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Vietnam Team Selection Test
2016 Vietnam Team Selection Test
1
Vietnam TST 2016 Problem 1
Vietnam TST 2016 Problem 1
Source: Vietnam TST 2016
March 25, 2016
number theory
Problem Statement
Find all
a
,
n
∈
Z
+
a,n\in\mathbb{Z}^+
a
,
n
∈
Z
+
(
a
>
2
a>2
a
>
2
) such that each prime divisor of
a
n
−
1
a^n-1
a
n
−
1
is also prime divisor of
a
3
2016
−
1
a^{3^{2016}}-1
a
3
2016
−
1
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