# Primitivity Rules

For any positive integer $$n$$, we define the cyclotomic polynomial $$\Phi_n(x)=\prod(x-w)$$, where the product is taken over all primitive nth roots of unity, $$w$$. What can we say about the coefficients of the cyclotomic polynomials?

Extra Credit Question: Does the number 2 appear as a coefficient of a cyclotomic polynomial?

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