Consider the following statements.

(A) The sum of two prime numbers is a prime number.

(B) The product of two prime numbers is a prime number.

Which of these statements is always correct?

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Neither A nor B

Both A and B

answer is A.

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Detailed Solution

Given statement are,
(A) The sum of two prime numbers is a prime number. (B) The product of two prime numbers is a prime number.
We know that the sum and the product of two prime numbers is not necessarily a prime number.
Example,

3 + 5 = 8

not a prime number.

3 \times 5 = 15

not a prime number.
Hence, the correct option is 1.

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