An example for twin primes is

• (a) 5, 11
• (b) 3, 5
• (c) 11, 17
• (d) 3, 7

To identify twin primes, we first need to understand what they are. Twin primes are pairs of prime numbers that have a difference of two. This means that if you take two prime numbers, subtract the smaller one from the larger one, and the result is exactly two, then you have a pair of twin primes. Let's analyze the options you've provided to find the correct pair.

Analyzing the Options

• (a) 5, 11: The difference here is 11 - 5 = 6. Not a twin prime pair.
• (b) 3, 5: The difference is 5 - 3 = 2. This is a twin prime pair!
• (c) 11, 17: The difference is 17 - 11 = 6. Not a twin prime pair.
• (d) 3, 7: The difference is 7 - 3 = 4. Not a twin prime pair.

Identifying the Twin Primes

From our analysis, the only pair that meets the criteria for twin primes is option (b) 3 and 5. Both numbers are prime, and their difference is exactly two. To further clarify, let's look at what makes a number prime:

• A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
• For example, the number 3 has no divisors other than 1 and itself, making it prime.
• Similarly, 5 is only divisible by 1 and 5, confirming its status as a prime number.

Examples of Other Twin Primes

Besides 3 and 5, there are several other pairs of twin primes. Here are a few examples:

• (5, 7)
• (11, 13)
• (17, 19)
• (29, 31)

Each of these pairs also has a difference of two, illustrating the concept of twin primes effectively. Understanding twin primes can be a fun way to explore the world of prime numbers and their unique properties!