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

  • Thread starter margot
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  • #1
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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 :)
 

Answers and Replies

  • #2
Petek
Gold Member
363
8


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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