How do I check for the first saturday of the month in PHP?

Question

I need to make a simple if statement for a daily cron job to check if today is the first saturday of the month. How would I modify the following code to do that instead of just running on the 1st of every month?

if (date("j") == 1) {
    // run cron here
}

Answer 1

The first saturday of the month is the saturday where the day number is 7 or less.

Answer 2

            if  ((date("D")=="Sat") && (date("j")<=7)){

            }