MathDB

N7

Part of 2019 IMO Shortlist

Problems(1)

Canada NT involving a bound

Source: 2019 ISL N7

9/22/2020
Prove that there is a constant c>0c>0 and infinitely many positive integers nn with the following property: there are infinitely many positive integers that cannot be expressed as the sum of fewer than cnlog⁡(n)cn\log(n) pairwise coprime nnth powers.
Canada
number theoryIMO ShortlistIMO Shortlist 2019Additive Number Theory