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5
Italian mathematical olympiad 2002, problem 5
Italian mathematical olympiad 2002, problem 5
Source:
February 13, 2012
modular arithmetic
number theory proposed
number theory
Problem Statement
Prove that if
m
=
5
n
+
3
n
+
1
m=5^n+3^n+1
m
=
5
n
+
3
n
+
1
is a prime, then
12
12
12
divides
n
n
n
.
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