They are (33, 34, 35).
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There is no set of three consecutive integers whose sum is 71.
The sum of three consecutive integers is -72
The average of the three integers is going to be -306/3 = -102. Therefore, taking one even integer from either side, -306 = (-100) + (-102) + (-104)
The three integers are 187, 188 and 189.
The sum of any three consecutive odd integers is going to give an odd result. It is impossible for the sum of an odd number of odd integers to equal an even number.