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modular-arithmetic

Compute modular inverses and solve congruences with Python scripts.

3.9k|296|Updated Dec 23, 2025
Search Tags:#graph theory#number theory#modular arithmetic#extended euclidean algorithm#chinese remainder theorem#euler's theorem
One-click install
npx skills add https://github.com/parcadei/Continuous-Claude-v3 --skill modular-arithmetic-parcadei
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: modular-arithmetic
Source: https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/graph-number-theory/modular-arithmetic
Command: npx skills add https://github.com/parcadei/Continuous-Claude-v3 --skill modular-arithmetic-parcadei

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires sympy, z3, and includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill provides strategies and tools for solving problems involving modular arithmetic within the context of graph number theory.

Core Features & Use Cases

  • Modular Inverse Calculation: Uses the Extended Euclidean Algorithm to find modular inverses.
  • Chinese Remainder Theorem Application: Solves systems of congruences.
  • Euler's Theorem and Quadratic Residues: Aids in simplifying expressions and determining properties of numbers modulo n.
  • Use Case: When analyzing graph properties that depend on number-theoretic relationships, such as cycle lengths or coloring constraints, this skill helps in applying modular arithmetic principles.

Quick Start

Use the modular-arithmetic skill to find the modular inverse of 7 modulo 26.

Frequently Asked Questions about modular-arithmetic

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calculate a modular inverse using the Extended Euclidean Algorithm?▼

To calculate a modular inverse, this Skill applies the Extended Euclidean Algorithm via Python scripts to find the multiplicative inverse of a number modulo n, such as the inverse of 7 modulo 26.

How do I solve a system of congruences with the Chinese Remainder Theorem?▼

To solve a system of congruences, this Skill uses the Chinese Remainder Theorem to compute a simultaneous solution for multiple modular equations, leveraging symbolic computation for accurate results.

Can I use sympy and z3 for symbolic computation and theorem proving in modular arithmetic?▼

Yes, this Skill requires sympy and z3 to perform symbolic computation and automated theorem proving, enabling the execution of complex modular arithmetic calculations and verification of number-theoretic properties.

How does Euler's Theorem apply to simplifying modular arithmetic expressions?▼

Euler's Theorem is applied within this Skill to simplify large modular expressions and determine quadratic residues, aiding in the analysis of number-theoretic properties like cycle lengths and graph coloring constraints.

When do I need modular arithmetic for graph number theory problems?▼

You need modular arithmetic for graph number theory when analyzing graph properties that depend on number-theoretic relationships, such as determining cycle lengths or resolving graph coloring constraints.

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