17 + 19 + 23 = 59
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Prime numbers having the sum of 100 are 47 + 53, 71 + 29, 89 + 11, 97 + 3, 83 + 17, and 41+ 59.
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 the two prime numbers 3 and 73 is 76.
3 prime numbers which have the sum of 132: 2 + 3 + 127 2 + 17 + 113
3 and 67, 11 + 59, 17 + 53, 23 and 47, 29 and 41