Becouse every Prime number (except 2) is odd, the sum of 2 prime numbers will always be even (and 2 is the only even prime).
The exceptions are 11 and 2 for example; 11 = prime, 2 = prime and 13=prime.
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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.
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The sum of any two prime numbers may or may not be prime. The sum of the two prime numbers 2 and 3 is the prime number 5, and the sum of the two prime numbers 5 and 7 is the composite number 12.
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.
3 and 17