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Question

Express 72 as a sum of two odd primes.


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Solution

72 can be written as

72=1+71 (Cannot be taken as 1 is neither a prime nora composite number)

72=2+70 (Cannot be taken as 2 is even prime and 70 is a composite number)

72=3+69 (Cannot be taken as 69 is a composite number)

72=4+68 (Cannot be taken as 4 and 68 both ares composite number)

72=5+67, which clearly is the sum of two odd prime numbers
Therefore, answer is 5 and 67.


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