Tricky NT problem from basic divisibily

mutasimmim · Unread post by **mutasimmim** » Thu Sep 04, 2014 10:54 am

Find all natural numbers $17$ such that $n$ divides $3^n-n$.

[Moderator note: Edited]

mutasimmim · Unread post by **mutasimmim** » Thu Sep 04, 2014 11:11 am

Unread post by **asif e elahi** » Thu Sep 04, 2014 5:13 pm

I think there is something wrong in the problem.Otherwise $n=3^k$ satisfies the given condition

mutasimmim · Unread post by **mutasimmim** » Fri Sep 05, 2014 12:08 am

Oops! I wrote the whole problem wrong! I'm posting the actual problem in a different thread.

mutasimmim · Unread post by **mutasimmim** » Fri Sep 05, 2014 12:11 am

Find all natural numbers $n$ such that $17$ divides $3^n-n$.

Unread post by ***Mahi*** » Fri Sep 05, 2014 11:08 am

Instead of moving the discussion to a completely new thread, I merged the two threads and edited the first post in this thread accordingly

I hope there are no confusions about this.

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