MathDB
Classical looking NT

Source: Iranian Our MO 2020 P3

March 11, 2020
number theory

Problem Statement

Does there exist a non-constant infinite sequence of distinct natural numbers such that for all large enough kk we have that sum of any kk-sized sub-sequence is square-free if and only if kk is square-free.
Proposed by Alireza Haqi, Amir Rezaie Moghadam Rated 3