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

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Detailed Solution

We are known that all prime numbers other than 2 are odd.

(a) 44
44 can be written as the sum of odd prime numbers in 2 ways:

44 = 13 + 31, 44 = 3 + 41

(b) 36

36 can be written as the sum of odd prime numbers in 2 ways:

36 = 5 + 31, 36 = 13 + 23

24 can be written as the sum of odd prime numbers in 2 ways:

24 = 5 + 19, 24 = 11 + 13

(d) 18

18 can be written as the sum of odd prime numbers in 2 ways:

18 = 7 + 11, 18 = 5 + 13

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