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For a positive integer, g, let \(p(g)=g^2+g+1\). Find the largest positive integer g such that \(​​​​1000 p(1^2) p(2^2) \dotsm p(g^2) \ge p(1)^2 p(2)^2 \dotsm p(g)^2.\)

 Oct 15, 2019
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The answer is 14.

 Oct 29, 2019

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