MathDB
2019 numbers adding up to n

Source: 2019 IMOC N3

February 5, 2023
number theory

Problem Statement

Prove that there exists N∈NN\in\mathbb{N} so that for all integer n>Nn > N, one may find 20192019 pairwise co-prime positive integers with n=a1+a2+⋯+a2019n=a_1+a_2+\cdots+a_{2019} and 2019<a1<a2<⋯<a20192019<a_1<a_2<\cdots<a_{2019}
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