IMO 2017 Shortlist N5
Find all pairs pp,qq of prime numbers with p ą q for whi h the number pp qqpq pp ´ qqp´q ´ 1 pp qqp´qpp ´ qqpq ´ 1 is an...
Category: Number Theory
Problem
Find all pairs pp,qq of prime numbers with p ą q for whi h the number
pp qqpq
pp ´ qqp´q
´ 1
pp qqp´qpp ´ qqpq ´ 1
is an integer.
(Japan) Shortlisted problems 11