| 4457 | Composite, with 1 known prime factor. Cofactor is composite. Trial Factored to 268 TF target 244 |
| Factored | | Factor | Digits | Bits | Date |
|---|
| 1631263 | 7 | 20.6 | 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 | 15711 / 40830 |
Estimated T-Level: 51.9 ⓘ 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 | FA6E9D0CC574B393 | 1 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | FA6E9D0CC574B393 | 1 | 984 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 42E3FE3A30E40BA8 | 1 | 3120 | 5 | 3 | | Verified | No proof (small exponent) | 2024-02-03 | Wentao Huang | 42E3FE3A30E40BA8 | 1 | 244 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-16 | masser | NF-PP1 | Start=121/59, B1=2100000000, B2=2097900000000 | | 2024-02-03 | Wentao Huang | C-PRP | M4457/1631263 : 42E3FE3A30E40BA8 | | 2023-05-23 | -anonymous- | NF-PM1 | B1=72000000000, B2=721841185927912050 | | 2020-04-17 | Oliver Kruse | C-PRP | M4457/1631263 : 42E3FE3A30E40BA8 | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M4457/1631263 : FA6E9D0CC574B393 | | 2017-09-21 | Oliver Kruse | C-PRP | M4457/1631263 : FA6E9D0CC574B393 | | 2017-09-21 | Oliver Kruse | C-PRP | M4457/1631263 : FA6E9D0CC574B393 |
|
