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Problems
Contests
National and Regional Contests
Switzerland Contests
Switzerland - Final Round
2009 Switzerland - Final Round
10
10
Part of
2009 Switzerland - Final Round
Problems
(1)
4^n + 1 has a prime divisor > 20
Source: Switzerland - 2009 Swiss MO Final Round p10
12/26/2022
Let
n
>
3
n > 3
n
>
3
be a natural number. Prove that
4
n
+
1
4^n + 1
4
n
+
1
has a prime divisor
>
20
> 20
>
20
.
number theory
divisor