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Well, there is a clear definition, and at least in theory you can always determine whether a number is a primer number or not, so I would say, yes.

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The set is well defined; even if for some very large numbers it may not be easy to determine whether they are prime or not.

Q: Is the set of prime numbers well defined or not?

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Yes because they all have only 2 factors which are themselves and one

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.

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".

Yes, it is a set of prime numbers.

rational and prime numbers

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Prime numbers have only 2 factors and their set is not well defined because they do not follow an orderly mathematical pattern.

yes

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.

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.

Yes because they all have only 2 factors which are themselves and one

Any well-defined set of numbers.

Yes. Even numbers greater than 100 is a well defined set. (Although it is a set with an infinite number of members)

Well, there is a clear definition, and at least in theory you can always determine whether a number is a primer number or not, so I would say, yes.

You need to think about what you are asking-- your question is not well-defined. What set is "the set"? Define "the set" and you may get an answer.

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

Elements that have to be defined by personal judgement. Such as the set ofgreat songs is not well-defined. But the set of the English alphabet is well-defined.

Elements that have to be defined by personal judgement. Such as the set ofgreat songs is not well-defined. But the set of the English alphabet is well-defined.