Choose RSA Key Size
🎯 Current Analysis: 64-bit RSA
Easily factorizable - suitable for demonstration and learning purposes
📊 Classical Methods
Algorithm:
Trial Division
Time Complexity:
O(√n)
Estimated Time:
Milliseconds
Hardware:
Standard Computer
Success Rate:
~95%
⚡ T0-Framework
Algorithm:
Adaptive Period Finding
Operations:
~1,200
Estimated Time:
Milliseconds
Hardware:
Standard Computer
Success Rate:
100%
Performance Comparison for Different RSA Sizes
| RSA Size | Classical (Estimate) | T0-Framework | Practicality | Hardware Requirement |
|---|---|---|---|---|
| 64-bit | Milliseconds | Milliseconds | ✅ Demo/Learning | Standard PC |
| 128-bit | Seconds | Seconds | ✅ Feasible | Standard PC |
| 256-bit | Minutes-Hours | Minutes | ⚠️ Challenging | Powerful PC |
| 512-bit | Years | Hours-Days | ⚠️ Borderline | Server/Cluster |
| 1024-bit | Centuries | Weeks-Months | ❌ Practical Limit | Supercomputer |
| 2048-bit | Astronomical | Years-Decades | ❌ Not Practical | Not Realistic |
⚠️ Realistic Hardware Limitations
The T0-Framework offers improvements, but no miracles:
- Effective for small RSA keys (≤256 bit)
- Significant improvement for medium sizes (512 bit)
- Practical limits for large keys (1024+ bit)
- Modern RSA-2048 remains secure against this approach
🧪 Live Demonstration
Test the T0-Framework with real numbers:
Ready for demonstration. Choose a number to factorize.
Realistic Timeline
Today
T0-Framework Available
Effective for RSA ≤256 bit, research and education
2025-2030
Hardware Improvements
Possibly RSA-512 in practical time
2030+
Algorithm Optimizations
Further improvements, but RSA-2048+ remains secure