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Question: Another Putnam Problem (Dec 2, 2007)

Sunday, 2 of December , 2007 at 7:59 pm

This week has been really busy, so I haven’t put a lot of thought into my weekly question. I was reading about problems dealing with rotating frames of references and gravitational fields in my Classical Mechanics Textbook, but I couldn’t find any interesting problems. I decided to follow Rod from Reasonable Deviations and post today’s Putnam problem from the Harvard Mathematics Website.

Question: Determine the maximum value of m^2 + n^2, where m and n are integers in the range 1,2,…,1981 satisfying (n^2 - mn - m^2)^2 = 1

Category: Putnam Problems, Questions

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