| 4523 | Composite, with 2 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 | 16550 / 16550 | | 55 | 110000000 | 17652 / 40830 |
Estimated T-Level: 52.2 ⓘ TF below 2^168 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 | C05315FA98C0764E | 2 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-10-02 | kkmrkkblmbrbk | C05315FA98C0764E | 2 | 0 | 1 | 3 | | Verified | No proof (small exponent) | 2017-12-07 | ATH | C05315FA98C0764E | 2 | 51 | 1 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | E392A5181F40D0ED | 2 | 3808 | 5 | 3 | | Verified | No proof (small exponent) | 2024-02-03 | Wentao Huang | E392A5181F40D0ED | 2 | 1963 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-17 | masser | NF-PP1 | Start=144/11, B1=2100000000, B2=2097900000000 | | 2024-02-03 | Wentao Huang | C-PRP | M4523/19651821391729/2596050564597672058956769 : E392A5181F40D0ED | | 2023-05-24 | -anonymous- | NF-PM1 | B1=71000000000, B2=711884755657775700 | | 2021-07-07 | ViliamF | NF-PM1 | B1=1000000000, B2=201000000000 | | 2020-04-17 | Oliver Kruse | C-PRP | M4523/19651821391729/2596050564597672058956769 : E392A5181F40D0ED | | 2017-12-07 | ATH | C-PRP | M4523/19651821391729/2596050564597672058956769 : C05315FA98C0764E | | 2017-10-02 | kkmrkkblmbrbk | C-PRP | M4523/19651821391729/2596050564597672058956769 : C05315FA98C0764E | | 2017-09-21 | Oliver Kruse | C-PRP | M4523/known_factors : C05315FA98C0764E | | 2009-10-25 | Carsten Kossendey | F-PM1 | Factor: 19651821391729 | | 1999-04-02 | -anonymous- | F-PM1 | Factor: 19651821391729 |
|
