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mpqs module provide factrization by MPQS.
Enumerate the primes up to n.
Return 30 times values of each prime until n.
Factorize n by MPQS method. s is the range of sieve, f is the number of FactorBase, and m is multiplier. MPQS proper to factorize a large number.
Find a factor of n by MPQS method. Optional arguments have the same meaning as of mpqs. verbose default to False toggles verbosity.