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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..
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Are composite numbers 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.
Is the set of odd numbers closed under addition?
no
Under which operation are natural numbers closed?
Addition.
Are rational numbers closed under subtraction?
Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.
Is the sum of rational numbers always rational?
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.
Are prime numbers always closed under addition?
No.
What is closed and not-closed under addition?
The set of even numbers is closed under addition, the set of odd numbers is not.
Why are odd integers closed under multiplication but not under addition?
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
When are complex numbers closed under addition?
Quite simply, they are closed under addition. No "when".
Are composite numbers 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.
Is a rational number closed under addition?
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
Is the set of real numbers closed under addition?
Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.
Are real numbers closed under addition?
yes because real numbers are any number ever made and they can be closed under addition
Are rational numbers closed under division multiplication addition or subtraction?
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.
Are prime numbers closed under subtration?
No.
Are the prime numbers closed under multiplication?
No.
Is the set of odd numbers closed under addition?
no
