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.
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Sure, it is defined as the set of all numbers that can't be split up into smaller numbers.
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.
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.