The set of primes would be one. The set of Mersenne primes is another. The set of all primes below 50 is another. And so on.
A set which includes all primes, and only them, is the set of numbers having exactly 2 factors.
Chat with our AI personalities
2 is the only member of both the set of all prime numbers and the set of all even numbers.
Prime numbers have only 2 factors and their set is not well defined because they do not follow an orderly mathematical pattern.
A prime number is any number that only has only one and itself as factors. By definition even numbers have a factor of two. Therefore the only even number that is prime is the number 2.
It belongs to the set of prime numbers because it has only two factors which are itself and one.
1. As long as there are two prime numbers in a set, the only common factor for the set will be 1.