25, 27, 29
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3, 5 and 7 are consecutive odd prime numbers.
None that are all odd numbers. But, there are two sets of three consecutive numbers containing a mix of even/odd that add up to 120. They are 39, 40 and 41 and also 38, 40 and 42.
The numbers are 11, 13 and 15.
The numbers are 39, 41 and 43.
The three consecutive odd prime numbers are 3, 5, and 7.