# primitive root

• Mar 26th 2013, 01:42 PM
userit8
primitive root
Assume 10 is a primitive root of p, a prime number , p!=7.
I need to prove that infinite number of this series :

31 331 3331 ...

is divided by p.
• Mar 26th 2013, 02:08 PM
Kanwar245
Re: primitive root
p! = 7? How is that possible?
• Mar 26th 2013, 02:25 PM
userit8
Re: primitive root
I wrote it in programming form.
I mean p is prime which not equal to 7.
• Mar 26th 2013, 03:15 PM
Kanwar245
Re: primitive root
do you have to prove that everything in the series is divided by "same" p?
• Mar 26th 2013, 03:43 PM
userit8
Re: primitive root
the question is from old exam in Hebow and I understand it as "the same p"
• Apr 1st 2013, 08:23 PM
johng
Re: primitive root
Hi,
Here's a solution.

Attachment 27764
• Apr 14th 2013, 05:40 PM
johng
Re: primitive root
I was reviewing some of my posts, and realized what I said above is perfect nonsense. The method was correct, but it was all messed up. Here's a corrected version:

Attachment 27955