Two consecutive odd prime numbers are known as twin primes

In other words, we can say that twin prime numbers are prime numbers, whose difference is 2.

**List of Twin Prime Numbers:-**

3 and 5

5 and 7

11 and 13

17 and 19

29 and 31

41 and 43

59 and 61

71 and 73

**Which of the following are twin prime numbers?**

**Example 1 **

a) 16 and 14

b) 6 and 8

c) 12 and 10

**d) 3 and 5**

**Explanation**

Factors of 3 are 3 x 1

Factors of 5 are 5 x 1

Here, 3 and 5 both are not divisible by any other number, other than 1 and itself

Therefore, 3 and 5 are prime numbers.

Difference between 3 and 5 is 2

Hence, 3 and 5 both are prime and having difference of 2. So, they are twin prime numbers.

**Example 2**

a) 35 and 26

b) 22 and 20

**c) 19 and 17**

d) 27 and 29

**Explanation**

Factors of 19 are 19 x 1

Factors of 17 are 17 x 1

Here, 19 and 17 both are not divisible by any other number, other than 1 and itself

Therefore, 19 and 17 are prime numbers.

Difference between 19 and 17 is 2

Hence, 19 and 17 both are prime and having difference of 2. So, they are twin prime numbers.

**Example 3**

a) 44 and 38

b) 34 and 32

c) 40 and 34

**d) 31 and 29**

**Explanation**

Factors of 31 are 31 x 1

Factors of 29 are 29 x 1

Here, 31 and 29 both are not divisible by any other number, other than 1 and itself

Therefore, 31 and 29 are prime numbers.

Difference between 31 and 29 is 2

Hence, 31 and 29 both are prime and having difference of 2. So, they are twin prime numbers.

**Example 4**

**a) 61 and 59**

b) 78 and 76

c) 68 and 64

d) 64 and 61

**Explanation**

Factors of 61 are 61 x 1

Factors of 59 are 59 x 1

Here, 61 and 59 both are not divisible by any other number, other than 1 and itself

Therefore, 61 and 59 are prime numbers.

Difference between 61 and 59 is 2

Hence, 61 and 59 both are prime and having difference of 2. So, they are twin prime numbers.

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