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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.

 Jan 28, 2019

Best Answer 

 #1
avatar+4810 
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\(1001_n = n^3+1 = (n+1)(n^2-n+1) \text{ is never prime}\)

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 Jan 28, 2019
 #1
avatar+4810 
+3
Best Answer

\(1001_n = n^3+1 = (n+1)(n^2-n+1) \text{ is never prime}\)

Rom Jan 28, 2019

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