MathDB
Problems
Contests
National and Regional Contests
Germany Contests
Germany Team Selection Test
2011 Germany Team Selection Test
2
Floor is Never Divisible by 6
Floor is Never Divisible by 6
Source: Germany TST 2011 P2
April 11, 2020
floor function
number theory
Problem Statement
Let
n
n
n
be a positive integer prove that
6
∤
⌊
(
28
3
−
3
)
−
n
⌋
.
6\nmid \lfloor (\sqrt[3]{28}-3)^{-n} \rfloor.
6
∤
⌊(
3
28
−
3
)
−
n
⌋
.
Back to Problems
View on AoPS