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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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 re: The best that my program can do | Comment 15 of 31 |
(In reply to The best that my program can do by Charlie)

Come on, Charlie!  I did that much and more with just my TI-83:  see my first post, the next term is 19026245

I was hoping for a program that would somehow try permutations, like use the 2, 3, 4, 5 but leave out the 6 and them stop creating the sequence if it reaches 10000 and try a new few starting numbers.

I established that you need the 2, but maybe it would try starting with subsets of {3, 4, 5, 6, 7, 8, 9, 10}

This wouldn't be guaranteed to find a solution, but it might.

-Jer

 Posted by Jer on 2004-09-21 13:12:31

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