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# Is the set of prime numbers well defined or not?

Updated: 4/28/2022

Wiki User

6y ago

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.

Wiki User

6y ago

Wiki User

6y ago

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.

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Q: Is the set of prime numbers well defined or not?
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### Is the set of prime numbers are well-defined or not why?

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

yes

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

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.

### 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.

### Is the set of prime numbers are well defined why?

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

### What set has a specific set of numbers?

Any well-defined set of numbers.

### Is the set of even numbers greater than 100 a well defined set?

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

### Is the set of prime numbers well-defined or not?

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.

### If a is a prime number how many members of the set are also prime?

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.

### How do you find the least common multiple that are prime?

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

### What are not well defined elements of a set?

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.

### What are not well defined of a set?

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.