Mathematics
Express each of the following numbers as the sum of three odd primes:
(i) 21
(ii) 35
(iii) 49
(iv) 63
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Answer
(i) 21 = 3 + 7 + 11
(Other ways: 21 = 5 + 5 + 11, 21 = 7 + 7 + 7, 21 = 3 + 5 + 13)
(ii) 35 = 5 + 11 + 19
(Other ways: 35 = 5 + 7 + 23, 35 = 3 + 13 + 19, 35 = 5 + 13 + 17, 35 = 7 + 11 + 17, 35 = 11 + 11 + 13)
(iii) 49 = 7 + 11 + 31
(Other ways: 49 = 5 + 7 + 37, 49 = 7 + 13 + 29, 49 = 13 + 13 + 23)
(iv) 63 = 7 + 13 + 43
(Other ways: 63 = 5 + 11 + 47, 63 = 3 + 7 + 53, 63 = 11 + 23 + 29, 63 = 17 + 23 + 23)
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