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The 3 consecutive odd positive integers are 7, 9 and 11.
The largest possible values for the integers are 47, 49, and 51.
They are consecutive odd integers: 25 and 27.
Are not all integers spaced out to be odd then even then odd then even etc (eg 1,2,3,4,5,6,7,8,9,10, etc) and therefore there is no such thing as two consecutive odd integers.
For any integer n, the numbers 2n + 1 and 2n + 3 are consecutive odd integers.