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!

Guest Aug 18, 2022

#1**0 **

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".

BuilderBoi Aug 18, 2022

#3**+1 **

o yea, forgot 4 was composite lol

and also i already accounted for feb 29 and feb 31

BuilderBoi Aug 18, 2022