Solution 91: The Last Three Digits of a Phi-Exponent Tower

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  • Published on May 15, 2019
  • For a quick computational overview of Euler's Totient Theorem and Chinese Remainder Theorem: usclip.net/video/vv57_W5HMTg/video.html
    Congratulations to Jaleb, Minh Cong Nguyen, Kevin Lu, Serengeti Ghasa, Arghyadeep Chatterjee, Nicolas Nauli, Midas Schonewille, and Mokou Fujiwara for successfully solving this math challenge question! Juju Mas was the first person to solve the question.
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Comments • 19

  • Shakeitpiggy
    Shakeitpiggy Month ago

    Wow. I did it by finding patterns in the last 2-3 digits of powers of 6 and powers of 8. I still arrived at the right answer though.'

  • Jan Von Schreibe
    Jan Von Schreibe Month ago

    What does it mean that a number _p_ is relatively prime to another number _n_ ?
    Is is that _p_ does not divide _n_ ?

    • Alberto Zordan
      Alberto Zordan Month ago +1

      No. Two numbers are co-prime (relatively prime to each other) if they do not share any common factors, or equivalently if their greatest common divisor is 1.

  • Dragon95161
    Dragon95161 Month ago +1

    Really great video, how do you come up with these awesome maths questions???

  • adandap
    adandap Month ago

    I was frustratingly close to that. Of your N steps, I had N-2 of them written down but couldn't quite pull it all together. I'll work through it carefully and hopefully the next time Euler raises his head I'll get there.

  • KRISHNA KAMALAKANNAN

    When are you releasing the solution for this week's video?

  • Sitanshu Chaudhary
    Sitanshu Chaudhary Month ago

    But how to take mod 1000 by u 1:30

  • Zamir C
    Zamir C Month ago +12

    I hope this video helps me to get a GF and stop watching ecchi animes

    • The Maverick!
      The Maverick! Month ago +2

      @Zain Majumder I did that. No luck.

    • Zain Majumder
      Zain Majumder Month ago +2

      i wish you luck, maybe you'll get girls by demonstrating your mathematical prowess

  • The Cold Tomato
    The Cold Tomato Month ago +2

    Will you go over the 2019 FRQ problems for the AP Calculus BC test when it is released?

    • LetsSolveMathProblems
      LetsSolveMathProblems  29 days ago

      @Smokie Bear 🔴🔵 *Edit: After much debate, I decided to not upload AP FRQ videos for this year, mainly because I believe I cannot post a series of explanation that is of a significantly higher quality than those already posted. If you are interested, turksvids has uploaded all solutions to AP Calclus AB/BC FRQ's from this year: usclip.net/user/turksvids

    • LetsSolveMathProblems
      LetsSolveMathProblems  29 days ago

      *Edit: After much debate, I decided to not upload AP FRQ videos for this year, mainly because I believe I cannot post a series of explanation that is of a significantly higher quality than those already posted. If you are interested, turksvids has uploaded all solutions to AP Calclus AB/BC FRQ's from this year: usclip.net/user/turksvids

    • The Cold Tomato
      The Cold Tomato Month ago

      @Smokie Bear 🔴🔵 So did I

    • Smokie Bear 🔴🔵
      Smokie Bear 🔴🔵 Month ago

      I’m so mad. I think I got all the multiple choice right but on ONE part of ONE free response I made ONE mistake cuz I just assumed that the question was asked in the same way as it was in the practice questions. NotLikeThis

    • LetsSolveMathProblems
      LetsSolveMathProblems  Month ago +4

      I do plan to review AP Calculus AB and BC Free Response problems once they are released. Best of luck on your score if you took the exam today! =)