IMO 2013 Shortlist N3
Prove that there exist infinitely many positive integers n such that the largest prime divisor of n4 n2 1 is equal to th...
Category: Number Theory
Problem
Prove that there exist infinitely many positive integers n such that the largest prime divisor
of n4
n2 1 is equal to the largest prime divisor of pn 1q4 pn 1q2 1.
(Belgium)