MathDB
Problems
Contests
National and Regional Contests
India Contests
India National Olympiad
2003 India National Olympiad
2
Find all primes
Find all primes
Source: India National Olympiad 2003, Problem 2
March 10, 2005
inequalities
number theory
Problem Statement
Find all primes
p
,
q
p,q
p
,
q
and even
n
>
2
n>2
n
>
2
such that
p
n
+
p
n
ā
1
+
.
.
.
+
1
=
q
2
+
q
+
1
p^n+p^{n-1}+...+1=q^2+q+1
p
n
+
p
n
ā
1
+
...
+
1
=
q
2
+
q
+
1
.
Back to Problems
View on AoPS