Thread: Sock Drawer
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Old 10-21-2002, 05:32 AM
irchans irchans is offline
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Join Date: Sep 2002
Posts: 157
Default Re: Sock Drawer - ans (a,b,c)

BruceZ, Pseudo,

You got the right answers! Number Theory is certainly involved in the "general answer" which is beyond me. Mosteller writes, "... we would be wise to appreciate that this is a problem in the theory of numbers. It happens to lead to a famous result in Diophantine Analysis obtained from Pell's equation."

Pell's equation is

n x^2 + 1 = y^2 .

I don't see how this is related to the sock problem. Mollester gives a reference (Elementary theory of numbers by LeVeque.) If I get some time tomorrow, I will look it up.

Cheers, Irchans
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