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6
IMC 2020 Problem 6
IMC 2020 Problem 6
Source: IMC 2020
July 28, 2020
IMC
number theory
prime numbers
IMC 2020
Problem Statement
Find all prime numbers
p
p
p
such that there exists a unique
a
∈
Z
p
a \in \mathbb{Z}_p
a
∈
Z
p
for which
a
3
−
3
a
+
1
=
0.
a^3 - 3a + 1 = 0.
a
3
−
3
a
+
1
=
0.
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