Two prime numbers on our foreheads Puzzle

You and i each have two prime numbers on our foreheads And are told that any three of them form the sides of a triangle With prime perimeter. we take turns stating whether we can deduce the Numbers on our own foreheads. You see 13 and 17 on my forehead and each of us has stated "don't know" on each of our first two turns. It is now Your third turn. what are the numbers on your forehead?

This question is related to Infosys Interview

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Jul 14th, 2005
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sam

Apr 6th, 2005

12 and 5 (12^2+5^2=13^2)

atul

Jul 14th, 2005

12+5=17
but sum of 2 sides should be greater than 3rd.

also 13 +17+5 = 35 (not a prime)!!!!

my soln is 13 and 17

13 +13 +17=43
and
17 + 17 + 13= 47
both are prime.
also sum of 2 sides is always greater than 3rd.
so the other person also has 13 cand 17 on forehead