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 Prime Perimeter (Posted on 2005-03-11)

You and two other people have numbers written on your foreheads. You are all told that the three numbers are primes and that they form the sides of a triangle with a prime perimeter. You see 5 and 7 on the other two heads and both of the other people agree that they cannot deduce the number on their own foreheads.

 See The Solution Submitted by Erik O. Rating: 2.8235 (17 votes)

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 re(3): full solution as understood | Comment 22 of 89 |
(In reply to re(2): full solution as understood by Charlie)

Now i get it what youare saying, you mean to say in scenario 1. when C assumes if his number is 3, then He would assume the B can think his numbers to either 3 or 5.

Yes, i think it has gone to next level of complication. I will think about it ans see if I can come with any answer.

Nice problem EriK.

Edited on March 12, 2005, 4:56 am
 Posted by Sachin on 2005-03-12 03:06:51

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