#math trivia #64 solution

Burt Kaliski Jr. (@modulomathy)
3/4/12 8:08 PM
#math trivia for #March4: #64 is one of only two sixth powers this year. How many days are nth powers for some n > 1?

Seven days have numbers that are higher powers of 2: 4, 8, 16, 32, 64, 128, 256. There are four higher powers of 3, four higher powers of 4, two of 5, two of 6, and one each of 7 through 19. However, some of these powers are duplicates and should be removed: in particular, anything starting with a number that itself is a higher power, i.e., of 4, 8, 9, or 16. The remaining numbers thus include:

  • seven powers of 2
  • four powers of 3
  • two powers of 5
  • two powers of 6
  • one each of 7, 10, 11, 12, 13, 14, 15, 17, 18, 19

The total number of days that are higher powers is 25.

One thought on “#math trivia #64 solution

  1. Pingback: #math trivia #243 solution | modulomathy.com

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s