You can find this out quickly, if you just experiment a bit. There are actually two solutions:
5 + 5 + 3
7 + 3 + 3
They are 13, 17 and 19.
13 and 2
Of the numbers in your question, three are prime, and one is composite. The three prime numbers are 13, 37, and 101, and the composite number is 91. 91 is equal to 13 x 7.
5+13
7, 11 and 13
They are 13, 17 and 19.
13 and 2
11 and 13
Of the numbers in your question, three are prime, and one is composite. The three prime numbers are 13, 37, and 101, and the composite number is 91. 91 is equal to 13 x 7.
7, 13 and 17
17 and 13
5+13
Oh, dude, you're asking me to find prime numbers that are also into numerology? That's like asking a pineapple to do algebra. But hey, I'm up for the challenge. The prime numbers whose digits add up to 13 are 499 and 589. Just a couple of cool digits hanging out together, you know?
35
They are: 23+3 = 26
13+13+13=39
13, 17, and 13. 13+13 = 26 + 17 = 43