Question

Express 79 and 104 as the sum of any three odd primes.

Comments

104 can be expressed as the sum of three odd primes
 104= 3+5+7+89

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104 can not be expressed as the sum of three odd prime numbers, it can be expressed as the sum of four odd prime numbers as you have written 104 = 3 + 5 + 7 + 89 (Here odd primes are 3, 5, 7, 89 total 4 not exactly 3)

Answer 1

79 = 37 + 31 + 11
79 = 41 + 31 + 7
79 = 61 + 11 + 7
79 = 59 + 13 + 7
79 = 53 + 19 + 7 and so on.

104 cannot be expressed as the sum of three odd primes.

Because we know that “ the sum of any two odd numbers is an even number”.

Also the sum of an odd and even number is always an odd number.

104 = 61 + 41 + 2
104 = 97 + 5 + 2
104 = 89 + 13 + 2 and so on.