It is impossible to list all the prime numbers: it has been proven (2000 years ago) that there are infinitely many. In other words, there is no last Prime number.
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All prime numbers are rational.
There is no need to do prime factorization as prime numbers are already prime.
All prime numbers are not odd numbers. 2 is an even prime number, and it is the only even prime number because all other even numbers have 2 as one of their factors.
It is impossible to list the infinite number of prime numbers and composite numbers.
All the prime numbers of six are 2 and 3.