# Problem of the Week Problem E Missing the Fives III

Bobbi lists the positive integers, in order, excluding all multiples of $$5$$. Her resulting list is $1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, \ldots$ Determine the sum of the first $$2023$$ integers in Bobbi’s list.

Note:
In solving this problem, it may be helpful to use the fact that the sum of the first $$n$$ positive integers is equal to $$\tfrac{n(n+1)}{2}$$. That is, $1 + 2 + 3 + \cdots + n = \frac{n(n+1)}{2}$