MathDB

Represent as m+t_m

Source: 2020 Tuymaada Junior P1

October 6, 2020

number theory

Problem Statement

For each positive integer

m

let

t_m

be the smallest positive integer not dividing

m

. Prove that there are infinitely many positive integers which can not be represented in the form

m + t_m

.
(A. Golovanov)