Mock AIME 1 2010 Problems/Problem 6

Problem

Find the number of Gaussian integers $z$ with magnitude less than 10000 such that there exists a different Gaussian integer $w$ such that $z = w^4$ . (The magnitude of a complex $a+bi$ , where $a$ and $b$ are reals, is defined to be $\sqrt{a^2+b^2}$ . A Gaussian integer is defined to be a complex number whose real and imaginary parts are both integers.)

Solution

$\boxed{076}$ .

Mock AIME 1 2010 (Problems, Source)
Preceded by Problem 5	Followed by Problem 7
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Mock AIME 1 2010 Problems/Problem 6

Problem

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