PUZZLET 015

A Triplet of Sums of Squares

Three successive 3-digit integers are all the sum of two squares: 520, 521, 522.

520 = 6^{2}+ 22^{2}, 521 = 11^{2}+ 20^{2}and 522 = 9^{ 2}`+ 21`

^{2}.

Are there any other triplets of successive 3-digit integers with this property?

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Last Updated: January 7th, 2010.