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Math Help - Tricky Tut Question

  1. #1
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    Tricky Tut Question

    Let L(387) be the least residual set modulo 387. If we multiply L(378) by 12, is the resulting set a complete residual set?

    Explain your answer please.

    Thanks..

    I know the answer is yes, but have no idea why?
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  2. #2
    Member Traveller's Avatar
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    Re: Tricky Tut Question

    What about 129?
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  3. #3
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    Re: Tricky Tut Question

    What about 129? can you explain to me?
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  4. #4
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: Tricky Tut Question

    Quote Originally Posted by ikurwae89 View Post
    What about 129? can you explain to me?
    129 is in L(387).

    129 * 12 = 4 * 387
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  5. #5
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    Re: Tricky Tut Question

    So a counterexample is the best to show that if another integer exist in L(387), then its not a complete residual set?

    Is that what it means? If i got it all wrong can you explain to what the question is asking?

    Thanks
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