Project: Prime Sum Combinations Script

Description

This Python script finds all possible prime number combinations that sum up to a given integer. It then determines which combination yields the largest product when its elements are multiplied together.

Features

• Takes a user input (integer).
• Generates all possible prime number combinations that sum to the given number.
• Computes the product of each combination.
• Identifies the combination with the largest product.
• Displays the largest product and the corresponding prime sum combination.

Usage

1. Run the script using Python:

   python main.py

2. Enter a number when prompted.
3. The script will:
   • Find prime numbers up to the given number.
   • Determine all prime sum combinations.
   • Calculate the product of each combination.
   • Output the combination that yields the largest product.

Example Output

Enter a number: 10

Largest product: 25
5+5

Notes

• Uses a sieve algorithm to generate prime numbers efficiently.
• Recursively finds prime sum combinations.
• May not handle very large numbers efficiently due to recursion depth and performance constraints.

License

This project is open-source. Feel free to modify and use it as needed.

Author

Mazarin