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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).
2
votes
Reference Request on the existence of $k$ satisfying $P(\Phi_d(2))^k \gt \Phi_d(2)$ for all $d$
Bressoud, Factorization and Primality Testing.
Springer-Verlag, 1989.
For all $k$ the value of this function is strictly positive. …
14
votes
How did Cole factor $2^{67}-1$ in 1903?
With this, it takes $8$ polynomials until it finds enough
factorizations over the factor base (including relations with a large factor)
to obtain a factorization of $N$. …