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This section has several Number Theory software.
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Number Theory   ([CM] Commercial, [SR] Shareware, [GPL] GPL)

CLN [GPL] -- a C++ class library for numbers. ECPP -- a software package for primality proving.
KANT/KASH -- computational algebraic number theory.
LiDIA -- C++ library for computational number theory.
Number Theoretic bc [GPL] -- a fast prototyping scripting language for use in number theoretic applications.
NTL [GPL] -- a library for doing number theory.
Pari/GP [GPL] -- formal computations on recursive types at high speed.
SIMATH -- computer algebra system for number theoretic purposes.

Also Check Out:
Algae[GPL] -- a high-level interpreted language for numerical analysis.
ARIBAS [GPL] -- an interactive interpreter for big integer and multi-precision floating point arithmetic.
MAGMA -- a system for algebra, number theory, geometry and combinatorics.

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