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.

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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