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June 21st, 2018, 07:58 AM   #1
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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 08:12 PM.
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June 21st, 2018, 08:34 AM   #2
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https://www.quora.com/How-do-we-find...4n-3-is-prime#
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