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The sum of the first six prime numbers is 41 (2 + 3 + 5 + 7 + 11 + 13 = 41).
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
11,13,19