| 4513 | Composite, with 1 known prime factor. Cofactor is composite. Trial Factored to 268 TF target 244 |
| Factored | | Factor | Digits | Bits | Date |
|---|
| 135391 | 6 | 17.0 | old |
|
| 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 | 15922 / 40830 |
Estimated T-Level: 51.9 ⓘ TF below 2^168 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 | CFE63A465396CA51 | 1 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | CFE63A465396CA51 | 1 | 1793 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 6FFA09AA2BDD9EE6 | 1 | 506 | 5 | 3 | | Verified | No proof (small exponent) | 2024-02-03 | Wentao Huang | 6FFA09AA2BDD9EE6 | 1 | 2458 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-17 | masser | NF-PP1 | Start=98/37, B1=2100000000, B2=2097900000000 | | 2024-02-03 | Wentao Huang | C-PRP | M4513/135391 : 6FFA09AA2BDD9EE6 | | 2023-05-24 | -anonymous- | NF-PM1 | B1=71000000000, B2=711884755657775700 | | 2021-07-07 | ViliamF | NF-PM1 | B1=1000000000, B2=201000000000 | | 2020-04-17 | Oliver Kruse | C-PRP | M4513/135391 : 6FFA09AA2BDD9EE6 | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M4513/135391 : CFE63A465396CA51 | | 2017-09-21 | Oliver Kruse | C-PRP | M4513/135391 : CFE63A465396CA51 | | 2017-09-21 | Oliver Kruse | C-PRP | M4513/135391 : CFE63A465396CA51 |
|
