MathDB

natural a =(p+q)/r+(q+r)/p+(r+p)/q where p, q,r primes

Source: Danube 2014 junior p1

July 22, 2019

number theorySumprimesnatural

Problem Statement

Determine the natural number

a =\frac{p+q}{r}+\frac{q+r}{p}+\frac{r+p}{q}

where

p, q

and

r

are prime positive numbers.