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What is the intersection of the set of all prime numbers and the set of all even numbers?
2 is the only member of both the set of all prime numbers and the set of all even numbers.
Is all prime numbers are relatively prime?
Any set of prime numbers has a GCF of 1, which is the technical definition of being relatively prime but it's a bit redundant. The members of that set are already prime.
What is all the prime numbers multiplied to each other equal?
Euclid demonstrated ca. 2300 years ago that there is no last prime number. In other words, the set of prime numbers is infinite. If you multiply all numbers of an infinite set (all of them greater than 1), you would obviously get an infinite number.
Is the set of prime numbers well defined?
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.
What the meaning of subset?
A subset is a division of a set in which all members of the subset are members of the set. Examples: Men is a subset of the set people. Prime numbers is a subset of numbers.
