Fix bugs and use sympy lib to Upgrade and Upgrade grammer to Python 3.14

[lighting9999]

Description

This PR introduces several enhancements and bug fixes across multiple scripts in the repository, with a focus on modernizing the codebase and improving performance.

Key Changes:

• Optimized primelib.py: Refactored the prime number utilities library. Replaced custom implementations with sympy for faster and more reliable prime factorization and primality testing[reference:1].
• Improved Add_two_Linked_List.py: Fixed a logical error in the linked list addition algorithm and refactored the code for better readability and correctness.
• Modernized Codebase:
  • Updated syntax and features to be compatible with Python 3.14[reference:2].
  • Added comprehensive type hints to all functions for better code clarity and IDE support.
  • Enhanced docstrings with doctest examples to serve as both documentation and tests.
• General Code Quality:
  • Fixed minor bugs and potential runtime errors.
  • Improved code formatting and adhered to PEP 8 style guidelines.
  • Removed redundant code and simplified complex logic.

Type of Change

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Documentation update
• Code cleanup/refactoring

Related Issues

Closes #(issue number)

Testing

Please describe the tests you've run to verify your changes:

• Manual testing
• Added automated tests (doctests)
• Existing tests pass

All added doctests have been verified using python -m doctest -v. Existing functionality remains unchanged.

Checklist

• My code follows the project's code style
• I have commented my code, particularly in hard-to-understand areas
• I have updated the README.md if needed
• My changes generate no new warnings
• I have tested my code locally
• New and existing tests pass with my changes