| 4723 | Composite, with 2 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 | 16317 / 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 | E48F7B9E461DC4CF | 2 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | E48F7B9E461DC4CF | 2 | 1058 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | CF3CA40DE2B81EC1 | 2 | 1919 | 5 | 3 | | Verified | No proof (small exponent) | 2024-02-03 | Wentao Huang | CF3CA40DE2B81EC1 | 2 | 157 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-20 | masser | NF-PP1 | Start=96/37, B1=2100000000, B2=2097900000000 | | 2024-02-03 | Wentao Huang | C-PRP | M4723/2909369/26026208176993 : CF3CA40DE2B81EC1 | | 2023-05-28 | -anonymous- | NF-PM1 | B1=67000000000, B2=672059035159211700 | | 2020-04-17 | Oliver Kruse | C-PRP | M4723/2909369/26026208176993 : CF3CA40DE2B81EC1 | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M4723/2909369/26026208176993 : E48F7B9E461DC4CF | | 2017-09-21 | Oliver Kruse | C-PRP | M4723/2909369/26026208176993 : E48F7B9E461DC4CF | | 2017-09-21 | Oliver Kruse | C-PRP | M4723/2909369/26026208176993 : E48F7B9E461DC4CF |
|
