-9 -6 -3 0 3 6 9
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There is no set of three consecutive odd or even integers whose sum is negative 31.
96
There is no set of three consecutive even integers whose sum is 999. There are two other sets; one is odd, the other is mixed. The odd set is 331, 333 and 335. The mixed set is 332, 333 and 334.
-701, -703, -705, -707, -709 and -711.
There is no set of three consecutive integers for 106.