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

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yes

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

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.

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.

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

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yes

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

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.

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.

Any well-defined set of numbers.

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

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

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.

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.

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.

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