No.
The sum of four consecutive integers is two odd numbers plus two even numbers which is an even number. 2001 is an odd number, therefore it cannot be the sum of four consecutive numbers.
The four consecutive integers with the sum of -66 are -18, -17, -16 and -15.
The sum of the first four non-negative, consecutive, even integers is 20.
The smallest is -1
There are none.
If n is the smallest of the four integers, their sum is 4n+6.
14, 15, 16 and 17.
There is a set of four consecutive even integers whose sum is four. The set is: -2, 0, 2 and 4.
They are odd consecutive integers: 21, 23, 25 and 27.
15,16,17,18
6,7,8,9
The sum is four.
There are four consecutive odd integers: 81, 83, 85 and 87.