A Composite Number is non-Prime*, such as 1, 4, 6, 8, 9 etc. Add all the  Composites in ascending order to form a Prime* Number all of whose digits are themselves in ascending order, up to Prime* values less than 5,000. Example:  the Composites up to 8 are 1, 4, 6, 8, which sum to 19, and 19 is a Prime whose digits are in ascending order.

*A prime number is one which can only be divided by itself and 1.