Problem of the Week 1096

Four Sets of Squares

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Partition the integers {1², 2², 3², ..., 15²} into 4 sets each having the same sum.

Hard extra credit: Determine for which n the set {1², 2², 3², ..., n²} can be so partitioned.

Source: Source: Problem 3220, Crux Mathematicorum, March 2008, p 116-117.

© Copyright 2008 Andrew Beveridge and Stan Wagon. Reproduced with permission.