aekruse

So I am also not a mathematician, but I have discovered something similar. I split the composite numbers up by their prime factorization. So obviously primes are P1. Any number created by multiplying two primes together (i.e. 4, 6, 9) is P2. Any number created by multiplying three primes together (i.e. 8, 12, 14) is P3...and so forth. So now if you take the first (x) prime numbers and define a maximum P(n), you will only be able to create a finite amount of numbers (they are not consecutive). What is interesting is that you can determine how many numbers can be created. Again I'm not a mathematician so I'm not sure the proper notation, but what I have discovered is that the amount of numbers that can be created by specifying set amount of primes (x) to use and a maximum P(n) can be represented as: x(n)/n! or if you use http://www.wolframalpha.com (pochhammer x,n)/n!