MathDB

Primes p,q,r for which p-q,p-r,q-r are prime [Slovenia 2010]

Source:

November 16, 2010

number theoryprime numbersnumber theory proposed

Problem Statement

Find all prime numbers

p, q

and

r

such that

p>q>r

and the numbers

p-q, p-r

and

q-r

are also prime.