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KingGeorge

  • 3 years ago

[SOLVED] For those bored, here's a cute little number theory related problem. Prove that the fraction \[{21n+4 \over 14n+3}\]is irreducible for all positive integers \(n\). PS: It's a two line proof.

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  1. lgbasallote
    • 3 years ago
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    potato?

  2. KingGeorge
    • 3 years ago
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    A hint is below in white LaTeX font. \[\color{white}{\text{prove that the numerator and the denominator are coprime}} \]

  3. eliassaab
    • 3 years ago
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    \[3 (14 n+3)-2 (21 n+4)=1 \] Applu Bezout and see if you can finish it.

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