8,9,10,11,12
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Between 13 and 15 there is only one even integer: 14.
None. But, 14 is between the two odd integers 13 and 15.
14-2 = 12 12 integers. 2 3 4 5 6 7 8 9 10 11 12 13
The positive integers between 4 and 9 inclusive are 4, 5, 6, 7, 8, 9.
Excluding the numbers in the question, the integers which fall between 2 and 8 are 3, 4, 5, 6, and 7.