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Contests
International Contests
Pan African
2003 Pan African
2
divisible by 21
divisible by 21
Source: Pan African 2003
October 4, 2005
Problem Statement
Find all positive integers
n
n
n
such that
21
21
21
divides
2
2
n
+
2
n
+
1
2^{2^n}+2^n+1
2
2
n
+
2
n
+
1
.
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