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 More logicians, hats and numbers (Posted on 2006-11-05)
Sam and Pete, two perfectly intelligent logicians, are sitting facing each other, each with a hat on. The number on Pete's hat, they are told, is the sum of two integers larger than 1; the number on Sam's hat is the product of these two integers. The following conversation ensues:

Sam: I don't know the number on my hat.
Pete: I don't know the number on my hat.
Sam: I don't know the number on my hat.
Pete: I don't know the number on my hat.
Sam: I don't know the number on my hat.
Pete: I don't know the number on my hat.
Sam: OK, now I know the number on my hat.
Pete: And I know the number on mine.

What are the numbers on Pete's and Sam's hats?

 See The Solution Submitted by JLo Rating: 4.1250 (8 votes)

 Subject Author Date re: Solution atheron 2006-11-08 03:01:51 Solution nikki 2006-11-07 18:02:12 Some thoughts atheron 2006-11-07 12:47:47 Spoiler Robby Goetschalckx 2006-11-05 19:22:30

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