Question

Which of the folllowing is not a pair of twin primes?

• A. $5,7$
• B. $17,19$
• C. $23,29$
• D. $41,43$

Answer 1

The correct option is C

$23,29$

Explanation for correct option:

Option C: $23,29$

Twin Prime: Two prime numbers are said to be twin primes if they differ by $2$.

Difference of $23,29$ is $29-23=6$, not $2$.

Hence, $23,29$ are not twin primes.

Hence, option C is the correct answer.

Explanation for incorrect options:

Option A: $5,7$

Difference of $5,7$ is $7-5=2$.

Hence, $5,7$ are twin primes.

Hence, option A is the incorrect answer.

Option B: $17,19$

Difference of $17,19$ is $19-17=2$.

Hence, $17,19$ are twin primes.

Hence, option B is the incorrect answer.

Option D: $41,43$

Difference of $41,43$ is $43-41=2$.

Hence, $41,43$ are twin primes.

Hence, option D is the incorrect answer.