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Math Help - primitive root

  1. #1
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    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.
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  2. #2
    Junior Member Kanwar245's Avatar
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    Re: primitive root

    p! = 7? How is that possible?
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  3. #3
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    Re: primitive root

    I wrote it in programming form.
    I mean p is prime which not equal to 7.
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  4. #4
    Junior Member Kanwar245's Avatar
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    Re: primitive root

    do you have to prove that everything in the series is divided by "same" p?
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  5. #5
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    Re: primitive root

    the question is from old exam in Hebow and I understand it as "the same p"
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  6. #6
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    Re: primitive root

    Hi,
    Here's a solution.

    primitive root-mhfprimitiveroot.png
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  7. #7
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    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:

    primitive root-mhfprimitiveroot.png
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