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There are 31 positive integers that cannot be expressed as the sum of 1 or more distinct positive squares:
2, 3, 6, 7, 8, 11, 12, 15, 18, 19, 22, 23, 24, 27, 28, 31, 32, 33, 43, 44, 47, 48, 60, 67, 72, 76, 92, 96, 108, 112, 128
There are 2788 positive integers that cannot be expressed as the sum...