If n is the smallest of the four integers, their sum is 4n+6.
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There is a set of four consecutive even integers whose sum is four. The set is: -2, 0, 2 and 4.
The greatest integer is 24.
118
The integers are -2, 0, 2 and 4.
The sum of any two consecutive integers is odd. Try it out. 3 + 4 = 7 4 + 5 = 9 If it works for those, it works for all of them.