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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

potato?

2. KingGeorge

A hint is below in white LaTeX font. $\color{white}{\text{prove that the numerator and the denominator are coprime}}$

3. eliassaab

$3 (14 n+3)-2 (21 n+4)=1$ Applu Bezout and see if you can finish it.

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