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Sum, Product and Square (Posted on 2011-07-02) Difficulty: 4 of 5
Consider N positive integers which are not necessarily distinct, whose sum is equal to their product and, the sum of squares of these integers is a perfect square.

Determine all the smallest value of N for which this is possible. What are the next three smallest values of N?

No Solution Yet Submitted by K Sengupta    
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Hints/Tips Part 1 (spoiler) Comment 1 of 1
N = 1.  Any positive integer will do.
  Posted by Steve Herman on 2011-07-03 18:50:49
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