# Twin Prime Numbers

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.

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.