# A number theory problem by Daniel Remo

**Number Theory**Level 3

Let \(x,n,r >1\) be positive integers and \(p\) a prime. Find the sum of all values of \(x,n,r,p\) such that

\(x^{n}-1=p^{r}\)

Let \(x,n,r >1\) be positive integers and \(p\) a prime. Find the sum of all values of \(x,n,r,p\) such that

\(x^{n}-1=p^{r}\)

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