Infinite Primes Proof is complete ?
The proof to infinite prime numbers is saying that if you create new
number N from factoring the known finite prime series(P1*P2..*Pn) and
add 1 ,you will have number that will be new prime ,or be factored
from new prime that is not included in the finite prime series
My question is ,how do I prove that the N cannot be factored from
P1*P1*P2*... which one or more of the primes from the finite series appears more than
once,the proof is talking only about the case that P1,P2,..Pn appears
once in the factoring series but what about the option that it appears
more than once ? .