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 June 21st, 2018, 08:58 AM #1 Member   Joined: Aug 2017 From: India Posts: 54 Thanks: 2 Prime number solution I have come across the following question Find all integers n such that $\displaystyle |2n^3-6n^2+4n+3|$ is prime My attempt is this is the maximum I could reach $\displaystyle 2n^3-6n^2+4n+3 => 2n^2(n-3)+4n+3 => 2n^2(n-3) +(n-3)+ (3n+6) => (2n^2+1)(n-3)+3(n+2)$ How should I proceed further? Is it that I have to find the roots of the equation? Please help. Last edited by skipjack; June 21st, 2018 at 09:12 PM.
 June 21st, 2018, 09:34 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,647 Thanks: 1476

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