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For questions about factorization, the decomposition of mathematical objects (e.g. natural numbers, polynomials) into products of smaller objects (e.g. primes, lower degree polynomials).
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Reduction from factoring to solving Pell equation
I agree with Lemmermeyer, reductions of Factoring to Pell's Equation do not seem to yield an efficient method to factor Fermat numbers, or at least, not in a straightforward fashion.
To see this bett …