pari
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Description:
Computer algebra system designed for fast computations in number theory
Type: Formula  |  Tracked Since: Dec 28, 2025
Links: Homepage  |  formulae.brew.sh
Category: Other
Tags: mathematics number-theory cas scientific-computing algebra
Install: brew install pari
About:
PARI/GP is a computer algebra system focused on number theory, providing a high-level language for computational mathematics. It excels at manipulating complex numbers, polynomials, matrices, and algebraic numbers with specialized tools for advanced arithmetic. Its primary value is delivering highly optimized algorithms for tasks like elliptic curves, modular forms, and class field theory.
Key Features:
  • Specialized algorithms for number theory and algebraic geometry
  • Interactive command-line interface (GP) for rapid prototyping
  • High-precision arithmetic support
  • Extensive library of C functions for custom development
Use Cases:
  • Research in number theory and arithmetic geometry
  • Cryptographic analysis and algorithm testing
  • Educational tool for advanced mathematics courses
Alternatives:
  • SageMath – SageMath is a broader ecosystem integrating many open-source tools, while PARI/GP is a specialized, standalone CAS focused on number theory.
  • Magma – Magma is a proprietary commercial system with similar focus but requires a paid license, whereas PARI/GP is free and open source.
Version History
Detected Version Rev Change Commit
Sep 10, 2025 11:51pm 0 VERSION_BUMP 060338c2
Sep 30, 2024 11:32am 0 VERSION_BUMP b83ff371