Study guides

☆

Q: Is the set of prime numbers are well defined why?

Write your answer...

Submit

Still have questions?

Continue Learning about Basic Math

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.

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

Related questions

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.

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. 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.

People also asked