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.
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Well, one of the numbers must definitely be two - otherwise, the sum of three odd numbers would be odd. Check what other two prime numbers add up to the remainder (40).
37 and 5
The numbers are 41, 42 and 43.
37 and 5 31 and 11 29 and 13 23 and 19
30, 42, and 70
Add them up. 11 13 17 19 23 29 31 37 41