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 Get one half by squaring (Posted on 2004-09-20)
Can you solve the following equation?

½ = 1/x² + 1/y² +...+ 1/z²

All variables must be different, positive integers, and there must be a finite number of terms.

 See The Solution Submitted by Federico Kereki Rating: 4.2500 (12 votes)

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 Food for Thought | Comment 16 of 31 |

Peruse the following for some interesting 411:

Eric W. Weisstein. "Egyptian Fraction." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/EgyptianFraction.html

Federico (not Frederico, by the way, David) was almost certainly thinking Egyptian here. This problem may have been solved by Ron Graham, but I do not have access to Proceedings of the London Math. Society. I tend to think that the problem may be more of a Code Red, difficulty 5 rather than Code Orange, difficulty 4.

 Posted by Richard on 2004-09-21 13:47:09

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