INMO 2003 Problem 2

Find all primes $p$ and $q$ , and even numbers $n>2$ , satisfying the equation

$p^{n}+p^{n-1}+\cdots+p+1=q^{2}+q+1$

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

p=2, q=5, n=4

Solutions

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