Best Answer

no, not all prime numbers are closed under addition.

why?

because, when you add 2 prime numbers you will not always get a Prime number.

example:

5+3= 8

5 and 3 are prime numbers but their sum is 8 which is a composite number..

Study guides

☆

Q: Are prime numbers closed under addition?

Write your answer...

Submit

Still have questions?

Continue Learning about Basic Math

No, they are not. You can add two composite numbers, 15 and 14 for example, and get a sum, 29, that is prime.

Addition.

no

Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.

Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.

Related questions

No.

The set of even numbers is closed under addition, the set of odd numbers is not.

The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.

Quite simply, they are closed under addition. No "when".

No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.

No, they are not. You can add two composite numbers, 15 and 14 for example, and get a sum, 29, that is prime.

Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.

yes because real numbers are any number ever made and they can be closed under addition

No.

No.

Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.

Yes.

People also asked