Which of the following is not a twin prime?Choices:- 3,5 11,13 17,19 13,17Save AnswerSkip this questionFinish Exam

Break Down the Problem

1. Identify the definition of twin primes, which are pairs of prime numbers that have a difference of 2.
2. Check each option to see if they both are prime and whether their difference equals 2.

Relevant Concepts

• Prime Number: A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
• Twin Primes: Pairs of prime numbers $(p, p+2)$ where both $p$ and $p+2$ are primes.

Analysis and Detail

1. Option 1: (3, 5)

   • Both 3 and 5 are prime.
   • Difference: $5 - 3 = 2$ (Twin primes)

2. Option 2: (11, 13)

   • Both 11 and 13 are prime.
   • Difference: $13 - 11 = 2$ (Twin primes)

3. Option 3: (17, 19)

   • Both 17 and 19 are prime.
   • Difference: $19 - 17 = 2$ (Twin primes)

4. Option 4: (13, 17)

   • 13 is prime, but 17 does not make it a twin prime pair since their difference is $17 - 13 = 4$ (not twin primes).

Verify and Summarize

• Options 1, 2, and 3 are valid twin primes, while option 4 does not qualify since the difference is not 2.

Final Answer

The pair that is not a twin prime is (13, 17).