Super Tricky "Roots of Unity" Filter

by pinetree1, Aug 18, 2017, 12:05 AM

Problem: Determine whether or not there exists a positive integer $k$ such that $p = 6k+1$ is a prime and \[\binom{3k}{k} \equiv 1  \pmod{p}.\]Source: USA TST 2010/9

Solution
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This post has been edited 1 time. Last edited by pinetree1, Aug 18, 2017, 4:56 PM

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woAAoAAOAh!!! how are you so pro?!?!!!

by MathSlayer4444, Aug 28, 2017, 8:21 PM

Shout for contrib!

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  • Wow! great solution!

    by PickleSauce, Jul 29, 2021, 4:16 AM

  • Hello! $           $

    by HamstPan38825, Jun 26, 2021, 6:08 PM

  • awesome blog !!! :clap: :coolspeak: :omighty:

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  • Really Good!

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  • hello pinetree

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  • how is pinetree1 so pro?

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  • $\text {Bring Gold at IMO 2020} $

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  • thx! $\phantom{}$

    by GeronimoStilton, Jul 4, 2020, 8:20 PM

  • yep $ $ $ $

    by pinetree1, Jul 4, 2020, 4:21 PM

  • does shouting for contrib work?

    by GeronimoStilton, Jul 4, 2020, 1:00 AM

  • omg HI A02
    and hi pinetree

    by anyone__42, Jul 2, 2020, 12:13 PM

  • HI PINETREE!!!

    by A02, Jul 1, 2020, 6:55 PM

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