On a "prime date," both the month and the day are prime numbers. For example, Feb.7 or 2/7 is a prime date. How many prime dates occurred in 2007? If you could please provide an explanation as well!
+2666 There are 5 "prime months" (2, 3, 5, 7, 11)
For the dates, there are 12 (2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31)
So there are \(5 \times 12 = 60\), but we overcount for 2/29, 2/31, and 11/31, so there are \(60 - 3 = \color{brown}\boxed{57}\) "prime dates".
+2666 o yea, forgot 4 was composite lol
and also i already accounted for feb 29 and feb 31
