Comprehensive Number Theory Utilities: Prime and GCD Algorithms

[laura-abro]

Comprehensive Number Theory Utilities: Prime and GCD Algorithms

Description

Summary of Work

This pull request consolidates a robust suite of number theory utilities, providing efficient and well-tested algorithms for prime number analysis, factorization, and greatest common divisor (GCD) calculations.

Key Objectives

• Implement a comprehensive set of mathematical utility functions
• Provide reliable and performant number theory operations
• Ensure robust error handling and input validation

Benefits

• Enhanced computational mathematics capabilities
• Modular and extensible design
• Extensive test coverage across multiple scenarios

Project Impact

The new utilities offer a solid foundation for mathematical computations, with particular strengths in:

• Prime number identification
• Prime factorization
• Greatest Common Divisor calculations

These tools can be leveraged in various domains including cryptography, scientific computing, and algorithmic problem-solving.

Changes Made

Functional Enhancements:

• Implemented prime number checking algorithm
• Developed prime factorization utility
• Created GCD (Greatest Common Divisor) calculator

Algorithmic Improvements:

• Optimized prime number detection
• Implemented efficient factorization method
• Added comprehensive input validation

Architectural Changes:

• Modular design with separate modules for:
  • Prime checking
  • Prime factorization
  • GCD calculations
• Consistent error handling across modules

Tests and Verification

Test Coverage Highlights:

• 16 comprehensive tests implemented
• Verified functionality across multiple scenarios:
  • Normal input processing
  • Edge case handling
  • Large number calculations
  • Error condition detection

Test Domains:

• Prime number identification (positive/negative cases)
• Prime factorization accuracy
• GCD calculation correctness
• Input validation and error handling

Verification Approach:

• Full test suite passed with 100% success
• Tested input ranges from small to large numbers
• Validated error handling and input type checking

PRs Merged

The following pull requests have been merged:

• #5: Implement Robust Prime Number Checker Function from @momstrosity
• #6: Implement Prime Factorization Function with Frequency Tracking from @momstrosity
• #7: Implement GCD Calculator with Prime Factors Decomposition from @laura-abro

Signatures

Staking Key

5EmgCQSgPD79JWPQ6KMAV35kUNxasNQymeWuQXfJPmVk: 3XzCGXoxR2iV2ncobj6RqQ6izTzaemZUc3YsAudyAUz5tBu2rLYndmsRiGm6MZ2NgcMDQEhHUsmLtcHxRuzaEpm7jFKgzPgnHSG2rdDGLnX69HiyVExR5NzKwRs48CMYtVQ11amZkM6Wtue3gM7k8QE3mA796eid3akoezSVBkU8ZRMmNnxeCcHL5fsL5UUiUUo1YpAsvWek8wFqQLADAbYMmntbjMW6s8UAYwiJsaRFNjDzkRpE8XBUVJHPMPMWX2qDYKL7oiXZaWLobYDodami2SaTen8NLUr4JXbP94nJZ1bgf8DuxdRd5YkZksXwwXSqKCK3RdD5xPmS9MJs8Vnc5A3UyJrSQaAiXMBczyV11mcFGhDYSQ5A1B8w5ikFtWmZMPzpcsqRx7cCFQikaiBnjVLwZPq3P6tk

Public Key

8U4eXGpP28X2i8wDEDxwGUdSdPuz7xuMBvpFuVyPDNKz: 274sJpsWt1kx75dYs2dpz1eJp8TD1dKrKLqUwsEWwn83x1ZhaiQZmcuDsYGigHLuyhKat8RKzyeiqEY7bRVPieWGrj8BzTUfuiwqe7XV79yYvcp8WNksAzdbdoHi1rviy3yok68cFo8cGwvFiSN88Agu19xjp5DGPChUHFXtL6ah86ifTSbcCC5UvQmDH1qYmrNQDDF1cDKGGDQ2GCemV2w4oGHvnThMaVSRwtNBq6m9QhKmuC5nz5DsxPv16q3rE5Z4DCtCcZLvCSqHUnkRh2wFLrAEuBCiz77nVZUaGnz83KHkUcXFfJCPRXoxsDMy1rw4mhPi22KwARRnouZXSGR7paoHfjCSyAQ3uMsB5fbHAogCLexvsmjDZxSsp8JyQvs6u4i8NVRCzx1sgRHdjDDP5U3FseBnbLha

[momstrosity]

Prime Factorization Implementation

Description

Implementation of prime factorization function with comprehensive tests

Recommendation

APPROVE

Reasons:

• Complete implementation of prime factorization
• Comprehensive test coverage
• Robust error handling
• Handles various input scenarios

Unmet Requirements

All requirements met

Tests

Failed Tests

No failing tests

Missing Test Cases

No missing test cases identified

Action Items

No action items required

Signatures

Staking Key

AEghvdqmRtc3fjKXfNTMJJ6WshksgWuJ9YBExgsZu8cN: 5NrvwumE2Wi6uvfB296vFASs7w2BkiQeiGSkUf4ZyvdjnHwXKGE5fhTTPQt8oqc3xbUxKTEDjbJJjHSJYFSmpZJMi8pfimSe2VRWYBmuoUphjC8ySJFsm2xn98pRxLaAUoJ9kBR2u1cetV7VUwbLtLa7QuAvPsL9uXGvY6QxDijdrbnf5fPyXWwGH3F3TATN2g8PukKqsT3QU7ii7P1KgGX6mjjp2z6LZDNphYxTq8dJc9PJZnwgmeGG8Fk4buBUfs11SA6fUCpRQRvtc3N

Public Key

AwXAtX7tMhL4JyB8NfXdsrqc1UifaMyap3c9bpN9RMse: 3qTBe3qzAZ3gHkTs4hQiSsifQnw5Xx8RhBL1tnuacr3uGoqeZrFPZtkvK8LaFwSwgYcFgvWrt8k5Jo5SZPrpgqP8kaw5qmG6MKaWqXr6YhTy6Nx8VozyuNfnZPT1GDue7dv3pNBNmHdqrqoZYcYAvbrXkx2UAHSuWFaLn733yg6EypgxcYN68uv43gTTTLbvVesMsttBWV33u2i2rtHitm4Bi6qvVq2aSmXAcp6pXJTS3xd1YUGbcPf4scMzvhA8Ng9i4Q5cCv799tN58pC