Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Math Topics » discretemath

Topic: when does ax+b | 2^2x+1
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Angela Richardson

Posts: 42
From: UK
Registered: 6/22/11
when does ax+b | 2^2x+1
Posted: Oct 22, 2011 2:00 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

2x+1 | 2^(2x) -1
proof: 2^(2x) -1=(2^x)^2 -1=(2^x +1)(2^x -1)=(2^x
+1)(2x+1)(2^(x-1)+2^(x-2)+...2^1+2^0)
Are there any values of a and b where ax+b | 2^(2x)-1 for all positive integers
x apart from the case where b=1? 



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.