37 and 5
31 and 11
29 and 13
23 and 19
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The only way for three prime numbers to have a sum of 42 is if one of the prime numbers is 2, as 2 is the only even prime number. The other two prime numbers must add up to 40, which can only be achieved by 3 and 37. Therefore, the three prime numbers that have a sum of 42 are 2, 3, and 37.
37 and 5
There are not three prime numbers that have the sum of 3. The smallest prime number is 2. If all three prime numbers were 2, the sum would 2 + 2 + 2 = 6, so that is the smallest number that is the sum of three prime numbers.
The sum of two prime numbers greater than 2 is an even number. The sum of 2 and any other prime number is an odd number.
The sum of the two prime numbers 3 and 73 is 76.