Challenging Puzzles - You and i each have two prime numbers on our foreheads And are told that any three of them form the

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Challenging Puzzles | Question 7 of 200

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 "dont know" on each of our first two turns. It is now Your third turn. what are the numbers on your forehead?

Total Answers and Comments: 3

Last Update: July 14, 2005

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April 06, 2005 12:37:38

sam

RE: You and i each have two prime numbers on our foreheads And are told that any three of them form the ...

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

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July 14, 2005 16:30:38

atul

RE: You and i each have two prime numbers on our foreheads And are told that any three of them form the ...

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

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July 14, 2005 16:30:53

atul

RE: You and i each have two prime numbers on our foreheads And are told that any three of them form the ...

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