olymmath

KöMaL 2019 K616

    There are a lot of integers that can be represented as a sum of three perfect squares. For example, 1=12+02+021=1^2+0^2+0^2, 14=32+22+1214=3^2+2^2+1^2, 20=42+22+0220=4^2+2^2+0^2. Show that 1991 cannot be represented as a sum of three perfect squares.

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