Maths Olympiad Prep

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Algebra Difficulty 4.8 AIME Find the answer

Find the largest prime factor of x10x8x6x4x21-x^{10}-x^{8}-x^{6}-x^{4}-x^{2}-1, where x=2ix=2 i, i=1i=\sqrt{-1}.

A number or a short expression. Spacing and $ signs are ignored.

Solution

13.

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