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2022 Czech-Austrian-Polish-Slovak Match
4
Strange NT equation with tau and sigma
Strange NT equation with tau and sigma
Source: Czech-Polish-Slovak Match 2022 P4
September 3, 2022
number theory
Problem Statement
Find all positive integers
n
n
n
, such that
σ
(
n
)
=
τ
(
n
)
⌈
n
⌉
\sigma(n) =\tau(n) \lceil {\sqrt{n}} \rceil
σ
(
n
)
=
τ
(
n
)
⌈
n
⌉
.
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