IMO 2019 Shortlist N7

Prove that there is a constant c ą 0 and infinitely many positive integers n with the following property: there are infini...

IMO 2019 Shortlist N7

Category: Number Theory

Problem

Prove that there is a constant c ą 0 and infinitely many positive integers n with the following property: there are infinitely many positive integers that cannot be expressed as the sum of fewer than cnlogpnq pairwise coprime nth powers. (Canada)