MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
44
A 44
A 44
Source:
May 25, 2007
algebra
polynomial
complex numbers
Divisibility Theory
Problem Statement
Suppose that
4
n
+
2
n
+
1
4^{n}+2^{n}+1
4
n
+
2
n
+
1
is prime for some positive integer
n
n
n
. Show that
n
n
n
must be a power of
3
3
3
.
Back to Problems
View on AoPS