MathDB
Problems
Contests
National and Regional Contests
Poland Contests
Poland - Second Round
2005 Poland - Second Round
1
Both expressions are primes
Both expressions are primes
Source:
December 6, 2010
number theory proposed
number theory
Problem Statement
Find all positive integers
n
n
n
for which
n
n
+
1
n^n+1
n
n
+
1
and
(
2
n
)
2
n
+
1
(2n)^{2n}+1
(
2
n
)
2
n
+
1
are prime numbers.
Back to Problems
View on AoPS