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: ( You must be logged in to post comments.)

Subject	Author	Date
Some thoughts (spoiler)	Harry	2012-06-09 18:43:21
re(3): a general formula - a partial hint	Ady TZIDON	2012-06-03 13:16:25
re(2): a general formula	Charlie	2012-06-03 10:35:34
re: a general formula	broll	2012-06-03 02:42:46
a general formula	Ady TZIDON	2012-06-03 02:32:18
re: aha -- computer solution	broll	2012-06-02 15:58:59
aha -- computer solution	Charlie	2012-06-02 13:48:42
thoughts	Charlie	2012-06-02 13:08:08

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