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Mcp Parigp

daedalus/mcp-parigp
1STDIOregistry active
Summary

Brings PARI/GP's number theory capabilities into Claude through the cypari2 Python binding. You get direct access to integer factorization, primality testing, Euler's totient, polynomial root finding, and more specialized operations like computing cyclotomic polynomials or Jacobi symbols. The server also exposes number field arithmetic, elliptic curve functions including torsion groups and canonical heights, and matrix operations. Reach for this when you need computational number theory beyond basic arithmetic, whether you're exploring Diophantine equations, working with algebraic number fields, or analyzing elliptic curves. The API surface is comprehensive enough for serious mathematical work while staying close to PARI/GP's native function names.

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mcp-parigp

MCP server exposing cypari2 (PARI/GP) number theory library

PyPI Python Coverage Ruff

mcp-name: io.github.daedalus/mcp-parigp

Install

pip install mcp-parigp

Usage

As MCP Server

Run directly:

mcp-parigp

Or use with an MCP client by configuring in your settings:

{
  "mcpServers": {
    "mcp-parigp": {
      "command": "mcp-parigp"
    }
  }
}

In Python

from mcp_parigp import eval_expression, factor, isprime

# Evaluate PARI/GP expressions
result = eval_expression("factor(100)")
print(result)  # [[2, 2], [5, 2]]

# Factor integers
print(factor(100))  # [[2, 2], [5, 2]]

# Test primality
print(isprime(29))  # True

API

Number Theory

  • factor(n) - Factor an integer
  • isprime(n) - Test if n is prime
  • gcd(a, b) - Greatest common divisor
  • phi(n) - Euler's totient function
  • sigma(n, k) - Sum of k-th power of divisors
  • jacobi(a, n) - Jacobi symbol
  • znorder(x, n) - Multiplicative order modulo n
  • primes(n) - First n primes
  • nextprime(n) - Next prime after n

Polynomials

  • polroots(pol) - Find roots of polynomial
  • polcyclo(n) - n-th cyclotomic polynomial
  • deriv(pol) - Derivative of polynomial
  • subst(pol, v, expr) - Substitute in polynomial

Number Fields

  • nfinit(pol) - Initialize number field
  • bnfinit(pol) - Initialize with Buchmann's algorithm
  • idealadd(nf, a, b) - Add ideals
  • idealmul(nf, a, b) - Multiply ideals

Elliptic Curves

  • ellinit(eq) - Initialize elliptic curve
  • ellap(E, p) - Trace of Frobenius at p
  • elltors(E) - Torsion subgroup
  • ellheight(E, P) - Canonical height

Matrices

  • matid(n) - n×n identity matrix
  • matdet(m) - Matrix determinant
  • matinv(m) - Matrix inverse
  • matrank(m) - Matrix rank

Elementary Functions

  • sin, cos, tan, asin, acos, atan
  • sinh, cosh, tanh, asinh, acosh, atanh
  • exp, log, sqrt, abs
  • pi(), euler(), I()

Development

git clone https://github.com/daedalus/mcp-parigp.git
cd mcp-parigp
pip install -e ".[test]"

# run tests
pytest

# format
ruff format src/ tests/

# lint
ruff check src/ tests/

# type check
mypy src/
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Registryactive
Packagemcp-parigp
TransportSTDIO
UpdatedMar 30, 2026
View on GitHub