1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Powers Which Differ by a Value of One

  1. Jul 25, 2013 #1
    Are there natural solutions for A and B which satisfy the equation

    Ax+1=By

    where x and y are integers greater than 2?
    (I only include a greater than 2 stipulation because I can see a few obvious solutions such as 23+1=32)

    This has just sort of come to mind as I was thinking about the interesting differences in the prime composition of numbers differing by one, and then wondered if there were any powerful primes that differed by only one, or any powerful numbers whatsoever that differ by 1.
     
  2. jcsd
  3. Jul 25, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Powers Which Differ by a Value of One
Loading...