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Question

Express each of the following numbers as the sum of three odd prime numbers:

(i) 31
(ii) 35
(iii) 49

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Solution

We can express the given numbers as the sums of three odd prime numbers as follows:

(i) 31 = 5 + 7 + 19 or 31 = 11 + 13 + 7

(ii) 35 = 5 + 7 + 23 or 35 = 17 + 13 + 5

(iii) 49 = 3 + 5 + 41 or 49 = 7 + 11 + 31


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