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1898 Eotvos Mathematical Competition
1
Determine all positive integers $n$ for which $2^n + 1$ is divisible by $3$.
Determine all positive integers $n$ for which $2^n + 1$ is divisible by $3$.
Source: Eotvos 1898 p1
March 14, 2020
algebra
Problem Statement
Determine all positive integers
n
n
n
for which
2
n
+
1
2^n + 1
2
n
+
1
is divisible by
3
3
3
.
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