Three consecutive numbers whose sum is 84 are 27, 28 and 29 AND 26, 28 and 30.
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The numbers are -30, -28 and -26.
26 28 30
The numbers are 81, 82 and 83. Also, 80, 82 and 84
19, 20, 21
There are no three consecutive numbers that are squares. Otherwise, there are an infinite sets of squares of three consecutive numbers: for example, {1,4,9}, or {4,9,16} or {576, 625, 676}