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If a,m and n are positive integers with m<n

  1. Oct 27, 2009 #1
    well this is the question... if a,m and n are positive integers with m<n, then (a^(2^m)+1) is a divisor of (a^(2^n)-1)... I started using induction and it works for the first step... but for the second one i do not know if i can make induction on m... any hint would help.. thanks :)
     
  2. jcsd
  3. Oct 28, 2009 #2
    Re: divisibility

    Hint: Can you prove the result if n = m + 1?

    Please post again if this doesn't help or if you'd like another hint.

    Petek
     
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