MathDB
ITAmo 2017, P5

Source: ITAmo 2017

May 5, 2017
number theoryalgebraRamsey Theorycombinatorics

Problem Statement

Let x1,x2,x3... x_1 , x_2, x_3 ... a succession of positive integers such that for every couple of positive integers (m,n)(m,n) we have xmn≠xm(n+1) x_{mn} \neq x_{m(n+1)} . Prove that there exists a positive integer ii such that xi≥2017x_i \ge 2017 .
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