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Euler's Phi Function

 
 
RK4
 
Reply Wed 30 Nov, 2005 09:11 pm
Hi all!

Let phi(n) be the Euler's phi function.

Show that if the equation phi(n) = k, where k is a positive integer, has exactly one solution n, then 36 divides n.

Any help will be greatly appreciated! Thanks!
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Type: Discussion • Score: 1 • Views: 969 • Replies: 3
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raprap
 
  1  
Reply Thu 1 Dec, 2005 05:09 pm
every integral solution of the totient function for any non-zero integer has a unique solution doesn't it?

Rap
0 Replies
 
raprap
 
  1  
Reply Thu 1 Dec, 2005 06:24 pm
not unique, singular

Rap
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markr
 
  1  
Reply Thu 1 Dec, 2005 11:23 pm
Another way of stating the problem is:

If phi(n) = k
and
for all m != n, phi(m) != k
then 36 divides n.
0 Replies
 
 

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