| 8123 | 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 | 9454 / 16550 |
Estimated T-Level: 47.9 ⓘ TF below 2^154 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 | 6E83F2219BA8B8ED | 2 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | 6E83F2219BA8B8ED | 2 | 3245 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 85B01F41729DBC73 | 2 | 7656 | 5 | 3 | | Verified | No proof (small exponent) | 2024-07-01 | kkmrkkblmbrbk | 85B01F41729DBC73 | 2 | 7748 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-23 | masser | NF-PP1 | Start=92/71, B1=1300000000, B2=1298700000000 | | 2024-07-01 | kkmrkkblmbrbk | C-PRP | M8123/1331130322727/25798649 : 85B01F41729DBC73 | | 2023-06-04 | JacobZ | NF-PM1 | B1=73000000000, B2=299074993103236350 | | 2021-12-16 | ANONYMOUS | NF-PM1 | B1=100000000 | | 2020-04-17 | Oliver Kruse | C-PRP | M8123/25798649/1331130322727 : 85B01F41729DBC73 | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M8123/25798649/1331130322727 : 6E83F2219BA8B8ED | | 2017-09-21 | Oliver Kruse | C-PRP | M8123/25798649/1331130322727 : 6E83F2219BA8B8ED | | 2017-09-21 | Oliver Kruse | C-PRP | M8123/25798649/1331130322727 : 6E83F2219BA8B8ED |
|
