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Bundeswettbewerb Mathematik
2014 Bundeswettbewerb Mathematik
1
3^(n+1) | 2^(3^n)+1: BWM 2014: P5
3^(n+1) | 2^(3^n)+1: BWM 2014: P5
Source:
October 7, 2014
Euler
modular arithmetic
Problem Statement
Show that for all positive integers
n
n
n
, the number
2
3
n
+
1
2^{3^n}+1
2
3
n
+
1
is divisible by
3
n
+
1
3^{n+1}
3
n
+
1
.
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