| 7723 | Composite, with 1 known prime factor. 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 | 13902 / 16550 |
Estimated T-Level: 49.2 ⓘ TF below 2^158 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 | DC2F54EBBE4DA76A | 1 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-12 | kkmrkkblmbrbk | DC2F54EBBE4DA76A | 1 | 6624 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 5338D5E9FB699E1F | 1 | 3414 | 5 | 3 | | Verified | No proof (small exponent) | 2024-02-03 | Wentao Huang | 5338D5E9FB699E1F | 1 | 5295 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-29 | masser | NF-PP1 | Start=156/47, B1=1300000000, B2=1298700000000 | | 2024-12-10 | yuriy_5-1 | NF-PM1 | B1=24000000000, B2=93848103835646160 | | 2024-02-03 | Wentao Huang | C-PRP | M7723/27077623426582198666769719 : 5338D5E9FB699E1F | | 2021-07-09 | ViliamF | NF-PM1 | B1=1000000000, B2=201000000000 | | 2020-04-17 | Oliver Kruse | C-PRP | M7723/27077623426582198666769719 : 5338D5E9FB699E1F | | 2017-10-12 | kkmrkkblmbrbk | C-PRP | M7723/27077623426582198666769719 : DC2F54EBBE4DA76A | | 2017-09-21 | Oliver Kruse | C-PRP | M7723/27077623426582198666769719 : DC2F54EBBE4DA76A | | 2017-09-21 | Oliver Kruse | C-PRP | M7723/27077623426582198666769719 : DC2F54EBBE4DA76A |
|
