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Tuesday, January 27, 2015
Looking at sum of squares product
Find myself intrigued a bit at looking at how sums of squares can multiply to give another sum of squares, like with:
(46
^{2}
+ 48
^{2}
+ 72
^{2}
)(172
^{2}
+ 258
^{2 }
+ 430
^{2 }
+ 602
^{2}
+1762
^{2}
) =
615
^{2 }
+ 3075
^{2}
+ 14145
^{2}
+ 15990
^{2}
+ 188497
^{2}
= 77
^{4}
*2
^{10}
Just like to stare at it for some reason.
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