Express the following as the sum of two odd primes. (a) 44 (b) 36 (c) 24 (d) 18

Question – Express the following as the sum of two odd primes. (a) 44 (b) 36 (c) 24 (d) 18

Solution – 

First, We will write all the prime numbers between 1 and 45

i.e., 2,3,5,7,11,13,17,19,23,29,31,37,41 and 43.

Among them only 2 is even prime numbers and remaining are odd prime numbers.

(a) 44  can be written in following ways:

44 = 3 + 41

= 7 + 37

= 11 + 31

(b) 36 can be written in following ways:

36 = 5 + 31

= 7 + 29

= 13 + 23

= 17 + 19

(c) 24 can be written in following ways:

24 = 5 + 19

= 7 + 17

= 11 + 13

(d) 18 can be written in following ways:

18 = 5 + 13

= 7 + 11

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