is 2 1827901 - 1
has 550254 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6E0FCC07ED74A730double-checked
PRPFD3DC21F6AAB3B9Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.608469.1176%23846051827901000.96088.2045%33.569171.6514%2.5337%
PrimeNet2570.010563.1579%80001500000.00122.8785%0.011764.2184%1.0605%
GPU722610.168165.5738%90001400000.00131.5942%0.169366.1226%0.5488%
Difference+7+32.4403+3.5439%+2375605+182650100+0.9595+6.6102%+33.3998+5.5288%+5.5288%

Known prime factors (1 factor, 70.3 bits, 0.00384485% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
182790114335432343941920055992270.280392128248300699
3 × 4523 × 28898831771
2021-02-12452328898831771252.46123.85231.32

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-12-31T16:01:00markrtiny2750006000000---0.046--3.526%
2015-10-06T21:30:12Bruno Victal5820K-linux5000001500000012---0.101--4.599%
2016-08-23T15:10:32Jocelyn LaroucheManual testing5000003000000012---0.166--5.211%
2016-10-07T05:52:36Jocelyn Larouchelow 4M500000360000006---0.191--5.374%
2016-10-27T15:20:23Jocelyn Larouchelow 4M798600798600---0.063--2.159%
2016-10-29T20:53:42Jocelyn Larouchelow 4M958320958320---0.075--2.321%
2017-03-21T00:47:12Jocelyn Larouchelow 4M13799801379980012---0.162--5.017%
2017-03-29T03:10:18Jocelyn Larouchelow 4M16559761655976012---0.194--5.283%
2017-03-31T06:29:11Jocelyn Larouchelow 4M19871711987171012---0.233--5.555%
2017-05-22T21:10:26Jocelyn Larouchelow 4M23846052384605012---0.280--5.833%
2018-02-08T17:39:28Jocelyn Larouchelow 4M23846054769210012---0.382--6.634%
2018-02-24T11:25:43Jocelyn Larouchelow 4M23846059538420012---0.586--7.441%
2018-09-12T18:46:13Jocelyn Larouchelow 4M238460518279010012---0.961--8.204%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.063--
2010-04-09T22:34:00Architects CubedManual testing260261--0.084--
2016-02-23T16:28:54Mark RoseManual testing261262--0.168--
2011-03-08T05:14:00GrunwalderGIMPManual testing21263--0.873--
2016-02-23T16:28:54Mark RoseManual testing262263--0.537--
2015-04-25T21:24:00snme2pm1Manual testing263264--1.074--
2015-04-25T21:24:00snme2pm1Manual testing264265--2.044--
2015-09-04T17:59:00ramgeisManual testing265266--4.088--
2018-04-23T13:17:24TJAOIManual testing266267--8.176--
2019-06-24T09:36:03TJAOIManual testing267268--16.35--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.861 GHz-days
Estimated T-Level:24.714
DigitsB1CurvesCompleteFacMiss
2011000264 / 1002.6407.042%
2550000264 / 2800.94338.886%

New Calculation Method

Total ECM effort:18.861 GHz-days
Estimated T-Level:24.714
DigitsB1CompleteFacMiss
20110008.6770.017%
25500000.78545.615%
302500000.04895.273%
3510000000.00299.778%


ECM Summary

B1B2factorcurvesGHz-days
50000500000018712.91
50000500000060.414
500006600000705.450
60000600000010.083


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02T00:00:00ANONYMOUSv4_computersDA1B0E9727E912__0.099
1999-03-15T00:00:00Dry Creek Photov4_computers6E0FCC07ED74A7300.099
2015-06-27T00:56:00MadPooManual testing6E0FCC07ED74A7300.099


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-12T21:57:51ViliamF3
1433543234394192005599
FD3DC21F6AAB3B9Cno


P-1 factor-bounds graph:
B1 = 2384605, B2 = 182790100 (P-1 stage 2)
B1 = 2384605, B2 = 95384200 (P-1 stage 2)
B1 = 2384605, B2 = 47692100 (P-1 stage 2)
B1 = 2384605, B2 = 23846050 (P-1 stage 2)
B1 = 1987171, B2 = 19871710 (P-1 stage 2)
B1 = 1655976, B2 = 16559760 (P-1 stage 2)
B1 = 500000, B2 = 36000000 (P-1 stage 2)
B1 = 2384605 (P-1 stage 1)
B1 = 500000, B2 = 30000000 (P-1 stage 2)
B1 = 1379980, B2 = 13799800 (P-1 stage 2)
B1 = 1987171 (P-1 stage 1)
B1 = 1655976 (P-1 stage 1)
B1 = 1379980 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 958320 (P-1 stage 1)
B1 = 798600 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-04-16T16:25:05+00:00