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# HELP!!!

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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!

Aug 18, 2022

#1
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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".

Aug 18, 2022
#2
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A slight typo in your dates. Should read: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31]==11 dates

Feb/2007 =2007 was NOT a leap year, and therefore Feb/2007 had only 28 days ==9 prime dates

So: Feb + Mar + May + Aug + Nov ==9 + 11 + 11 + 11 + 10==52 prime dates.

Guest Aug 18, 2022
#3
+2446
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o yea, forgot 4 was composite lol

and also i already accounted for feb 29 and feb 31

Aug 18, 2022