gaps are even. There is only one pair of consecutive gaps having length 2: the gaps and between the primes 3, 5, and 7.

For any integer , the factorial is the product of all positive integers up to and including . Then in the sequence
: the first term is divisible by 2, the second term is divisible by 3, and so on. Thus, this is a sequence of ''n'' - 1 consecutive composite integers,