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2, 2, 13

3, 3, 11

3, 7, 7

5, 5, 7

Can't be done with 3 different primes, there's no way to make 17 from 2, 3, 5, 7, 11 & 13.

Another Answer:-

19-13+11 = 17

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Q: What 3 primes numbers have a sum of 17?
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