MathDB
triples of 3 primes

Source: Czech and Slovak third round,2006,p5

March 3, 2012
number theory proposednumber theory

Problem Statement

Find all triples (p,q,r)(p,q,r) of pairwise distinct primes such that pq+r,qr+2p,rp+3q.p\mid q+r, q\mid r+2p, r\mid p+3q.