MathDB
Complex Numbers are Real

Source: 2018 AIME I #6

March 7, 2018
complex numbersAMCAIMEAIME I2018 AIME I

Problem Statement

Let NN be the number of complex numbers zz with the properties that ∣z∣=1|z|=1 and z6!−z5!z^{6!}-z^{5!} is a real number. Find the remainder when NN is divided by 10001000.
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