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Poland - Second Round
1960 Poland - Second Round
4
7 | 2^{n+2} + 3^{2n+1}
7 | 2^{n+2} + 3^{2n+1}
Source: Polish MO Second Round 1960 p4
August 31, 2024
number theory
divides
divisible
Problem Statement
Prove that if
n
n
n
is a non-negative integer, then number
2
n
+
2
+
3
2
n
+
1
2^{n+2} + 3^{2n+1}
2
n
+
2
+
3
2
n
+
1
is divisible by
7
7
7
.
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