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2017 Silk Road
4
Number theory
Number theory
Source: Silk way 2017
March 27, 2017
Silk Way
number theory
primitive root
Problem Statement
Prove that for each prime
P
=
9
k
+
1
P =9k+1
P
=
9
k
+
1
,exist natural n such that
P
∣
n
3
−
3
n
+
1
P|n^3-3n+1
P
∣
n
3
−
3
n
+
1
.
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