| 4451 | Composite, with 2 known prime factors. Cofactor is composite. Trial Factored to 268 TF target 244 |
| Factored | |
| ECM | | Digits | B1 | Curves |
|---|
| 25 | 50000 | 280 / 280 | | 30 | 250000 | 640 / 640 | | 35 | 1000000 | 1566 / 1566 | | 40 | 3000000 | 4588 / 4588 | | 45 | 11000000 | 9201 / 9201 | | 50 | 44000000 | 16550 / 16550 | | 55 | 110000000 | 14597 / 40830 |
Estimated T-Level: 51.8 ⓘ TF below 2^167 is very unlikely to find new factors due to ECM effort. |
| PRP Cofactor | | Status | Proof | Date | User | Residue | Number of
known factors | Shift | Type | Base |
|---|
| Verified | No proof (small exponent) | 2017-09-21 | Oliver Kruse | 2039B342E58A3C71 | 2 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-02 | kkmrkkblmbrbk | 2039B342E58A3C71 | 2 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-12-07 | ATH | 2039B342E58A3C71 | 2 | 84 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 9CF9B6B44CCAA688 | 2 | 1306 | 5 | 3 | | Verified | No proof (small exponent) | 2024-02-03 | Wentao Huang | 9CF9B6B44CCAA688 | 2 | 1226 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-16 | masser | NF-PP1 | Start=83/47, B1=2100000000, B2=2097900000000 | | 2024-02-03 | Wentao Huang | C-PRP | M4451/196315807/816397708950452904657626458909282228481 : 9CF9B6B44CCAA688 | | 2023-05-23 | -anonymous- | NF-PM1 | B1=72000000000, B2=721841185927912050 | | 2020-04-17 | Oliver Kruse | C-PRP | M4451/196315807/816397708950452904657626458909282228481 : 9CF9B6B44CCAA688 | | 2017-12-07 | ATH | C-PRP | M4451/196315807/816397708950452904657626458909282228481 : 2039B342E58A3C71 | | 2017-10-02 | kkmrkkblmbrbk | C-PRP | M4451/196315807/816397708950452904657626458909282228481 : 2039B342E58A3C71 | | 2017-09-21 | Oliver Kruse | C-PRP | M4451/known_factors : 2039B342E58A3C71 |
|
