Conditional Formatting Based on Date Above

I have a table where the first column is a list of dates. The dates are in order, but some dates are skipped, and sometimes the date is repeated several times. My goal is to create conditional formatting so that a date cell is highlighted ONLY IF the date directly above it is at least 2 days before it (e.g. if the date in cell A5 is 3/11, it won't be highlighted if the date in cell A4 is either 3/10 or 3/11, but it will be highlighted if the date in cell A4 is anything before 3/10). New dates are added to the table all the time, so i would need a function that conditionally formats every new cell as it is entered. Is this possible?

first question since joining in 2016! welcome. you can convert your range to a Table first. select your range (say A1:Z100) and press CTRL + T. this makes the range dynamic and will highlight after new data is added. once done, select the range you want to apply to (say from A2:A100).
go to Home tab -> Conditional Formatting -> New Rule -> Use a formula to determine which cells to format -> Format values where this formula is true:
=$A2-$A1>=2

if it's possible for blank cells, you might need to use:
=AND($A2-$A1>=2,$A1<>"")