MathDB

6

Part of 2018 Cono Sur Olympiad

Problems(1)

Sixth problem

Source: Cono Sur Olympiad 2018 #6

8/27/2018
A sequence a1,a2,…,ana_1, a_2,\dots, a_n of positive integers is alagoana, if for every nn positive integer, one have these two conditions I- an!=a1⋅a2⋅a3⋯ana_{n!} = a_1\cdot a_2\cdot a_3\cdots a_n II- The number ana_n is the nn-power of a positive integer. Find all the sequence(s) alagoana.
algebranumber theorycono sur