All integers are not odd.
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All integers are whole numbers that can be odd or even
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.
At least the following families: all integers; all positive integers; all odd integers; and all "square integers", that is, integers that are squares of other integers.
It is if we only consider integers. If we consider all real numbers, for example, it would not be.
The two odd integers are 57 and 59.