I am extremely intrigued to work with SymPy for the upcoming Google Summer 
of Code. I have particular interest in number theory and its methods for 
semiprime factorization. Right now, sympy has pho rollard, pho's p-1 and 
fermat's test for semiprime factorization.

http://docs.sympy.org/dev/_modules/sympy/ntheory/factor_.html

I would like to expand sympy's number theory class with more integer 
factorization methods:
- General Number Field Sieve
- Special Number Field Sieve
- Quadratic Sieve
etc.

I would love to know if this is a possible idea to work on this summer for 
sympy!

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