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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.

Q: List the set of even prime numbers?

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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.

Related questions

2 is the only member of both the set of all prime numbers and the set of all even numbers.

There is only one even prime number, which is 2. Every other even numbers is divisible by 2, as well as by 1 and itself, so no other even number can be a prime number. Thus, the entire set of even prime numbers is the number 2.

The set of even numbers contains the prime number, 2. The set of composite numbers contains infinitely many odd numbers.

The set of prime factors of the numbers from 1 to 15,000 would be the set of prime numbers between 1 and 15,000. The link below has a list of the first 10,000 prime numbers, so if you take the primes less than 15,000, you will have the set of prime factors of the first 15,000 numbers. For prime factors of individual numbers, check the related question, "What are the prime factors of the numbers from 1 to 200?" Also check for WikiAnswers questions in the form of "What are the prime factors of __?" and "What are the factors and prime factors of __?"

The set of all even counting numbers is infinite. There's not enough room to list them here.

The LCM of a set of prime numbers is their product.

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.

Prime factorization and the Euclidean algorithm

There is an infinite set of prime numbers.

A set of even numbers cannot be relatively prime. They are all divisible by 2.

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.

There is no special name for this set, so just call it "the set of prime numbers from 1-100".There is no special name for this set, so just call it "the set of prime numbers from 1-100".There is no special name for this set, so just call it "the set of prime numbers from 1-100".There is no special name for this set, so just call it "the set of prime numbers from 1-100".