| 8501 | 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 | 9565 / 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 | E26AD6AF97F5570C | 3 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-02 | kkmrkkblmbrbk | E26AD6AF97F5570C | 3 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-12-07 | ATH | E26AD6AF97F5570C | 3 | 5876 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | C99A5E73FCE6B819 | 3 | 7248 | 5 | 3 | | Verified | No proof (small exponent) | 2024-07-01 | kkmrkkblmbrbk | C99A5E73FCE6B819 | 3 | 742 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-11 | masser | NF-PP1 | Start=137/67, B1=1300000000, B2=1298700000000 | | 2024-07-01 | kkmrkkblmbrbk | C-PRP | M8501/1254822064406541848612167/221842097/680081 : C99A5E73FCE6B819 | | 2023-08-20 | JacobZ | NF-PM1 | B1=69000000000, B2=265422648792401100 | | 2021-12-16 | ANONYMOUS | NF-PM1 | B1=100000000 | | 2020-04-17 | Oliver Kruse | C-PRP | M8501/680081/221842097/1254822064406541848612167 : C99A5E73FCE6B819 | | 2017-12-07 | ATH | C-PRP | M8501/680081/221842097/1254822064406541848612167 : E26AD6AF97F5570C | | 2017-10-02 | kkmrkkblmbrbk | C-PRP | M8501/680081/221842097/1254822064406541848612167 : E26AD6AF97F5570C | | 2017-09-21 | Oliver Kruse | C-PRP | M8501/known_factors : E26AD6AF97F5570C |
|