Question

Which of the following is a pair of twin primes?

• A. $15,17$
• B. $41,43$
• C. $19,23$
• D. $57,59$

Answer 1

The correct option is B

$41,43$

Explaination for the correct option:

Two prime numbers are called twin primes if there is present only one composite number between the two prime numbers.

Here in 41 and 43, there is one composite number between them.

Explaination for the incorrect option:

1. In $15,17$, 15 is not a prime number. So, this pair is not a twin prime.
2. In $19,23$, There are more than two composite number. So, this pair is not a twin prime.
3. In $57,59$, 57 is not a prime number. So, this pair is not a twin prime.

Concluding statement:

Therefore, B is the correct answer.