is written in its long form.
This, to me, is an inconsistent property inherent in the logical formula of Multiplication. There are no such things as ‘Prime Numbers’ with addition, as all numbers come from 1 even the number 2 is just a short form of (1 + 1), 3 = (1 + 1 + 1), etc. So to then call numbers which have no short form in Multiplication ‘Primes’ seems to be giving them an importance that is only bestowed because of a fundamental weakness in Multiplication when dealing with Natural Numbers, seems illogical. I’m not saying this weakness doesn’t have its uses, cryptology being one of the most important from a world perspective. But this is a use that is possible because of the flawed nature of multiplication.
This is only a flaw in Multiplication, as Division can create any number. To create 7 we just do (21 / 3) = 7. Well you could say you’ve just created a Prime with the help of another Prime. Not true, 3 and 7 are Natural Numbers and only considered Primes because you can’t create them in Multiplication. In the first 10 numbers there are 5 Primes because of the limited number of Numbers available. Then the range 11 – 20 has 4, 21 – 30 and 31 – 40 each only have 2, as you obtain more numbers to Multiply with the frequency of Primes reduce. They don’t vanish completely as the fundamental flaw in Multiplication scales (or lessens depending on how you want to view it) with the number of Numbers available for its use.
So to sum it all up: Prime Numbers are only the correction to an Error inherent in Multiplication. While this error has its uses (cryptology) are these numbers really “Special†or just “Special†in relation to Multiplication?