IMO 2024 Shortlist A8
Let p ‰ q be coprime positive integers. Determine all infinite sequences a1, a2, ... of positive integers such that the ...
Category: Algebra
Problem
Let p ‰ q be coprime positive integers. Determine all infinite sequences a1, a2, ... of
positive integers such that the following conditions hold for all n ě 1:
maxpan,an1,...,anpq ´ minpan,an1,...,anpq “ p and
maxpan,an1,...,anqq ´ minpan,an1,...,anqq “ q.
(Japan) Shortlisted problems 5