primes – Weekly Mathematics

Refreshing problem

There isn’t too much going in this question.Nonetheless,I just liked it for some bloody reason.

Let $a$ and $n$ be positive integers where $a>1$ .If $a^{n}+1$ is prime,prove that $a$ is even and n is of the form $2^{m}$ where $m \in \mathbb{N}$

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