Simultaneous Prime Equations
Number Theory
Level
5
\[\large 5p-q=r+1 , \qquad \dfrac{7p+q}{r}=p+1 \]
Let \(p\), \(q\) and \(r\) be prime numbers satisfying the system of equations above. Find the maximum value of \(p+q+r\).
by
Sharky Kesa