Question 166
Find all triples of prime numbers $p$, $q$, $r$ that satisfy
$$
\frac{q}{p-1} + \frac{r}{p+1} = \frac{q+r+1}{p}.
$$
$$
\frac{q}{p-1} + \frac{r}{p+1} = \frac{q+r+1}{p}.
$$
MathNet 2015-part-06 — 191 problems (EN–VI) Question 166
Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)