is 2 3884411 - 1
has 1169325 decimal digits
takes 0.484 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0AAF00FAE4EB8989double-checked
PRP6F568CE94F64CB7CPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271123.076169.0141%234000001498879882501,480.855916.8729%1,603.932174.2423%5.2282%
PrimeNet2600.039563.3333%170003600000.00653.2455%0.046064.5233%1.1900%
GPU722640.916365.6250%240005000000.00902.2318%0.925366.3922%0.7672%
Difference+7+122.1598+3.3891%+23376000+149887488250+1,480.8469+14.6411%+1,603.0067+7.8501%+4.4610%

Known prime factors (1 factor, 123.6 bits, 0.00318214% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
38844111620153533765045955172245008053479064738123.6072085455856454229425223341464193
13 × 23 × 191 × 1613 × 363967 × 1239269 × 50191997923
2022-05-141239269501919979233.310e+10494.76923.67

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-30T13:38:00Carsten Kossendeyleela20000275000---0.006--0.637%
2011-10-14T20:36:00Squeeky_SquirrelT7500_2200700001137500---0.023--1.429%
2014-10-28T23:25:00Jocelyn LaroucheManual testing8652386523---0.016--0.529%
2016-02-03T10:08:09Jocelyn LaroucheManual testing23950023950006---0.065--2.227%
2020-11-23T16:41:09Carlos PinhoHomeComputer17100047290006---0.076--2.470%
2021-02-21T18:04:51axnManual testing15000000750000000---9.95--9.713%
2022-05-14T06:32:37DRobinsonPE5600G2340000014988798825038123.6071,4810.9692,96216.873%
2022-05-24T13:20:26Jocelyn LaroucheManual testing399500130364850---1.353--5.224%
2022-07-16T19:54:56Jocelyn LaroucheManual testing38844113891751500---39.01--10.640%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-08T00:00:00ANONYMOUSv4_computers21260--0.040--
1998-08-16T00:00:00ANONYMOUSv4_computers21260--0.040--
1999-01-17T00:00:00ANONYMOUSv4_computers21260--0.040--
2009-02-26T07:57:00S485122USB-A260261--0.040--
2011-02-09T08:49:00markroldgamer261262--0.079--
2012-02-29T05:42:00GrunwalderGIMPManual testing21263--0.411--
2016-02-23T16:29:42Mark RoseManual testing262263--0.253--
2015-01-18T20:58:00VictordeHollanderManual testing263264--0.505--
2015-01-18T20:58:00VictordeHollanderManual testing264265--0.962--
2016-02-18T12:14:00ramgeisManual testing265266--1.924--
2016-11-30T00:20:07Gordon SpenceManual testing266267--3.848--
2019-01-18T16:07:12YxinityManual testing267268--7.695--
2020-07-31T12:41:00TJAOIManual testing268269--15.39--
2021-01-31T06:27:55axnManual testing269270--30.78--
2021-01-31T06:27:55axnManual testing270271--61.56--


ECM factoring results:
Total ECM effort:4.882 GHz-days
Estimated T-Level:20.474
DigitsB1CompleteFacMiss
20110001.02235.972%
25500000.09590.951%
302500000.00699.402%


ECM Summary

B1B2factorcurvesGHz-days
500005000000193.397
50000700000071.485


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08T00:00:00ANONYMOUSv4_computers0AAF00FAE4EB89890.484
1998-08-16T00:00:00ANONYMOUSv4_computers0AAF00FAE4EB89890.484
1999-01-17T00:00:00ANONYMOUSv4_computers0AAF00FAE4EB89890.484
1999-08-31T00:00:00ANONYMOUSv4_computers0AAF00FAE4EB89890.484


PRP results:
dateuseridcompidcofactorsres64PRP
2022-05-14T21:59:55aperson12012_VP113
16201535337650459551722450080534790647
6F568CE94F64CB7Cno


P-1 factor-bounds graph:
B1 = 23400000, B2 = 149887988250 (P-1 stage 2)
B1 = 3884411, B2 = 3891751500 (P-1 stage 2)
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 23400000 (P-1 stage 1)
B1 = 15000000 (P-1 stage 1)
B1 = 399500, B2 = 130364850 (P-1 stage 2)
B1 = 3884411 (P-1 stage 1)
B1 = 171000, B2 = 4729000 (P-1 stage 2)
B1 = 399500 (P-1 stage 1)
B1 = 239500, B2 = 2395000 (P-1 stage 2)
B1 = 239500 (P-1 stage 1)
B1 = 171000 (P-1 stage 1)
B1 = 70000, B2 = 1137500 (P-1 stage 2)
B1 = 86523 (P-1 stage 1)
B1 = 70000 (P-1 stage 1)
B1 = 20000, B2 = 275000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-16T19:54:56+00:00