IMO 2020 Shortlist N1
Given a positive integer k, show that there exists a prime p such that one can choose distinct integers a1,a2,...,ak3 P ...
Category: Number Theory
Problem
Given a positive integer k, show that there exists a prime p such that one can choose
distinct integers a1,a2,...,ak3 P t1,2,...,p ´ 1u such that p divides aiai1ai2ai3 ´ i for all
i “ 1,2,...,k.
(South Africa)