| 4091 | Composite, with 1 known prime factor. Cofactor is composite. Trial Factored to 268 TF target 244 |
| Assignments | | Assigned | User | Work Type | Stage | % Done | Updated | Est Complete | Expired |
|---|
| 2025-10-15 | Phyxick | ECM | | | 2025-10-15 | 1970-01-01 | |
|
| 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 | 16227 / 40830 |
Estimated T-Level: 52.0 ⓘ 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 | 31D31D33E2A31D5E | 1 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | 31D31D33E2A31D5E | 1 | 2246 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 3594DC9B30A128F9 | 1 | 3054 | 5 | 3 | | Verified | No proof (small exponent) | 2024-02-03 | Wentao Huang | 3594DC9B30A128F9 | 1 | 1404 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-10 | masser | NF-PP1 | Start=191/47, B1=2600000000, B2=2597400000000 | | 2024-02-03 | Wentao Huang | C-PRP | M4091/1009611726327533941115754978617 : 3594DC9B30A128F9 | | 2023-05-17 | -anonymous- | NF-PM1 | B1=79000000000, B2=797496463397964330 | | 2020-04-17 | Oliver Kruse | C-PRP | M4091/1009611726327533941115754978617 : 3594DC9B30A128F9 | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M4091/1009611726327533941115754978617 : 31D31D33E2A31D5E | | 2017-09-21 | Oliver Kruse | C-PRP | M4091/1009611726327533941115754978617 : 31D31D33E2A31D5E | | 2017-09-21 | Oliver Kruse | C-PRP | M4091/1009611726327533941115754978617 : 31D31D33E2A31D5E | | 2001-06-30 | -anonymous- | NF-PM1 | B1=3000000000, B2=4290000000 | | 2001-06-17 | -anonymous- | NF-PM1 | B1=43000000, B2=4290000000 | | 2001-02-11 | -anonymous- | NF-PM1 | B1=1000000, B2=100000000 | | 2000-08-24 | -anonymous- | NF | no factor TF: 1-56 | | 2000-02-09 | -anonymous- | NF | no factor TF: 54-55 | | 1999-12-23 | -anonymous- | NF | no factor TF: 53-54 | | 1999-09-22 | -anonymous- | NF | no factor TF: 52-53 |
|
