MathDB
smallest no. of consecutive numbers

Source: 2019 MEMO Problem I-4

August 29, 2019
number theorymemoMEMO 2019

Problem Statement

Determine the smallest positive integer nn for which the following statement holds true: From any nn consecutive integers one can select a non-empty set of consecutive integers such that their sum is divisible by 20192019.
Proposed by Kartal Nagy, Hungary