MathDB

4

Part of 2022 Czech-Austrian-Polish-Slovak Match

Problems(1)

Strange NT equation with tau and sigma

Source: Czech-Polish-Slovak Match 2022 P4

9/3/2022
Find all positive integers nn, such that σ(n)=τ(n)⌈n⌉\sigma(n) =\tau(n) \lceil {\sqrt{n}} \rceil.
number theory