No.
No.
No. The product of two primes cannot, by definition, be a prime.
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.
Quite simply, they are closed under addition. No "when".
No.
No.
No.
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..
No. The product of two primes cannot, by definition, be a prime.
No, they are not. You can add two composite numbers, 15 and 14 for example, and get a sum, 29, that is prime.
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.
Prime Numbers under 6 are 2,3,5
No. Closure under multiplication is a property of a set of numbers. It requires that if x and y are elements of the set (not necessarily different), then x*y is also an element of the set. If the set consists only of the number 5, ie S = {5}. Since 5 belongs to S, closure would require that 5*5 belongs to the set. It clearly does not and so the set cannot be closed.
There are 34 prime numbers under 140.