Problem Solving (PS) | If the sum of three different prime numbers is an even number, what is

If adding three prime numbers, the only way to guarantee an even result is if one of the prime numbers is 2. All other primes are odd.

If all three terms are odd, the sum is odd. If two terms are odd, and one is even, the sum is even. That "Even" must be 2.

2 + 3 + 5 = 10
3 + 5 + 7 = 15
2 + 11 + 19 = 32
7 + 13
...

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