| 8821 | 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 | 6927 / 16550 |
Estimated T-Level: 47.1 ⓘ TF below 2^151 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 | 4C687D295A7361B0 | 3 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | 4C687D295A7361B0 | 3 | 7361 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | B32BE661F7E092DB | 3 | 1664 | 5 | 3 | | Verified | No proof (small exponent) | 2024-07-01 | kkmrkkblmbrbk | B32BE661F7E092DB | 3 | 8212 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-04-29 | masser | NF-PP1 | Start=120/61, B1=1000000000, B2=999000000000 | | 2024-07-01 | kkmrkkblmbrbk | C-PRP | M8821/3324257766967/405767/6003333021641 : B32BE661F7E092DB | | 2023-08-05 | JacobZ | NF-PM1 | B1=66000000000, B2=254680416808818000 | | 2021-12-16 | ANONYMOUS | NF-PM1 | B1=100000000 | | 2020-04-17 | Oliver Kruse | C-PRP | M8821/405767/3324257766967/6003333021641 : B32BE661F7E092DB | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M8821/405767/3324257766967/6003333021641 : 4C687D295A7361B0 | | 2017-09-21 | Oliver Kruse | C-PRP | M8821/405767/3324257766967/6003333021641 : 4C687D295A7361B0 | | 2017-09-21 | Oliver Kruse | C-PRP | M8821/405767/3324257766967/6003333021641 : 4C687D295A7361B0 |
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