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Math Help - order of an integer

  1. #1
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    Exclamation order of an integer

    Q: Decide whether it is true that if n is a positive integer and d is a divisor of φ(n), then there is an integer a with ordna=d. Give reasons for your answer.

    Don't know how to do this, please any one help?? Thanks very much.
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  2. #2
    Super Member malaygoel's Avatar
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    Quote Originally Posted by suedenation View Post
    Q: Decide whether it is true that if n is a positive integer and d is a divisor of φ(n), then there is an integer a with ordna=d. Give reasons for your answer.

    Don't know how to do this, please any one help?? Thanks very much.
    I don't understand the phrase "ordna=d."
    Please clarify

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    Malay
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  3. #3
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    Quote Originally Posted by suedenation View Post
    Q: Decide whether it is true that if n is a positive integer and d is a divisor of φ(n), then there is an integer a with ordna=d. Give reasons for your answer.

    Don't know how to do this, please any one help?? Thanks very much.
    Of course.

    The order of any integer relatively prime to n must be a divisor of \phi (n). As you have seen not all integers are primitive roots so there are some that satisfy what you said.
    Last edited by ThePerfectHacker; November 21st 2006 at 08:07 AM.
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