MathDB

divisibility with p when p=17^{2n}+4 for some natural n

Source: Balkan MO ShortList 2011 N2

April 6, 2020

Problem Statement

Let

n \in \mathbb{N}

such that

p=17^{2n}+4

is a prime. Show \begin{align*} p \mid 7^{\tfrac{p-1}{2}} +1 \end{align*}