| 3491 | Composite, with 1 known prime factor. Cofactor is composite. Trial Factored to 268 TF target 244 |
| Factored | | Factor | Digits | Bits | Date |
|---|
| 6983 | 4 | 12.8 | 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 | 16550 / 16550 | | 55 | 110000000 | 14505 / 40830 |
Estimated T-Level: 51.8 ⓘ TF below 2^167 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 | 44CB60106D0A3DFA | 1 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | 44CB60106D0A3DFA | 1 | 2969 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 482E48BC26CA0CE1 | 1 | 3462 | 5 | 3 | | Verified | No proof (small exponent) | 2022-05-12 | Jorge Coveiro | 482E48BC26CA0CE1 | 1 | 1462 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-04-29 | masser | NF-PP1 | Start=86/23, B1=3100000000, B2=3096900000000 | | 2022-06-01 | mikr | NF-PM1 | B1=120000000000, B2=314609067502780050 | | 2022-05-12 | Jorge Coveiro | C-PRP | M3491/6983 : 482E48BC26CA0CE1 | | 2022-03-01 | mikr | NF-PM1 | B1=60000000000, B2=197161572725167050 | | 2021-09-05 | Jinyuan Wang | NF-PM1 | B1=1300000000, B2=13000000000 | | 2020-04-17 | Oliver Kruse | C-PRP | M3491/6983 : 482E48BC26CA0CE1 | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M3491/6983 : 44CB60106D0A3DFA | | 2017-09-21 | Oliver Kruse | C-PRP | M3491/6983 : 44CB60106D0A3DFA | | 2017-09-21 | Oliver Kruse | C-PRP | M3491/6983 : 44CB60106D0A3DFA |
|
