Why can’t you use cyclotomic polynomials to factor big numbers really quickly? – mathoverflow.net

Why can’t you use cyclotomic polynomials to factor big numbers really quickly? – mathoverflow.net

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Two simple remarks: The polynomial $x^k-1$ can be factorised over the integers as a product of (irreducible) cyclotomic polynomials: $$x^k-1 = \prod_{d|k}\Phi_d(x).$$ If we choose $k$ to be a number ...

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