| 8161 | Composite, with 1 known prime factor. Cofactor is composite. Trial Factored to 268 TF target 244 |
| Factored | | Factor | Digits | Bits | Date |
|---|
| 6708343 | 7 | 22.7 | old |
|
| 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 | 9517 / 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 | 51D47019C7FCE8E1 | 1 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | 51D47019C7FCE8E1 | 1 | 5684 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | E98208C543BA7E68 | 1 | 6555 | 5 | 3 | | Verified | No proof (small exponent) | 2024-07-01 | kkmrkkblmbrbk | E98208C543BA7E68 | 1 | 4665 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-23 | masser | NF-PP1 | Start=165/41, B1=1300000000, B2=1298700000000 | | 2024-07-01 | kkmrkkblmbrbk | C-PRP | M8161/6708343 : E98208C543BA7E68 | | 2023-06-03 | JacobZ | NF-PM1 | B1=72000000000, B2=300970872589336950 | | 2021-12-16 | ANONYMOUS | NF-PM1 | B1=100000000 | | 2020-04-17 | Oliver Kruse | C-PRP | M8161/6708343 : E98208C543BA7E68 | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M8161/6708343 : 51D47019C7FCE8E1 | | 2017-09-21 | Oliver Kruse | C-PRP | M8161/6708343 : 51D47019C7FCE8E1 | | 2017-09-21 | Oliver Kruse | C-PRP | M8161/6708343 : 51D47019C7FCE8E1 |
|
