Find all integers n for which this fraction is an integer

AI Thread Summary
The discussion focuses on finding integer values of n for which the expression (n^3 + 2010) / (n^2 + 2010) results in an integer. The only straightforward solutions identified are n = 0 and n = 1. It is noted that no integers satisfy the condition n^3 + 2010 = 0. Participants suggest using programming to brute force potential solutions. The conversation emphasizes the challenge of identifying additional integer solutions beyond the obvious ones.
mr.green717
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Find all integers n for which the fraction n ^ 3 + 2010 / (n ^ 2 + 2010) is equal to integer.

please I need help :( Thank you
 
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Which values immediately come to your mind?
 


0 and 1
 


Right, those are the only two that are easy to find. Another possibility would have been to find an integer such that n^3 + 2010=0 but there are none. If you have any programming skill you could try and brute force it with a relatively easy to implement algorithm.
 

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