Fast prime factorization module

by

If you don’t want to reinvent the wheel, use the library sympy

pip install sympy

Use the function sympy.ntheory.factorint

Given a positive integer n, factorint(n) returns a dict containing
the prime factors of n as keys and their respective multiplicities
as values. For example:

Example:

>>> from sympy.ntheory import factorint
>>> factorint(10**20+1)
{73: 1, 5964848081: 1, 1676321: 1, 137: 1}

You can factor some very large numbers:

>>> factorint(10**100+1)
{401: 1, 5964848081: 1, 1676321: 1, 1601: 1, 1201: 1, 137: 1, 73: 1, 129694419029057750551385771184564274499075700947656757821537291527196801: 1}

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