| 4139 | Composite, with 3 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 | 18742 / 40830 |
Estimated T-Level: 52.3 ⓘ TF below 2^169 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 | F3F46C207B9BFE48 | 3 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-02 | kkmrkkblmbrbk | F3F46C207B9BFE48 | 3 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-12-07 | ATH | F3F46C207B9BFE48 | 3 | 3970 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 77CDB011EDA05343 | 3 | 1463 | 5 | 3 | | Verified | No proof (small exponent) | 2024-02-03 | Wentao Huang | 77CDB011EDA05343 | 3 | 2382 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-12 | masser | NF-PP1 | Start=84/67, B1=2600000000, B2=2597400000000 | | 2024-02-03 | Wentao Huang | C-PRP | M4139/16820897/3039351329192941366679/826832904495458248613111 : 77CDB011EDA05343 | | 2023-05-17 | -anonymous- | NF-PM1 | B1=78000000000, B2=782159992887753480 | | 2020-04-17 | Oliver Kruse | C-PRP | M4139/16820897/3039351329192941366679/826832904495458248613111 : 77CDB011EDA05343 | | 2019-02-12 | Joss | NF-PM1 | B1=10000000000 | | 2019-02-11 | Joss | NF-PM1 | B1=1000000000 | | 2019-02-10 | Joss | NF-PM1 | B1=300000000 | | 2017-12-07 | ATH | C-PRP | M4139/16820897/3039351329192941366679/826832904495458248613111 : F3F46C207B9BFE48 | | 2017-10-02 | kkmrkkblmbrbk | C-PRP | M4139/16820897/3039351329192941366679/826832904495458248613111 : F3F46C207B9BFE48 | | 2017-09-21 | Oliver Kruse | C-PRP | M4139/known_factors : F3F46C207B9BFE48 |
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