114/3 = 38, so the three integers are 37, 38 and 39.
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112, 113, and 114
There is no such set of numbers.
3, 5 and 7 are consecutive odd prime numbers.
3332, 3333 and 3334 add up to 9999 - there are no three consecutive numbers that add up to 10,000.
That doesn't work. The number has to be divisible by three. Any three consecutive numbers add up to a multiple of three.