Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Power Tower Puzzle Problem!

  1. Sep 7, 2006 #1
    Consider an exponential tower of three thousand 7's.
    What is the remainder when you divide the tower by 11?
    Note that this notation means 7^(7^7) not (7^7)^7. So it's kinda like the Ackermann Function maybe?
    The final answer must be given as a single integer in the range 0-10.


    Anyone got any ideas???
     
  2. jcsd
  3. Sep 7, 2006 #2

    CRGreathouse

    User Avatar
    Science Advisor
    Homework Helper

    Yes, like the Ackerman function, but that doesn't matter.

    7 mod 11 = ?
    7^2 mod 11 = ?
    7^3 mod 11 = ?
    7^4 mod 11 = ?
    7^5 mod 11 = ?
    7^6 mod 11 = ?
    ...
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Power Tower Puzzle Problem!
  1. Puzzle statements (Replies: 5)

  2. Probability puzzle (Replies: 27)

  3. Hat puzzle (Replies: 4)

Loading...