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.
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2 is the only member of both the set of all prime numbers and the set of all even numbers.
The set of even numbers contains the prime number, 2. The set of composite numbers contains infinitely many odd numbers.
The set of all even counting numbers is infinite. There's not enough room to list them here.
The set is well defined. Whether or not a given integer belongs to the set of prime numbers is clearly defined even if, for extremely large numbers, it may prove impossible to determine the status of that number.
A set of even numbers cannot be relatively prime. They are all divisible by 2.