MathDB
Problems
Contests
International Contests
Silk Road
2017 Silk Road
4
4
Part of
2017 Silk Road
Problems
(1)
Number theory
Source: Silk way 2017
3/27/2017
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
.
Silk Way
number theory
primitive root