| 4519 | Composite, with 1 known prime factor. 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 | 16326 / 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 | 4D650BE6A1784F50 | 1 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | 4D650BE6A1784F50 | 1 | 413 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 855B3332389158EA | 1 | 3124 | 5 | 3 | | Verified | No proof (small exponent) | 2024-02-03 | Wentao Huang | 855B3332389158EA | 1 | 172 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-17 | masser | NF-PP1 | Start=148/61, B1=2100000000, B2=2097900000000 | | 2024-02-03 | Wentao Huang | C-PRP | M4519/6537366161 : 855B3332389158EA | | 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 | M4519/6537366161 : 855B3332389158EA | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M4519/6537366161 : 4D650BE6A1784F50 | | 2017-09-21 | Oliver Kruse | C-PRP | M4519/6537366161 : 4D650BE6A1784F50 | | 2017-09-21 | Oliver Kruse | C-PRP | M4519/6537366161 : 4D650BE6A1784F50 |
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