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Regional Mathematical Olympiad
2008 India Regional Mathematical Olympiad
4
Number Theory
Number Theory
Source: Excursion
June 25, 2020
number theory
Divisibility
Natural Numbers
Problem Statement
Determine all the natural numbers
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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