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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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Earn +20 ptsQ: Are prime numbers closed under addition?
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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.
Under which operation are natural numbers closed?
Addition.
Is the set of odd numbers closed under addition?
no
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.
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