I think that should be all of them, but if you want to check, there are references on the website where we keep all the numbers detailing how to check any number, or to list all of them if you want an arbitrarily large pile or have infinite time on your hands. :)
I don’t know if prime factorization is the correct English word for it but the operation I am referring to takes a (non zero) natural number and returns a multiset of primes that give you the original number when multiplied together.
Example: pf(12)={2,2,3}
if we allowed 1 to be a prime then prime factorization cease to be a function as pf(12)={1,2,2,3} and pf(12)={1,1,1,1,2,2,3} become valid solutions.
I think that should be all of them, but if you want to check, there are references on the website where we keep all the numbers detailing how to check any number, or to list all of them if you want an arbitrarily large pile or have infinite time on your hands. :)
Doesn’t that miss out n=1?
1 being prime breaks a lot of the useful properties of primes, such as the uniqueness of prime factorization.
Isn’t that function listing all the numbers? Not only the primes?
I don’t know if prime factorization is the correct English word for it but the operation I am referring to takes a (non zero) natural number and returns a multiset of primes that give you the original number when multiplied together. Example:
pf(12)={2,2,3}if we allowed 1 to be a prime then prime factorization cease to be a function aspf(12)={1,2,2,3}andpf(12)={1,1,1,1,2,2,3}become valid solutions.