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57
A 57
A 57
Source:
May 25, 2007
Divisibility Theory
Problem Statement
Prove that for every
n
∈
N
n \in \mathbb{N}
n
∈
N
the following proposition holds:
7
∣
3
n
+
n
3
7|3^n +n^3
7∣
3
n
+
n
3
if and only if
7
∣
3
n
n
3
+
1
7|3^{n} n^3 +1
7∣
3
n
n
3
+
1
.
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