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Get one half by squaring (Posted on 2004-09-20) Difficulty: 4 of 5
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: The best that my program can do | Comment 15 of 32 |
(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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