| 4591 | 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 | 16550 / 16550 | | 55 | 110000000 | 32173 / 40830 |
Estimated T-Level: 53.9 ⓘ TF below 2^174 is very unlikely to find new factors due to ECM effort. |
| LL | | Status | Date | User | Residue | Shift | Software |
|---|
| Factored | | Unknown | 4EA3 | 0 | Unknown,(aka U) | | Factored | | George Woltman | 4DF7B43264724EA3 | 0 | Woltman,Prime95,first web release,(aka W4) | | Factored | | Brian J. Beesley | 4DF7B43264724EA3 | 0 | Mac,John Sweeney,v1.4,(aka J3) | | Factored | 2015-04-11 | MadPoo 🙂 | 4DF7B43264724EA3 | 2496 | Windows 64-bit,Prime95,v26,(aka We4) |
|
| PRP Cofactor | | Status | Proof | Date | User | Residue | Number of
known factors | Shift | Type | Base |
|---|
| Verified | No proof (small exponent) | 2018-12-13 | Anton Repko | 7BF6B168FBCCDE42 | 1 | 2678 | 5 | 3 | | Verified | No proof (small exponent) | 2018-12-14 | kkmrkkblmbrbk | 7BF6B168FBCCDE42 | 1 | 3103 | 5 | 3 | | Verified | No proof (small exponent) | 2020-04-17 | Oliver Kruse | 7BF6B168FBCCDE42 | 1 | 2051 | 5 | 3 |
|
| History | | Date | User | Type | Result |
|---|
| 2025-05-18 | masser | NF-PP1 | Start=72/71, B1=2100000000, B2=2097900000000 | | 2023-05-25 | -anonymous- | NF-PM1 | B1=69000000000, B2=691971895408493700 | | 2020-04-17 | Oliver Kruse | C-PRP | M4591/622304041006452740824160434864315474346236458056663 : 7BF6B168FBCCDE42 | | 2018-12-14 | kkmrkkblmbrbk | C-PRP | M4591/622304041006452740824160434864315474346236458056663 : 7BF6B168FBCCDE42 | | 2018-12-13 | Anton Repko | C-PRP | M4591/622304041006452740824160434864315474346236458056663 : 7BF6B168FBCCDE42 | | 2018-12-13 | Anton Repko | F-ECM | Factor: 622304041006452740824160434864315474346236458056663 | | 2018-07-13 | snme2pm1 | NF | no factor TF: 63-64 | | 2016-12-02 | snme2pm1 | NF | no factor TF: 62-63 | | 2016-11-24 | -anonymous- | NF-PM1 | B1=100000000000, B2=1000000000000, E=12 | | 2016-02-23 | LaurV | NF | no factor TF: 57-58 | | 2015-06-21 | mikr | NF-PM1 | B1=30000000000, B2=2400000000000, E=12 | | 2015-06-19 | Sid & Andy | NF | no factor TF: 61-62 | | 2015-04-11 | MadPoo 🙂 | C-LL | 4DF7B43264724EA3 | | 2015-02-12 | Jayder | NF-PM1 | B1=2560040779, B2=163842609831, E=12 | | 2012-09-29 | bcp19 | NF | no factor TF: 60-61 | | 2011-05-04 | Joss | NF-PM1 | B1=10000000000 | | 2011-01-27 | monst | NF | no factor TF: 58-60 | | 2003-01-09 | -anonymous- | NF | no factor TF: 1-57 | | 2003-01-09 | -anonymous- | NF-PM1 | B1=4290000000 | | 2002-09-22 | -anonymous- | NF-PM1 | B1=3221225472, B2=4290000000, E=48 | | 2002-08-10 | -anonymous- | NF-PM1 | B1=2147483648, B2=4290000000, E=48 | | 2002-06-02 | -anonymous- | NF-PM1 | B1=1073741824, B2=4290000000, E=48 | | 2001-07-07 | -anonymous- | NF-PM1 | B1=3000000000, B2=4290000000 | | 2001-06-17 | -anonymous- | NF-PM1 | B1=43000000, B2=4290000000 | | 2001-02-11 | -anonymous- | NF-PM1 | B1=1000000, B2=100000000 | | 2000-08-24 | -anonymous- | NF | no factor TF: 1-56 | | 2000-02-16 | -anonymous- | NF | no factor TF: 54-55 | | 1999-12-30 | -anonymous- | NF | no factor TF: 53-54 | | 1999-09-30 | -anonymous- | NF | no factor TF: 52-53 |
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