Prime Number Formula Generator

This project implements a sophisticated system for generating and optimizing mathematical formulas capable of identifying prime numbers. It utilizes genetic algorithms, metaprogramming techniques, and symbolic mathematics to evolve increasingly effective formulas.

Features

• FormulaGenerator: Creates random mathematical formulas
• GeneticAlgorithm: Evolves and optimizes the formulas
• Utility functions for formula evaluation and manipulation
• Dynamic operation generation
• Metaprogramming techniques for formula creation

Requirements

• Python 3.7+
• SymPy
• NumPy

Installation

Clone the repository and install the required dependencies:

git clone https://github.com/yourusername/prime-formula-generator.git
cd prime-formula-generator
pip install -r requirements.txt

Usage

To run the optimized prime formula generator:

from prime_formula_generator import run_optimized_prime_formula

run_optimized_prime_formula(100)  # Generate and evaluate formulas for primes up to 100

Project Structure

• prime_formula_generator.py: Main module containing all classes and functions
• README.md: This file
• requirements.txt: List of Python dependencies

Contributing

Contributions are welcome! Please feel free to submit a Pull Request.

License

This project is licensed under the MIT License - see the LICENSE file for details.

Acknowledgments

• SymPy library for symbolic mathematics
• NumPy for numerical computations