1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

Find base in which the number is a palindrome

  1. Dec 25, 2009 #1
    Sorry, this is not a H.W question . But I figure this is the more active section in math, and
    that maybe some calculus can help.

    The question is that given a number n, Find which base its a palindrome in.

    For example,

    The given number is n = 3. Starting from base 2 to x, we check which is the smallest base
    its a palindrome in.

    Starting from base 2.

    (3)_10 = (11)_2 [ in base 2 ]
    (3)_10 = (1)_3 [in base 3]
    .. so on

    But we see that base 2 is the smallest so we can stop there. Hope its clear enough.

    The question I have is that, is there some theorem that states that a number N, is
    palindrome in base > x, where x could be any number. Thus if we get a number N = 12323434. We done need to start checking from base 2. Instead we can start checking
    from base x ( by some theorem). Sorry if this is a random question.
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted