[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.

Question

[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.

lgbasallote · Answer

potato?

kinggeorge · Answer

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

anonymous · Answer

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