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Kosovo Mathematical Olympiad 2016 TST , Problem 2
Kosovo Mathematical Olympiad 2016 TST , Problem 2
Source:
January 9, 2017
number theory
TST
Kosovo
2016
Problem Statement
Show that for all positive integers
n
≥
2
n\geq 2
n
≥
2
the last digit of the number
2
2
n
+
1
2^{2^n}+1
2
2
n
+
1
is
7
7
7
.
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