JBMO-SL 2016 N3

Find all positive integers $n$ such that the number $A_{n}=\frac{2^{4 n+2}+1}{65}$ is

a) an integer;

b) a prime.

Dataset text NuminaMath olympiads. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

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