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1957 Moscow Mathematical Olympiad
357
MMO 357 Moscow MO 1957 (20^n + 16^n - 3^n - 1) divisible by 323
MMO 357 Moscow MO 1957 (20^n + 16^n - 3^n - 1) divisible by 323
Source:
August 20, 2019
number theory
divisible
Problem Statement
For which integer
n
n
n
is
N
=
2
0
n
+
1
6
n
−
3
n
−
1
N = 20^n + 16^n - 3^n - 1
N
=
2
0
n
+
1
6
n
−
3
n
−
1
divisible by
323
323
323
?
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