The algorithm is here
https://github.com/sympy/sympy/blob/2e4e90b1b0243c85949eb1633f0546466b00829f/sympy/core/numbers.py#L1758-L1862.
The workhorse is factorint (Integer.factor()), whose algorithm is at
https://github.com/sympy/sympy/blob/2e4e90b1b0243c85949eb1633f0546466b00829f/sympy/ntheory/factor_.py.

Aaron Meurer

On Fri, Dec 19, 2014 at 6:09 AM, utpal kumar Jha <[email protected]> wrote:
> hello all i was going through sympy module and while going through the
> sample tutorial i found sympy.sqrt(x) which in turn would return me a
> positive integer multiplied by a number whose square root value won't be an
> integer .. so i took a very big number of the order of 100 digits and it
> returned me result just too quickly i thought what kind of algorithm goes
> into internal functionality . If someone could help me out on that i would
> appreciate it . for now i am just getting myself familiar with this module
> of python am i heading in right direction my ultimate objective is to apply
> for Gsoc coming year .. Any answers would be appreciated ..
>
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