MathDB
Problems
Contests
National and Regional Contests
Chile Contests
Chile National Olympiad
2014 Chile National Olympiad
4
n^3-9n + 27 is not divisible by 81
n^3-9n + 27 is not divisible by 81
Source: Chile Finals 2014 L2 p4
October 5, 2022
number theory
divides
divisible
Problem Statement
Prove that for every integer
n
n
n
the expression
n
3
ā
9
n
+
27
n^3-9n + 27
n
3
ā
9
n
+
27
is not divisible by
81
81
81
.
Back to Problems
View on AoPS