Problem #9
Find an infinite family of triples of consecutive integers each of which is the sum of two
positive
perfect squares. For example, 232 = 6
^{2}
+ 14
^{2}
, 233 = 8
^{2}
+ 13
^{2}
, and 234 = 3
^{2}
+ 15
^{2}
is one such triple.
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