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The smallest sum (
Posted on 20120602
)
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
20120609 18:43:21
re(3): a general formula  a partial hint
Ady TZIDON
20120603 13:16:25
re(2): a general formula
Charlie
20120603 10:35:34
re: a general formula
broll
20120603 02:42:46
a general formula
Ady TZIDON
20120603 02:32:18
re: aha  computer solution
broll
20120602 15:58:59
aha  computer solution
Charlie
20120602 13:48:42
thoughts
Charlie
20120602 13:08:08
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