MathDB
Prime Numbers

Source: 2015 Turkey JBMO TST

June 22, 2016
number theoryprime numbers

Problem Statement

Let p,qp,q be prime numbers such that their sum isn't divisible by 33. Find the all (p,q,r,n)(p,q,r,n) positive integer quadruples satisfy: p+q=r(pq)np+q=r(p-q)^n
Proposed by Şahin Emrah