perplexus.info :: Numbers : The smallest sum

The smallest sum (Posted on 2012-06-02)

Find three distinct integers, X, Y and Z, such that X + Y, X + Z, Y + Z, X - Y, X - Z, and Y - Z are all squares of integers.
Apparently, there are many solutions.

Find the set [X, Y, Z] with the smallest X + Y + Z.

No Solution Yet Submitted by Ady TZIDON

Rating: 4.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

a general formula

| Comment 4 of 8 |

How about a general formula for [X, Y, Z]?

Posted by Ady TZIDON on 2012-06-03 02:32:18

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