For how many positive integers \(n\geq 2\) is \(1001_n\) a prime number?
\(1000_n\) means 1000 but in base n, and so you know what \(1001_n\) is.
\(1001_n = n^3+1 = (n+1)(n^2-n+1) \text{ is never prime}\)
+537 
